Factbites
 Where results make sense
About us   |   Why use us?   |   Reviews   |   PR   |   Contact us  

Topic: Gauge potential


Related Topics

  
  Gauge theory - Wikipedia, the free encyclopedia
Gauge theories became even more attractive when it was realized that non-abelian gauge theories reproduced a feature called asymptotic freedom, that was believed to be an important characteristic of strong interactions—thereby motivating the search for a gauge theory of the strong force.
Gauge theories are usually discussed in the language of differential geometry.
Note that although gauge theory is dominated by the study of connections (primarily because it's mainly studied by high-energy physicists), the idea of a connection is not essential or central to gauge theory in general.
en.wikipedia.org /wiki/Gauge_theory   (2527 words)

  
 Dirac string - Wikipedia, the free encyclopedia
The gauge potential cannot be defined on the Dirac string, but it is defined everywhere else.
The cohomology arises from the idea of classifying all possible gauge field strengths F = dA, which are manifestly exact forms, modulo all possible gauge transformations, given that the field strength F must be a closed form: dF = 0.
Here, A is the vector potential and d represents the gauge-covariant derivative, and F the field strength or curvature form on the fiber bundle.
en.wikipedia.org /wiki/Dirac_string   (291 words)

  
 [No title]
Gauge freedom has two sides to it: we may choose a convenient gauge to simplify a proof, but if the result depends on the gauge, it may be insignificant from a physical point of view.
In the transversal gauge, the vector potential $\A$ is defined by \emph{(\ref{tg})}.
\end{cor} \subsection{The Coulomb Gauge} In the Coulomb gauge, the vector potential $\A$ is defined by \be \label{coco} \A(\x) := -\frac1{\omega_\nu}\, \int_{\R^\nu}\dfrac{\x-\y}{\x-\y^{\,\nu}} \,\times\,\B(\y)\,dy \ee with $\omega_2:=S^1=2\pi$ and $\omega_3:=S^2=4\pi$.
www.ma.utexas.edu /mp_arc/papers/05-242   (10211 words)

  
 Portable gauges; security requirements,
A portable gauge that is not under the control of a licensee poses a potential radiation hazard to individuals that may come in close contact with the source.
The primary intent of this rulemaking is to increase the control of portable gauges and thereby reduce the opportunity for and the number of unauthorized removals or thefts of portable gauges and, as a result, reduce the potential impact to public health and safety.
Although no portable gauge was reported stolen from VDOT over the past 8 years, NRC notes that in the Commonwealth of Virginia, one incident of a lost gauge and two incidents of stolen gauges were reported in 2003, and two incidents of stolen gauges were reported in 2004.
www.thefederalregister.com /d.p/2005-01-12-05-590   (8441 words)

  
 LPS Colloquia   (Site not responding. Last check: 2007-10-30)
Classically, a gauge potential was merely a convenient device for generating a corresponding gauge field.
Quantum-mechanically, a gauge potential lays claim to represent an independent aspect of its associated interaction.
I shall argue that in the theory of electromagnetism (or a non-Abelian generalization) that describes quantum particles subject to a classical interaction, the gauge potential is best understood as a global feature of the physical situation, represented by the holonomies of closed curves in space-time.
www.socsci.uci.edu /lps/home/colloquia/00-01/healy.html   (92 words)

  
 12 gauge 3-1/2 inch   (Site not responding. Last check: 2007-10-30)
The 20 gauge can be stretched toward the 12 gauge performance envelope by use of the 3" hull, but the performance level does equal that potential of the 12 gauge, especially as other factors, such as pellet size, relative to bore diameter, are considered.
Is the 3 1/2" 12 gauge a loser?
The 20 gauge is a crackerjack in the upland brush.
www.ballisticproducts.com /bpi/articles/312inch1/GA1235K1.html   (1553 words)

  
 A 4-Potential Representation of Newtonian Gravity
These potentials have a meaning similar to that of the retarded potentials of the Liénard-Wiechert [3] equations for charge, which in turn are the same as those of the potential representation of the Maxwell equations.
The gauge transformed potential does not decay with distance, but the potentials are not directly measurable, and the acceleration field decays approximately by the inverse square law in either gauge.
The potential at the field point must be taken as existing at the advanced time in performing the transformation.
www.s-4.com /retard/static   (725 words)

  
 Unifying Gravity and EM
Instead it is the average amount of change in the potential that I argue is about gravity, and the deviation from the average amount of change that is about EM by standard EM theory.
This sounds to me like you are counting the potential, and not either the average value of change in the potential or the deviation from the average amount of change in the potential.
It is not between the potential and the metric, it is the change in the potential and the change in metric (via a torsion-free connection which is metric compatible for the GR experts).
www.physicsforums.com /showthread.php?t=87097&page=6   (5866 words)

