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	Goldstone boson - Wikipedia, the free encyclopedia
		In theories with gauge symmetry, the Goldstone bosons are "eaten" by the gauge bosons.
		In fluids, the phonon is longitudinal and it is the Goldstone boson of the spontaneously broken Galilean symmetry.
		The longitudinal polarization components of the W and Z bosons correspond to the Goldstone bosons of the spontaneously broken electroweak symmetry.
	en.wikipedia.org /wiki/Goldstone_boson (774 words)

	Open Questions: Higgs Physics
		For one thing, the gauge bosons of the theory -- the W and Z particles which mediate the weak force -- have large masses, unlike the gauge bosons of electromagnetism (photons) or of the strong force (gluons).
		The exact proportion of these two bosons that have to be mixed to yield a photon is given by a mysterious parameter called the "electroweak mixing angle".
		In the presence of the Higgs field, the Goldstone boson, in effect, becomes the third polarization state of a gauge boson.
	www.openquestions.com /oq-ph008.htm (9023 words)

	Unification and distance scales
		In the end there has to be only one massless gauge boson -- the photon that carries the electromagnetic force -- and three massive gauge bosons mediating the short range weak nuclear force.
		Therefore, three massless scalar normal modes (also known as Goldstone bosons) are needed to serve as longitudinal modes to turn the four massless gauge bosons into one massless gauge boson and three massive gauge bosons.
		Remember that for a single complex scalar field, the massless mode, or Goldstone boson, comes from the angular normal mode that oscillates around the flat circle at the potential minimum.
	superstringtheory.com /experm/exper3a1.html (899 words)

	Jonathan A. Bagger: Research Activities
		We study in some detail the spectral phenomenology of models in which supersymmetry is dynamically broken and transmitted to the supersymmetric partners of the quarks, leptons and gauge bosons, and the Higgs bosons themselves, via the usual gauge interactions.
		We identify the Goldstone multiplet with an N=1 chiral superfield, and show that chiral N=1 matter is consistent with the partially broken N=2 supersymmetry.
		In this unitary gauge, the Goldstone bosons become the longitudinal components of massive gauge bosons.
	www.pha.jhu.edu /~bagger/research.html (1428 words)

	Higgs Fields? - Page 2 - Advanced Physics Forums
		Goldstone proved an annoying theorem (Goldstone\'s theorem), that said that you always have to have massless particles associated with the degrees of freedom of a gauge symmetry, the socalled \"goldstone bosons\".
		I think you mean: you always have to have massless particles associated with the breaking of a continuous symmetry.
		And there are some observed (quasi-)Goldstone bosons: the pions, for example, get their (near-)masslessness from the spontaneous breaking of chiral symmetry in the QCD vacuum.
	www.advancedphysics.org /forum/showthread.php?p=10068 (502 words)

	Re: Sgoldstino (via CobWeb/3.1 planetlab2.tamu.edu) (Site not responding. Last check: 2007-10-11)
		The massterm of these bosons has "the wrong sign" so that you have to chose a different value than 0 as the vacuum-expectation value of these fields because the solution phi=0 is unstable due to the "wrong sign" of the mass term.
		This means the would-be Goldstone bosons are "eaten up" by the gauge bosons in the sense that they contribute as the third field degree of freedom for any gauge boson.
		In the case of a local gauge symmetry these Goldstone bosons are exactly those which are "eaten up" by the gauge fields in the above explained way.
	www.lns.cornell.edu.cob-web.org:8888 /spr/2001-07/msg0033982.html (520 words)

	Nonlocal Models of Goldstone Bosons ... (via CobWeb/3.1 planetlab2.tamu.edu) (Site not responding. Last check: 2007-10-11)
		The introduction of Goldstone boson fields as fluctuations of an order parameter in our model is motivated by this analogy in condensed matter physics*.
		For the case of QCD it is well known that the pseudoscalar octet mesons have the properties required of almost-Goldstone bosons of spontaneously broken chiral symmetry; this is borne out by lattice Monte Carlo simulations [6].
		Through Goldstone's theorem [2] this implies the existence of massless particles, one for each broken generator, each with the quantum numbers of the associated generator.
	particle.physics.ucdavis.edu.cob-web.org:8888 /archive/Thesis.html (4902 words)

