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Topic: Gauge symmetries

Related Topics

spontaneous symmetry breaking

symmetry of second derivatives

bilateral symmetry

CP symmetry

radial symmetry

P symmetry

T symmetry

CPT symmetry

mirror symmetry

rotational symmetry

gauge symmetries

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	Global and Local Gauge Symmetries
		Two global or universal gauges are involved, the electromagnetic constant c, regulating the global spatial metric, intrinsic motion, and the invariance of the "Interval", and the gravitational constant G, regulating the local temporal metric, inertial forces, and the invariance of causality.
		The local symmetry is gravity, gauged by "velocity G", which regulates the conversion of space and the intrinsic motion of light (the expansive entropy drive of space and free energy) to history and the intrinsic motion of time (the expansive, one-way entropy drive of bound energy's time dimension).
		We observe that the local symmetry gauge currents (the field vectors of the forces), which are explicitly expressed in the material world, are in the case of both the spacetime metric (time) and the electromagnetic force (magnetism), devolved from an implicit expression embedded in the original global symmetry state.
	www.people.cornell.edu /pages/jag8/gauge5.html (5993 words)

	Spartanburg SC \| GoUpstate.com \| Spartanburg Herald-Journal (Site not responding. Last check: 2007-11-02)
		Symmetry in physics refers to various features of a physical system that can be said to exhibit the property of symmetryâ”that is, under certain transformations, aspects of these systems are shown to or appear to "be unchanged," according to a particular observation.
		CP violation, the violation of the combination of C and P symmetry, is a currently fruitful area of particle physics research, as well as being necessary for the presence of significant amounts of matter in the universe and thus the existence of life.
		Also, the reduction by symmetry of the energy functional under the action by a group and spontaneous symmetry breaking of transformations of symmetric groups appear to elucidate topics in particle physics (for example, the unification of electromagnetism and the weak force in physical cosmology).
	www.goupstate.com /apps/pbcs.dll/section?category=NEWS&template=wiki&text=symmetry_in_physics (1878 words)

	SYMMETRY, (Site not responding. Last check: 2007-11-02)
		So-called symmetry operations are those mathematical transformations that produce a figure identical to the original or a mirror image of the original figure.
		Symmetry operations are defined with respect to a given point (center of symmetry), line (axis of symmetry), and plane (plane of symmetry).
		Such symmetries exist in the mathematical “space” of that realm and underlie the conservation of such quantities as charge, parity, baryon and lepton number, and total strangeness, even as certain particles are substituted for one another.
	www.history.com /encyclopedia.do?vendorId=FWNE.fw..sy224600.a (451 words)

	Global-Local Gauge Symmetries of the Weak Force
		The locally imperfect symmetry state of the electron-proton pair is devolved and derived from the globally perfect symmetry state of virtual matter-antimatter particle pairs via the agency of the "X" and "W" IVBs.
		Perhaps the most important of these symmetries is the "anonymity" symmetry of the photon, conserved as the weak force "identity" charge (also known as lepton "number" charge, or "flavor" charge among the quarks).
		The global symmetry state is expressed as the universal constant of electric charge (e), whatever its origin or carrier, and in the electrical neutrality of the vacuum with its manifold virtual particle-antiparticle pairs, as well as in the electrical neutrality of light.
	www.people.cornell.edu /pages/jag8/gauge13.html (5034 words)

	Symmetry and Symmetry Breaking (Stanford Encyclopedia of Philosophy)
		The extension of the concept of continuous symmetry from “global” symmetries (such as the Galilean group of spacetime transformations) to “local” symmetries is one of the important developments in the concept of symmetry in physics that took place in the twentieth century.
		Symmetries may be used to explain (i) the form of the laws, and (ii) the occurrence (or non-occurrence) of certain events (this latter in a manner analogous to the way in which the laws explain why certain events occur and not others).
		Another reason for attributing symmetries to nature is the so-called geometrical interpretation of spatiotemporal symmetries, according to which the spatiotemporal symmetries of physical laws are interpreted as symmetries of spacetime itself, the “geometrical structure” of the physical world.
	plato.stanford.edu /entries/symmetry-breaking (9828 words)