  
 Gauge Transformations
The canonical momentum p is gauge dependent and thus is not a true physical quantity.
The vector potential A is not zero outside the cylindrical region.
Assume the cylindrical region of radius R is inaccessible to a charged particle of mass m and charge e.
electron6.phys.utk.edu /qm2/modules/m5-6/gauge.htm   (891 words)

  
 Unifying Gravity and EM - Page 6
The GEM action is invariant under a gauge transformation for massless particles, where the trace of the irreducible tensor is zero.
Gauge symmetry is broken by the mass charge of particles.
is the gauge potential for the Yang-Mills gauge field.
www.physicsforums.com /showthread.php?t=87097&page=6   (3761 words)

  
 [No title]
In fact this is the most accessible example of a gauge theory for people who know just the elementary facts of nonrelativistic quantum mechanics.
Thus the fast motion induces in the dynamics of the slow motion not only a scalar potential $\varepsilon_n(X)$ as in the drastic approximation (7) but also a non-abelian vector potential ${\bf A}^{mn}({\bf X})$ and in place of the canonical momentum ${\bf P}$ of (7) one has the gauge-covariant momentum (28).
Due to the induced scalar potential, which is approximately a radial oscillator potential $\varepsilon(x)\approx{f\over2}(x-x_e)^2$, the radial motion of (31) is not free.
www.ma.utexas.edu /mp_arc/papers/91-43   (1718 words)

  
 Publications of Andreas Wipf   (Site not responding. Last check: 2007-10-30)
There is a Nahm transform for two-dimensional gauge fields which establishes a one-to-one correspondence between the orbit space of U(N) gauge fields with topological charge k defined on a torus and that of U(k) gauge fields with charge N on the dual torus.
For the gauged model we derive the partition functions and the explicit expression for the chiral condensate at finite temperature and curvature.
A Lagrangean, gauged WZNW implementation of the reduction is established in the general case and thereby the path integral as well as the BRST formalism are set up for studying the quantum version of the reduction.
www2.uni-jena.de /~p5anwi/publications/publications.html   (6208 words)

  
 Yang-Mills   (Site not responding. Last check: 2007-10-30)
In the case of the Yang-Mills equations the hypothesis of finite energy fails to prescribe a Hilbert space for the gauge potential A due to the invariance of A under the action of the gauge group.
Thus it is natural to ask whether classical solutions on D having singularities of dimension H are equivalent to classical solutions on all of D modulo a continuous gauge transformation.
If the gauge field F(A) lies in the space L^(n/2), where n is the dimension of D, it is easy to show from fundamental work of Uhlenbeck that a gauge transformation exists taking A to a potential which satisfies a diagonal elliptic system of field equations.
www.yu.edu /faculty/otway/Yang-Mills.htm   (730 words)

  
 Physics 230 Course Information
The interpretation of the Yang-Mills potential as a connection that determines parallel transport of color, and of the Yang-Mills field strength as the curvature that characterizes the path dependence of parallel transport.
Canonical quantization of gauge theories in the A_0=0 gauge.
The conserved topological current of the nonlinear sigma model, its interpretation as the dual of the pullback of the volume form on the two-sphere, and the associated gauge potential.
theory.caltech.edu /people/preskill/ph230   (1525 words)

  
 Pressure Gauge Case Styles for Industrial Applications   (Site not responding. Last check: 2007-10-30)
This type of gauge has a solid wall between the dial and the gauge mechanism.
The idea behind this design is that in the event of over-pressurization and failure of the Bourdon Tube, process fluid would be directed out the back of the gauge, reducing potential harm to operators.
Safety gauges are common in the chemical processing industry, since many of the fluids used in that industry are harmful to operators if they escape the system.
www.fluidproducts.com /case.htm   (268 words)

  
 PhilSci Archive - On the Reality of Gauge Potentials
Quantum-mechanically, a gauge potential lays claim to independent status as a further feature of the physical situation.
But whether this is a local or a global feature is not made any clearer by the variety of mathematical structures used to represent it.
I argue that in the theory of electromagnetism (or a non-Abelian generalization) that describes quantum particles subject to a classical interaction, the gauge potential is best understood as a feature of the physical situation whose global character is most naturally represented by the holonomies of closed curves in space-time.
philsci-archive.pitt.edu /documents/disk0/00/00/03/28/index.html   (157 words)

  
 Class minutes---week 12
imply that E and B are derivable from a scalar potential phi and a vector potential A:
D U = U D. The gauge transformation of D is cancelled by the derivative of U. The Schrodinger equation in tems of the gauge covariant derivatives is iD_t psi = -(1/2m) D_iD_i psi.
In particular, the gauge potential A must be matrix-valued.
www.glue.umd.edu /~tajac/622c/622minutes12.html   (2081 words)