	Higgs Fields? [Archive] - Advanced Physics Forums
		My objection to Higgs includes the \'miraculous\' contribution to the effective mass of the Higgs from bosons and fermions having opposite signs,thus the effect of all virtual particles cancels and the mass of the Higgs scalar is not affected by higher energy scales.
		People tried to find tricks around it, but Goldstone proved an annoying theorem (Goldstone\'s theorem), that said that you always have to have massless particles associated with the degrees of freedom of a gauge symmetry, the socalled \"goldstone bosons\".
		It gave terms that mimicked mass to the gauge particles, it eliminated the goldstone bosons and gave, by its interactions, a mimicked mass term to the fermions.
	www.advancedphysics.org /forum/archive/index.php/t-514.html (1532 words)

	NERSC 2000 Annual Report: Science Highlights: High Energy and Nuclear Physics
		A charged pion condensate is expected to form for large enough chemical potential, giving rise to spontaneous breakdown of isospin and Goldstone bosons.
		At zero chemical potential its "baryon," a two-quark state, is in the same multiplet as the pion and is a Goldstone boson in the chiral limit.
		It should exhibit spontaneous breakdown of isospin symmetry with a charged pion condensate and a true Goldstone boson.
	www.nersc.gov /news/annual_reports/annrep00/sh_HENP_09.html (652 words)

	Local Latent Symmetry: Higgs Mechanism (Site not responding. Last check: 2007-10-11)
		When changing a latent global symmetry into a (gauge) local one, the Goldstone boson (or bosons disappear) from the theory and the corresponding gauge fields acquire mass: this is the Higgs mechanism.
		From a more formal point of view, it happens that the degrees of freedom of the Goldstone bosons are transferred to the longitudinal polarizations of the gauge bosons which are essential after acquiring mass.
		This exchange of degrees of freedom, implied by the Higgs mechanism, does not mean a violation of the Goldstone theorem because it cannot be strictly applied when there are long range forces as the ones due to a gauge field.
	fisica.usac.edu.gt /public/curccaf_proc/garcia/node25.html (487 words)

	Nonlocal Models of Goldstone Bosons in Asymptotically Free... (via CobWeb/3.1 planetlab2.tamu.edu) (Site not responding. Last check: 2007-10-11)
		We develop a simple model Lagrangian which couples the pseudo-Goldstone bosons of QCD (pions, kaons, and the eta) to up, down, and strange quark fields.
		Sigma(p) is an order parameter for spontaneous chiral symmetry breaking, and the Goldstone bosons are included as fluctuations of this order parameter in a manner consistent with global chiral symmetry.
		No kinetic energy terms or self-interactions for the Goldstone bosons are introduced, instead these arise dynamically.
	particle.physics.ucdavis.edu.cob-web.org:8888 /archive/abstracts/SSB/ThesisAbstract.html (248 words)

	Symmetry and Symmetry Breaking (Stanford Encyclopedia of Philosophy)
		In the case of a global continuous symmetry, massless bosons (known as “Goldstone bosons”) appear with the spontaneous breakdown of the symmetry according to a theorem first stated by J. Goldstone in 1960.
		The Goldstone bosons are “eaten up” to give mass to the gauge bosons, and this happens without (explicitly) breaking the gauge invariance of the theory.
		In such theories as the unified model of electroweak interactions, the SSB responsible (via the Higgs mechanism) for the masses of the gauge vector bosons is because of the symmetry-violating vacuum expectation values of scalar fields (the so-called Higgs fields) introduced ad hoc in the theory.
	plato.stanford.edu /entries/symmetry-breaking (9815 words)