	Symmetry Principles of the Unified Field Theory (a "Theory of Everything") (Site not responding. Last check: 2007-11-02)
		In the "global vs local gauge symmetry" representation of the cosmic conservation mechanism, the global symmetry is carried by massless light, space, absolute motion (the intrinsic and invariant motion of light), and "gauged" (regulated) by c, the electromagnetic energy constant.
		The electromagnetic constant c is the universal "gauge" or regulator (in the sense of railroad track or wire gauges) for the "metric" of spacetime, the fixed relationship which establishes the equivalence of measurement within and between the dimensions: 300,000 km of space is metrically equivalent to 1 second of time.
		Time is the compensating component of the local gauge symmetry "current" or field vector (the graviton or spacetime), derived from the global state by the gravitational annihilation of space and the extraction of a metrically equivalent temporal residue.
	home.earthlink.net /~johngowan/astro.html (18804 words)

	Global and Local Gauge Symmetries in the "Tetrahedron Model"
		This symmetry in the spatial distribution of light's energy is a consequence of light's "non-locality", and according to Noether's Theorem, "non-locality" is a symmetry of light which must be conserved.
		The eventual effect of the gravitational local gauge symmetry current with respect to mass (the time "current" or "graviton" flow produced by the gravitational "location" charge of mass), is to gather all massive objects in one place and return them to light (as in the stars).
		The effect of the spherical geometric symmetry of gravitation is therefore to reconnect the global and local metric gauge symmetries in a loop of conservation that circles from the raw energy and the intrinsic motion of light, to mass and gravitation, and finally back to light - as in our Sun.
	www.people.cornell.edu /pages/jag8/gauge12.html (4227 words)

	Universal Symmetry
		But the symmetry of the tetrahedron is not quite the same as that of a snowflake because the snowflake has a transformation which must be repeated six times to restore it to its original position and the tetrahedron does not.
		Symmetry is proving to be a powerful unifying tool in particle physics because through symmetry and symmetry breaking, particles which appear to be different in mass, charge etc. can be understood as different states of a single unified field theory.
		Gauge symmetry is a symmetry of the classical field which is preserved in the process of quantisation.
	www.weburbia.com /pg/symmetry.htm (4557 words)

	General Systems, Gravitation, and the Unified Field Theory
		In matter, light's symmetries are conserved by charge and spin; in spacetime, by inertial and gravitational forces.
		During the "Big Bang", the asymmetric interaction of high energy light, the weak force, and metric spacetime produces matter; matter carries charges which are the symmetry (and entropy) debts of the light which created it.
		Identifying the broken symmetries of light associated with each of the 4 forces of physics is the first step toward a conceptual unification of those forces.
	www.people.cornell.edu /pages/jag8 (771 words)

	Tetrahedron Model of Light and Conservation Law
		Symmetry conservation suppresses the creation of "real" particles from the virtual "sea": as the force carrier or field vector of electric charge, the photon protects its own symmetry by means of particle-antiparticle annihilation reactions.
		It is the function of "velocity c" to maintain the metric symmetry of space by suppressing time to an implicit state, and to maintain light's "non-local" symmetric energy state by preventing the devolution of free energy into asymmetric mass, time, gravitation, and charge.
		Velocity c is both the entropy drive and the symmetry gauge of the spacetime metric; gravitation is both an entropy and a symmetry debt of light's "non-local" character.
	people.cornell.edu /pages/jag8/trintxtcut.html (4416 words)

	CERN Courier - The W and Z at LEP - IOP Publishing - article
		The gauge symmetry theory was introduced by Hermann Weyl as the basic symmetry principle of quantum electrodynamics; the scheme was later generalized by C N Yang and R L Mills to non-abelian gauge symmetries, before being recognized as the basis of the (electro) weak and strong interactions.
		The prediction of gauge cancellations is clearly borne out by the LEP data (see figure 8), thus confirming the crucial impact of gauge symmetries on the dynamics of the electroweak Standard Model sector in a most impressive way.
		The role of the gauge symmetries can be quantified by measuring the static electroweak parameters of the charged W bosons, i.e.
	www.cerncourier.com /main/article/44/4/15/1 (2374 words)

	atdotde: Effectiveness of Symmetry (Site not responding. Last check: 2007-11-02)
		We are used from string theory that at least continuous symmetries are always local and global symmetries arise only as asymptotic versions of local symmetries.
		Some gauge anomalies are consistent, like the chiral Schwinger model or the subcritical string, and some are not, like those in the standard model or the supercritical string.
		Of course, both local gauge invariance and general covariance can be realized in a trivial way, by taking A_u(x) and g_uv(x) to be non-dynamical c-number functions that simply characterize a choice of phase or coordinate system, respectively.
	atdotde.blogspot.com /2006/12/effectiveness-of-symmetry.html (745 words)