  
 Lattice 2001 List of contributions
We investigate the phase structure of pure SU(2) lattice gauge theory at finite temperature in the mixed fundamental and adjoint representation modified with a Z(2) monopole chemical potential.
We estimate the quark mass dependence and the chemical potential response of the critical temperature by applying the reweighting method to the fermionic part of the Boltzmann factor.
While the potentials are well known at large distances, we give a detailed analysis of their short distance behaviour (from 0.015 fm to 1 fm) near the critical temperature.
www-zeuthen.desy.de /lattice2001/contrib-pub-list.html   (11873 words)

  
 4.4 Stationary Gauge Fields   (Site not responding. Last check: 2007-10-30)
A gauge field is called symmetric with respect to the action of a symmetry group S of M, if it is described by an S-invariant connection on P(M,G).
It implies that a gauge potential A is symmetric with respect to the action of a Killing field
A stationary gauge potential is parametrized in terms of a one-form
www.maths.tcd.ie /EMIS/journals/LRG/Articles/Volume1/1998-6heusler/node18.html   (653 words)

  
 Metric in gauge theories? - Advanced Physics Forums
Ryder explains it with an analogy with General Relativity and puts the Christoffel symbols in analogy to the gauge potential.
I was wondering why there is no analog to the metric in GR for gauge theories (or may be there is but Ryder does not write about it).
If you envision the geometry of gauge theory as a fibre bundle, then fibre's usually have a natural metric induced from its structure group.
www.advancedphysics.org /forum/showthread.php?p=18637   (405 words)

  
 The Coulomb potential in gauge theory with a dilaton (ResearchIndex)   (Site not responding. Last check: 2007-10-30)
The Coulomb potential in gauge theory with a dilaton (ResearchIndex)
The Coulomb potential in gauge theory with a dilaton
The solution depends on boundary conditions imposed on the dilaton: For a dilaton that vanishes at infinity the resulting potential is of the form (r + r OE) \Gamma1, with r OE inverse proportional to the decay constant of the dilaton.
citeseer.ist.psu.edu /220070.html   (297 words)

  
 Former Senate leader puts together presidential itinerary - Boston.com
Former Senate Democratic leader Tom Daschle will gauge potential support for a 2008 presidential bid with stops in Iowa, New Hampshire and Michigan next month.
Daschle, the three-term South Dakota senator who lost a re-election bid in 2004, said Wednesday that the trip is a logical progression as he weighs a White House run.
Iowa and New Hampshire are the traditional early voting states and numerous potential candidates have visited there in recent months.
www.boston.com /news/local/new_hampshire/articles/2006/05/17/former_senate_leader_puts_together_presidential_itinerary   (337 words)

  
 Gauge Capability Analysis in Data Collection for Acoustic Tomography   (Site not responding. Last check: 2007-10-30)
To help ensure that data collected for acoustic tomogram production were reliable, gauge potential studies were performed prior to data collection.
A gauge potential study is a short-term statistical study that examines the measurement system’s potential to be capable in the long term.
The case studies indicated that the system does have the potential to be capable in the long term.
www.pubs.asce.org /WWWdisplay.cgi?9901051   (190 words)

  
 New Universality Class in the Superconductive Phase Transition
is a gauge field in its own right, with the corresponding gauge transformations changing the string configuration [11].
The central point of the dual formulation of the Abelian Higgs model is to describe the fluxons by a field theory where the flux symmetry becomes an ordinary Noether symmetry with a current whose conservation follows upon invoking the field equations.
This situation differs sharply from that in the original formulation, where the coupling q to the electromagnetic gauge field is assumed to possess a perturbatively inaccessible IR fixed point away from the origin, see Fig.
www.physik.fu-berlin.de /~kleinert/kleiner_re247/alushta.html   (2203 words)

  
 Sports Potential Inc. - About the Sports Potential Assessment
The Sports Potential Assessment is a combination of customer focused testing, analysis and referral services.
The Sports Potential Assessment includes three Assessment modules, which will be analyzed together to create your Sports Potential Diagnostic and Results.
The answers you give to the ABC Evaluations in Module II provide Sports Potential with critical components based on your personality and preferences that are used in determining your sports match.
www.sportspotential.com /learn-more.shtml   (381 words)

  
 Induced gauge field concept
The components of the gauge potentials are obtained by projecting the spinor connection to the spacetime surface.
Correct electroweak charges are obtained for fermions and the components of induced spinor connection are identifiable as classical electroweak gauge potentials.
In the quantum field theory limit one can identify graviton and gauge boson fields as linear quantum deformations of the H-vielbein and spinor connection and the quantum fields on the spacetime surface are obtained by the induction from this field.
www.physics.helsinki.fi /~matpitka/induced.html   (879 words)

Try your search on: Qwika (all wikis)

Factbites
  About us   |   Why use us?   |   Reviews   |   Press   |   Contact us  
Copyright © 2005-2007 www.factbites.com Usage implies agreement with terms.