	Re: Sgoldstino (via CobWeb/3.1 planetlab2.tamu.edu) (Site not responding. Last check: 2007-10-11)
		Short answer, it means that the goldstone boson turns into the mass of the gauge boson when you turn a spontaneously broken global symmetry into a local one.
		It turns out that that spare degree of freedom you had (one spin-0 particle) is secretly the longitudinal polarization of the gauge bosons you thought were massless.
		Because they have fattened up, people like to say that the goldstone bosons are eaten by the gauge bosons.
	www.lns.cornell.edu.cob-web.org:8888 /spr/2001-07/msg0034012.html (336 words)

	Urgent question on spontaneous symmetry breaking
		The two lost degrees of freedom become Goldstone bosons, which then can give mass to two of the gauge bosons.
		The three lost degrees of freedom become Goldstone bosons, which then give mass to the three gauge fields.
		Still you have three real Goldstone bosons (one massive boson), three massive gauge particles and one massless gauge particle (an EM gauge potential).
	www.physicsforums.com /showthread.php?p=889639#post889639 (1517 words)

	[No title] (Site not responding. Last check: 2007-10-11)
		In particular the ground state situation is interesting, because it yields a non-trivial quantum mechanical canonical pair of conjugate operators, giving an explicit representation of the field variables of the socalled Goldstone boson.
		Furthermore, for both models, we prove that the canonical pair of Goldstone fluctuation modes separates dynamically from the other variables of the system and behaves like harmonic oscillator modes with a frequency proportional to the condensate density, i.e.
		\eeq \subsection{Dynamics of the collective Goldstone modes}\label{dynamics-2} We will now show that also for the weakly interacting Bose gas the fluctuations of the generator and of the order parameter of the SSB decouple dynamically from the other degrees of freedom of the system, and form a harmonic oscillator system.
	www.ma.utexas.edu /mp_arc/html/papers/99-18 (6162 words)

	Some Experimental Implications of Chiral Symmetry and Goldstone's Theorem (Site not responding. Last check: 2007-10-11)
		Since QCD cannot be solved exactly at a confinement scale energies all of the rich phenomenology of low energy physics cannot be predicted at the present time.
		It is argued that there is a class of phenomena which are calcuable and therefore should be pursued experimentally in a vigorous manner.
		The consequences are the existence of massless, pseudoscalar, Goldstone Bosons whose interactions with other hadrons vanish at zero momenta.
	flux.aps.org /meetings/YR97/BAPSAPR97/abs/S1120002.html (188 words)

	goldstone - OneLook Dictionary Search
		goldstone : The American Heritage® Dictionary of the English Language [home, info]
		Goldstone, goldstone : LookWAYup Translating Dictionary/Thesaurus [home, info]
		Phrases that include goldstone: goldstone boson, goldstone bosons, goldstone complex, goldstone deep space network, goldstone ground, more...
	www.onelook.com /?w=goldstone (148 words)

	Goldstone Bosons in the Appelquist-Terning ETC Model (ResearchIndex)
		Goldstone Bosons in the Appelquist-Terning ETC Model (ResearchIndex)
		Abstract: It is demonstrated that the extended technicolor model proposed recently by Appelquist and Terning has pair of potentially light U(1) Goldstone bosons coupling to ordinary matter with strength 2mf Fß, where m f is the mass of the fermion and F ß ß 125 GeV.
		These Goldstone bosons could get a mass if the spontaneously broken U(1) symmetries are also explicitly broken, by physics beyond that specified in the model.
	citeseer.ist.psu.edu /80497.html (236 words)

	Term Essays for Emergent States of Matter - UIUC 498 ESM
		Abstract: The concept of Goldstone bosons that arises as consequence of the breaking of continuous symmetry was born in the high energy physics and found interesting applications in other fields of physics such as solid state.
		Bosonization will be used to expand the Fermi fields in terms of boson operators, allowing almost all physical properties to be calculated.
		Abstract: The Fractional Quantum Hall effect is reviewed from the perspective of Chern-Simons field theory.The interacting 2D electron gas in magnetic field problem is exactly mapped to a bosonic problem in which the bosons couple to a new gauge field in addition to the electromagnetic field.
	guava.physics.uiuc.edu /~nigel/courses/569/Essays_2002/498esm_2002.html (2477 words)

