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Topic: Lattice gauge theory

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	Lattice gauge theory - Wikipedia, the free encyclopedia
		Lattice gauge theory is a method to deal with gauge theory that is useful for computer-assisted calculations.
		In lattice gauge theory, the spacetime is Wick rotated into Euclidean space, discretized and replaced by a lattice with lattice spacing equal to a.
		Lattice gauge theory has been shown to be exactly dual to spin foam models provided that the only Wilson loops appearing in the action are over plaquettes.
	en.wikipedia.org /wiki/Lattice_gauge_theory (659 words)

	Lattice gauge theory -- Facts, Info, and Encyclopedia article (Site not responding. Last check: 2007-10-29)
		Lattice gauge theory is a method to deal with (additional info and facts about gauge theory) gauge theory that is useful for computer-assisted calculations.
		Random configurations (values of the gauge fields) are generated with (additional info and facts about probabilities) probabilities proportional to, where is the lattice action for that configuration and is related to the lattice spacing.
		Lattice gauge theory is a particularly important tool for (A theory of strong interactions between elementary particles (including the interaction that binds protons and neutrons in the nucleus); it assumes that strongly interacting particles (hadrons) are made of quarks and that gluons bind the quarks together) quantum chromodynamics (QCD).
	www.absoluteastronomy.com /encyclopedia/l/la/lattice_gauge_theory.htm (554 words)

	Encyclopedia: Lattice gauge theory
		Gauge theories are a class of physical theories based on the idea that symmetry transformations can be performed locally as well as globally.
		In gauge theory, a Wilson loop is a gauge-invariant observable obtained from the holonomy of the gauge connection around a given loop.
		Lattice Quantum Chromodynamics (Lattice QCD) is the theory of quarks and gluons formulated on a space-time lattice.
	www.nationmaster.com /encyclopedia/Lattice-gauge-theory (1732 words)

	Gauge theory -- Britannica Student Encyclopedia
		In a gauge theory there is a group of transformations of the field variables (gauge transformations) that leaves the basic physics of the quantum field...
		The theory arises from the attempt to combine the principles of quantum mechanics with those of relativity in an effort to describe processes such as high-energy collisions in which particles may be created or destroyed.
		While electroweak theory allows extremely precise calculations to be made, problems arise with the theory of the strong force, quantum chromodynamics, despite its similar structure as a gauge theory.
	www.britannica.com /ebi/article-9324361?tocId=9324361 (826 words)

	The Lattice Web (Site not responding. Last check: 2007-10-29)
		Lattice Quantum ChromoDynamics is a challenging computational field employing large scale numerical calculations to extract predictions of the Standard Model of nuclear physics, Quantum ChromoDynamics.
		Lattice Hadron Physics Collaboration, a part of USQCD collaboration with a focus on hadron structure.
		The NERSC Gauge Connection, a data repository for LQCD.
	www.lqcd.org (192 words)

	theoretical_research (Site not responding. Last check: 2007-10-29)
		The theory group has particular strengths in the areas of string theory, quantum field theory, particle and nuclear theory, lattice gauge theory, condensed matter theory, and astrophysics and cosmology.
		Lattice gauge theory is one such field, and Columbia is home to one of the most powerful parallel processors for lattice gauge computations in the world.
		The Columbia condensed matter theory group investigates many aspects of the physics of matter, from the possibility of novel electronic states in new materials or near quantum critical points to the applied physics of spins in semiconductors and heterostructures.
	columbia-physics.net /research/theoretical_research.htm (1181 words)

	CPC Licence Alert (Site not responding. Last check: 2007-10-29)
		Gauge theories on a lattice were originally proposed by Wilson and Polyakov.
		This paper is largely based on the method adopted by Creutz for the Monte Carlo study of SU(2) gauge theory.
		The storage required is dependent on the number N of dimensions and the number L of lattice sites along each dimension.
	www.cpc.cs.qub.ac.uk /summaries/AAQY.html (248 words)