	Cruithne - Introduction to String theories
		Gauge symmetry is SO(32); charges are attached to the ends of the strings.
		Gauge symmetries are abstract symmetries (as opposed to geometric symmetries, which are relatively easy to observe) that regulate assorted forces, including electrical voltage.
		Gauge symmetries are very important in binding forces together in theories.
	dimensionalarea.net /myfiles/paper-2002-superstring.htm (1413 words)

	allnurses.com
		Gravitation and Gauge Symmetries sheds light on the connection between the intrinsic structure of gravity and the principle of gauge invariance, which may lead to a consistent unified field theory.
		The next chapter deals with elements of global Poincare and conformal symmetries, which are necessary for the exposition of their localizations; the structure of the corresponding gauge theories of gravity is explored in chapters 3 and 4.
		Gravitation and Gauge Symmetries will be of interest to postgraduate students and researchers in gravitation, high energy physics and mathematical physics.
	www.allnurses.com /nursingbooks/shop.php?c=NsgBooks&n=14561&i=0750307676 (365 words)

	[No title]
		The purpose of the present note is to extend the EBL to gauge symmetries and gauge-symmetric problems; this will be done by looking at gauge symmetries as a specific class of Lie-point symmetries in an appropriate space.
		Symmetry of differential equations} \bigskip Despite the simplicity of the EBL, we will best understand it by looking at it as composed of two parts, a "reduction lemma" and a "branching lemma"; the reduction part is in facts completely general and does not depend on any bifurcation phenomena or assumption.
		Gauge symmetries and Lie point vector fields} \bigskip We want now to point out that, as claimed above, gauge symmetries are a special case of evolutionary Lie-point symmetries.
	www.ma.utexas.edu /mp_arc/papers/93-53 (6968 words)

	two-time-physics
		The new phenomenon in two-time physics is that the gauge symmetry can be used to obtain various one-time dynamical systems from the same simple action of two-time physics, through gauge fixing, thus uncovering a new layer of unification through higher dimensions.
		The reason to be interested in such a local symmetry is that duality symmetries in M-theory and N=2 super Yang-Mills theory have similarities to gauge symplectic transformations, and their origin in the fundamental theories in physics remains a mystery.
		In the 11D-covariant gauge fixed corner, the supergroup OSp(164) is interpreted as the conformal supergroup in 11-dimensions, with 32 supersymmetries and 32 superconformal symmetries.
	physics.usc.edu /~bars/twoTph.htm (1281 words)

	Hidden symmetries \| Cosmic Variance
		To physicists, a “symmetry” is a situation where you can rearrange things a bit (values of quantum fields, positions in space, any of the characteristics of some physical state) and get the same answer to any physical question you may want to ask.
		But other times you have gauge symmetries, which aren’t really symmetries at all — they are just situations in which it’s useful to introduce more fields than really exist, along with a symmetry between them, to make a more elegant description of the physics.
		Gauge symmetries come along with gauge bosons, which are massless force-carrying particles like the photon and the gluons.
	cosmicvariance.com /2005/10/24/hidden-symmetries (2698 words)

	what's the matter notes session 6
		Then all the gauge symmetries of quantum field theory are understood to be much like the rotational symmetries of the 11-dimensional spacetime.
		Inspired by the prevalence of gauge symmetries in quantum field theory, some physicists have postulated that there is a symmetry between the fermion type particles and the boson type particles.
		Also, it is hoped that the gauge symmetries of the quantum wave functions could be understood as something like rotational symmetries in the 11 dimensional space.
	homepage.mac.com /stevepur/physics/matter/matter.6.html (1715 words)

	Spartanburg SC \| GoUpstate.com \| Spartanburg Herald-Journal (Site not responding. Last check: 2007-11-02)
		Grand unification is based on the idea that at extremely high energies, all symmetries have the same gauge coupling strength, which is consistent with the speculation that they are really different manifestations of a single overarching gauge symmetry.
		Also, reasoning in analogy with the 19th-century unification of electricity with magnetism into electromagnetism, and especially the success of the electroweak theory, which utilizes the idea of spontaneous symmetry breaking to unify electromagnetism with the weak interaction, people wondered if it might be possible to unify all three groups in a similar manner.
		A gauge theory where the gauge group is a simple group only has one gauge coupling constant, and since the fermions are now grouped together in larger representations, there are fewer Yukawa coupling coefficients as well.
	www.goupstate.com /apps/pbcs.dll/section?category=NEWS&template=wiki&text=grand_unification_theory (1200 words)