	Topics: Symmetry Breaking (Site not responding. Last check: 2007-10-11)
		G/H gives rise to a collective boson excitation, a (Nambu-)Goldstone mode described by a field with values in G/H, or a massless particle called a Goldstone boson.
		Conditions: A spontaneous symm breaking gives rise to Goldstone bosons only in the case of a global symm breaking; in the gauge symm case the degenerate directions are gauge and don't correspond to physical modes.
		@ Goldstone NC(61); Goldstone, Salam and Weinberg PR(62); Burgess ht/98-ln [primer], PRP(00)ht/98 [nuclear, particle and cm phys]; Chodos and Gallatin JMP(01)mp/00.
	www.phy.olemiss.edu /~luca/Topics/phys/symm_breaking.html (642 words)

	Informat.io on Nambu Goldstone Boson
		In certain supersymmetric models, "Goldstone fermions," or "Goldstinos" also appear.
		(Spontaneously broken global fermionic symmetries (see supersymmetry) lead to Goldstone fermions.)
		The field can be redefined to give a real scalar, θ, without a constraint by using
	www.informat.io /?title=nambu-goldstone-boson (456 words)

	► » Axion (Site not responding. Last check: 2007-10-11)
		Normally, Goldstone bosons are massless, so can you explain how the
		The axion arises as the (pseudo)Nambu-Goldstone boson for the
		to as "the gauge boson eating the goldstone boson and becoming
	www.physics-talk.com /Axion-5124909.html (528 words)

	Vitiello's Quantum Brain
		I precognitively remote-viewed the importance of Yang-Mills ideas and the Goldstone theorem back in the late 60's when I was an assistant professor at San Diego State.
		the vacuum is an ordered state and collective modes (called Nambu-Goldstone bosons) propagating over the whole system are dynamically generated and are the carriers of the ordering information (long-range correlations)...
		the value of the order parameter is related to the density of condensed Goldstone bosons in the vacuum...
	www.qedcorp.com /pcr/pcr/vitiello.html (1965 words)

	SU(3) Cosmic Inflation Emergent Gravity? (Site not responding. Last check: 2007-10-11)
		Symmetries and the Masses of Gauge Bosons" that changed theoretical
		There are six massive bosons corresponding to the 6 curled up Calabi-Yau
		They are "two massive scalar bosons" of Y = 0,
	www.groupsrv.com /science/about179064.html (1538 words)

	Properties of cosmologies with dynamical pseudo Nambu-Goldstone bosons (Site not responding. Last check: 2007-10-11)
		Properties of cosmologies with dynamical pseudo Nambu-Goldstone bosons
		We study observational constraints on cosmological models with a quintessence field in the form of a dynamical pseudo Nambu-Goldstone boson.
		After reviewing the properties of the solutions, from a dynamical systems phase space analysis, we consider the constraints on parameter values imposed by luminosity distances from the 60 Type Ia supernovae published by Perlmutter et al., and also from gravitational lensing statistics of distant quasars.
	www.physics.adelaide.edu.au /mathphysics/abstracts/ADP-00-12-M91.html (207 words)

	Goldstone boson
		Is a Goldstone boson the same thing that a Nambu-Goldstone boson?
		Curious fact: a majoron is a kind of Goldstone Boson
		A majoron is a goldstone boson by construction since it comes from the spontaneous breaking of a symmmetry (as any goldstone boson).
	www.physicsforums.com /showthread.php?t=11654 (185 words)

	[hep-th/0610277] Massless and Massive Vector Goldstone Bosons in Nonlinear Quantum Electrodynamics (via CobWeb/3.1 ... (Site not responding. Last check: 2007-10-11)
		Massless and Massive Vector Goldstone Bosons in Nonlinear Quantum Electrodynamics
		We show that such a SLIV pattern induces the genuine vector Goldstone boson which appears massless when the U(1) symmetry is exact and becomes massive in its broken phase.
		However, for both of phases an apparent Lorentz violation is completely canceled out in all the observable processes so that the physical Lorentz invariance in theory is ultimately restored.
	arxiv.org.cob-web.org:8888 /abs/hep-th/0610277 (175 words)

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