	Center vortex model of confinement
		gauge theory vortices labeled by the center of the group may exist.
		In center gauge gauge fields are completely fixed, except for the center of the gauge group.
		gauge theory is nothing else but a theory of vortices.
	www.physics.uc.edu /suranyi/conf-lectures/node23.html (987 words)

	Re: Lattice Gauge Theory
		The 3D Ising LGT with gauge group Z_2 is definitely not, since it is dual to the 3D Ising model which does have a phase transition.
		Kogut: "The lattice gauge theory approach to quantum chromodynamics" Rev.
		Polykov wrote two papers in 1979-1980 about a formulation of gauge theory as a non-linear sigma model in loop space, and in 1981, he came up with the Polyakov action of string theory.
	www.lns.cornell.edu /spr/2003-08/msg0052902.html (568 words)

	Busstepp 2002 Lattice Field Theory
		Lattice Simulations and Effective Theories (C Sachrajda, Adv School on Eff Theories, Almunecar, Spain, 1995, hep-lat/9605027): introduction to the lattice formulation of quantum field theory, with applications to phenomenology (mostly b physics).
		Lattice Gauge Theory - A Short Primer (G Munster and M Walzl, ZUOZ 2000): introduction to the foundations and methods of lattice gauge theory (starting from the quantum mechanical path integral and moving on through functional integrals, Euclidean field theory and discretisation).
		Lattice QCD (C Davies): Lectures from the 2001 Scottish Universities' Summer School concentrating on applications to heavy quark physics (the topic of that school).
	www.hep.phys.soton.ac.uk /~jflynn/busstepp (565 words)

	Abelian gauge fixing and confinement on lattice
		After gauge fixing one is free to project the gauge fields to their abelian components.
		The crucial test of the validity of the assumption that abelian projected theories are equivalent to the original theories was to measure physical quantities in this abelian gauge theory.
		Though it is possible to define monopoles on the lattice by an indirect method and measure their density the direct connection between monopole condensation and gauge fixing is lost.
	www.physics.uc.edu /suranyi/conf-lectures/node22.html (768 words)

	CPC Licence Alert (Site not responding. Last check: 2007-10-29)
		Manuscript Title: Vectorizing the Monte Carlo algorithm for lattice gauge theory calculations on the CDC CYBER 205.
		Gauge theories on a lattice were originally proposed by Wilson and Polyakov for the regulation of the divergences of quantum field theory.
		The storage required is dependent on the number n of dimensionsand the number l of lattice sites along each dimension.
	www.cpc.cs.qub.ac.uk /summaries/AARH.html (255 words)

	Abstract for David Richards (Site not responding. Last check: 2007-10-29)
		Lattice gauge theory allows ab initio computations of QCD in the non-perturbative regime.
		In this talk, I describe recent applications of lattice QCD to the study of hadronic physics, and in particular to the physics of the 6 GeV and 12 GeV programs at Jefferson Laboratory.
		I will begin with a brief introduction to the formulation of gauge theories on the lattice, and discuss some of the computational challenges.
	www.phy.anl.gov /theory/semabstracts03/richards.html (159 words)

	MaPhySto Publication: MPS-RR 1999-44 (Site not responding. Last check: 2007-10-29)
		We describe a unitary matrix model which is constructed from discrete analogs of the usual projective modules over the noncommutative torus and use it to construct a lattice version of noncommutative gauge theory.
		The model is a discretization of the noncommutative gauge theories that arise from toroidal compactification of Matrix theory and it includes a recent proposal for a non-perturbative definition of noncommutative Yang-Mills theory in terms of twisted reduced models.
		The model is interpreted as a manifestly star-gauge invariant lattice formulation of noncommutative gauge theory, which reduces to ordinary Wilson lattice gauge theory for particular choices of parameters.
	www.maphysto.dk /cgi-bin/w3-msql/publications/genericpublication.html?publ=172 (147 words)