	[No title]
		Your way, which > > is the standard one, is to consider gauge symmetries as a redundancy in > > the description of the system.
		One then wants to eliminate the gauge > > degrees of freedom by passing to orbit space, but this cannot be done in > > the presence of anomalies of any kind.
		If you assume that gauge degrees of freedom must be redundant after quantization, and they in fact are not, you run into an inconsistency.
	www.math.niu.edu /~rusin/known-math/01_incoming/BRST (1929 words)

	Unification and distance scales
		The success of spontaneous symmetry breaking in explaining electroweak physics led physicis to wonder whether the three particle theories of the SU(3)xSU(2)xU(1) model could be the spontaneously broken version of a higher unified theory at some higher energy scale, a single theory with only one gauge group and one coupling constant.
		However, these are supersymmetric theories in ten spacetime dimensions, so the symmetry breaking scheme also has to be involved with breaking the supersymmetry (because fermions and bosons don't come in pairs in the real world) and dealing with the extra six space dimensions in some manner.
		The spontaneous symmetry breaking mechanism would presumably be scalar field potentials of the form shown above, where a subset of the scalar fields with normal modes like the radial mode become massive, and the remaining massless scalar fields become longitudinal modes of massive gauge bosons to break the gauge symmetry down to the next level.
	superstringtheory.com /experm/exper3a2.html (1002 words)

	Gauge symmetries in Ashtekar's formulation of general relativity (Site not responding. Last check: 2007-11-02)
		Gauge symmetries in Ashtekar's formulation of general relativity
		The requirement of projectability of the Legendre map from configuration-velocity space to phase space significantly alters the symmetry group, yet there is a sense in which the full four-dimensional diffeomorphism group survives.
		Symmetry generators serve as Hamiltonians on members of equivalence classes of solutions of Einstein's equations and are thus intimately related to the so-called ``problem of time" in an eventual quantum theory of gravity.
	flux.aps.org /meetings/YR99/TSF99/abs/S210005.html (138 words)

	Basic Ideas (Site not responding. Last check: 2007-11-02)
		There are also functions defined on the two-dimensional world-sheet that describe other degrees of freedom, such as those associated with supersymmetry and gauge symmetries.
		Surprisingly, classical string theory dynamics is described by a conformally invariant 2D quantum field theory.
		(Roughly, conformal invariance is symmetry under a change of length scale.) What distinguishes one-dimensional strings from higher dimensional analogs is the fact that this 2D theory is renormalizable (no bad short-distance infinities).
	www.kolej.mff.cuni.cz /~lmotm275/Gods/Strings/string14.htm (136 words)

	[No title]
		These internal symmetries are called gauge symmetries, and in 1971 t'Hooft and Veltman proved that gauge symmetric theories are renormalizable; i.e., well-behaved when you try to calculate measurable things such as scattering cross-sections.
		The SU(3) symmetry came from the assumption that you had three types of quarks in the hadrons, labeled by their three flavors (up, down and strange), and the interactions between the quarks were assumed to be independent of their flavor.
		This was similar to the old "isospin" symmetry in the nuclear force between neutrons and protons.
	www.leptonica.com /particle-primer.html (10065 words)

	Supersymmetry
		For example, a sphere is rotationally symmetrical since its appearance does not change if it is rotated." Nature is considered by physicists to have a number of symmetries; for example, the equivalence principle of general relativity, which states that physical laws are the same for all frames of reference, even those in accelerated motion.
		Nature also possesses rotational symmetry, which states that the laws of physics are the same for all orientations.
		Furthermore, nature observes gauge symmetries, or symmetries stating that the laws of physics remain the same despite changes in the states of particles that determine their responsiveness to the fundamental forces.
	library.thinkquest.org /27930/stringtheory3.htm (1316 words)

	CERN Courier - Bookshelf - IOP Publishing - article
		DeWitt introduces local (gauge) symmetries early on; global symmetries follow at the end as a residue or bonus.
		In the Standard Model, for example, the global symmetry (B-L, baryon minus lepton number) appears only after we consider the most general renormalizable Lagrangian consistent with the underlying gauge symmetries.
		String theory is an extreme example where all symmetries are related to gauge symmetries.
	www.cerncourier.com /main/article/44/3/20 (1395 words)

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