	Physics Today February 2004 - Article: Family Lines Sketched in the Portrait of Lev Landau
		Wilson argued that, on a coarse spacetime lattice, the potential energy of separation of a quark and an antiquark must rise linearly with distance.
		Because of its close relationship to statistical thermodynamics, lattice QCD in its current formulation is unsuited for simulating real-time processes such as multiparticle scattering and the nonequilibrium behavior of the QGP.
		In current large-scale lattice simulations, it is feasible to take the u and d masses as low as three times their physical values.
	physicstoday.org /vol-57/iss-2/p53.html (3215 words)

	Citebase - Quantum Deformation of Lattice Gauge Theory
		Authors: Boulatov, D. A quantum deformation of 3-dimensional lattice gauge theory is defined by applying the Reshetikhin-Turaev functor to a Heegaard diagram associated to a given cell complex.
		Lattice Gauge Theory in 4-dimensional Euclidean space-time is generalized to ribbon categories which replace the category of representations of the gauge group.
		This provides a framework in which the gauge group becomes a quantum group while space-time is still given by the `classical' lattice.
	citebase.eprints.org /cgi-bin/citations?id=oai:arXiv.org:hep-th/9604117 (826 words)

	[No title]
		In contrast, for the standard versions of the liquid crystal and lattice gauge models, as well as for very non-linear ferromagnetic $\sigma$-models, both numerics and high temperature series suggested the existence of 1st order transitions, despite some theoretical and numerical analyses originally either suggesting 2nd order transitions, no transitions at all, or Kosterlitz-Thouless type transitions.
		The wide occurrence of first-order transitions in liquid-crystal and lattice gauge models indicates that a proof in these type of models may be of even more direct physical relevance than in the case of ferromagnets.
		For lattice gauge models on the other hand, also the standard (p=1) actions lead to first-order transitions in mean-field theory (\cite{Zin}, section 34.4), which indicates a first-order transition in sufficiently high dimension.
	www.ma.utexas.edu /mp_arc/papers/04-121 (4645 words)

	Duke Nuclear/Particle Theory Seminar - aka DNPT Seminar (Site not responding. Last check: 2007-10-29)
		A continuum limit result is described which shows that the index bundle of the lattice Dirac operator over the orbit space of lattice gauge fields is capturing certain topological features of the continuum Dirac index bundle.
		Consequently, the obstructions to vanishing of gauge anomalies in the lattice theory reduce to the continuum ones in the classical continuum limit.
		Certain obstructions to the existence of such gauge fixings in the continuum are shown to vanish in the lattice setting.
	www.phy.duke.edu /research/NPTheory/QCD/spring02.html (1618 words)

	The MILC Code (version: 6.20sep02)
		Lattices are supposed to be generated by someone else.
		This requires that the lattice volume be divisible by the number of nodes, which is a (power of three)*(power of two).
		This requires that the lattice volume be divisible by the number of nodes, which is a power of two.
	www.physics.utah.edu /~detar/milc/milcv6.html (7752 words)

	Lattice gauge theory (Site not responding. Last check: 2007-10-29)
		Lattice gauge theory is a method to deal with gaugetheory that is useful for computer-assisted calculations.
		In lattice gauge theory, the spacetime is discretized and replacedby a lattice with lattice spacing equal to a.
		The fields are only defined at the elements of the lattice, and the Yang-Mills action is rewritten in such a way that the limit
	www.therfcc.org /lattice-gauge-theory-26063.html (96 words)

	4.3.3 QCD (Site not responding. Last check: 2007-10-29)
		QCD is an example of a ``gauge theory.'' These are quantum field theories that have a local symmetry described by a symmetry (or gauge) group.
		In order to solve QCD at longer distances, Wilson [Wilson:74a] introduced lattice gauge theory, in which the space-time continuum is discretized and a discrete version of the gauge theory is derived which keeps the gauge symmetry intact.
		This discretization onto a lattice, which is typically hypercubic, gives a nonperturbative approximation to the theory that is successively improvable by increasing the lattice size and decreasing the lattice spacing, and provides a simple and natural way of regulating the divergences which plague perturbative approximations.
	www.netlib.org /utk/lsi/pcwLSI/text/node36.html (345 words)

	TOBIAS-lib - Quark properties, topology and confinement from Lattice Gauge Theory
		The influence of the gauge condition on this procedure is tested by implementation of the ideal gauge condition (ICG) as a comparison.
		It is shown that a vortex-only theory is confining, whereas the corresponding vortex-removed theory is non-confining, i.e.
		The string tension of the vortex-only theory is found to be roughly 62% of the full SU(3) string tension for MCG vortices and 58% for ICG vortices.
	w210.ub.uni-tuebingen.de /dbt/volltexte/2004/1448 (765 words)

	Ausschreibung (Site not responding. Last check: 2007-10-29)
		The main interests of the NIC research group are in the non-perturbative aspects of quantum field theories, mainly Quantum-Chromodynamics on the lattice.
		The research group collaborates closely with the APE group at Zeuthen, the theory group at DESY-Zeuthen and the lattice gauge theory groups at the universities in Berlin.
		The applicant should have a background in quantum field theory and experience in lattice gauge theory, ideally also with numerical simulations.
	www.ifh.de /main/html/aktuelles/job40.html (295 words)

	Skein Modules And Lattice Gauge Field Theory (ResearchIndex)
		We construct lattice gauge field theory based on a quantum group on a lattice of dimension 1.
		Innovations include, a coalgebra structure on the connections, and an investigation of connections that are not distinguishable by observables.
		We prove that when the quantum group is a deformation of a connected algebraic group (over the complex numbers), then the algebra of observables forms a deformation quantization of the ring of characters of the fundamental group of the lattice with respect to...
	citeseer.ist.psu.edu /219508.html (371 words)

	Lattice Gauge Theory
		The aim of the course is to describe non-perturbative approaches to non-Abelian gauge theories.
		The lattice provides a cutoff for field theory which permits many manipulations beyond the reach of Feynman-diagram perturbation theory.
		After introducing the lattice formulation of QCD, we will develop techniques by using simpler field theories as laboratories: the Ising model, the XY (or planar Heisenberg) model, the Ising gauge theory (due to Wegner), the Abelian gauge theory (related to QED).
	julian.tau.ac.il /~bqs/lgt.html (281 words)

	[No title]
		However, a further investigation on the validity of the ansatz has not been published so far, and from a mathematical view point, a proof that Wilson's formalism for lattice fermion is a correct scheme giving the expected anomaly, has not been completed.
		In the present paper, we study Wilson's formalism for a Euclidean lattice fermion coupled to a smooth external $U(1)$ gauge field defined on an even dimensional torus and derive the expected chiral anomaly in the continuum limit with mathematical rigor.
		It may be suggestive to note that remainder estimates based on {\it positivity} is used in the convergence proof of cluster expansions in constructive field theory.
	www.ma.utexas.edu /mp_arc/papers/97-444 (3669 words)

	An Introduction to the University of Illinois High Energy Physics Group
		The theoretical group is involved in lattice studies of QCD, electroweak symmetry breaking and top quark physics, as well as formal studies of supersymmetric gauge theories, duality and string theory.
		Studies of the nature of the trilinear gauge couplings of the W and Z bosons are also in progress.
		New methods for dealing with fermions in lattice gauge theories have been developed by this group and are now being extensively exploited to study chiral symmetry restoration and quark deconfinement at finite temperatures.
	www.hep.uiuc.edu /home/g-gollin/cheesecake_hep.html (1041 words)

	Tony Phillips Vita
		Lattice gauge fields, principal bundles and the calculation of topological charge (with D. Stone), Commun.
		Lattice gauge fields and Chern-Weil theory (with D. Stone), in Proceedings, (1985) Georgia Topology Conference, C. McCrory and T. Shifrin, eds.
		Lattice gauge fields and topology (with D. Stone) in Lattice Gauge Theory '86, H. Satz, I. Harrity and J. Potvin, eds., Plenum, New York, (1987).
	www.math.sunysb.edu /~tony/vita/vitalonga.html (439 words)

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