Results 1 - 10 of 894

Modified Lattice Landau Gauge

by Lorenz von Smekal, Dhagash Mehta, André Sternbeck, Anthony G. Williams , 2007
"... We propose a modified lattice Landau gauge based on stereographically projecting the link variables on the circle S 1 → R for compact U(1) or the 3-sphere S³ → R³ for SU(2) before imposing the Landau gauge condition. This can reduce the number of Gribov copies exponentially and solves the Gribov pro ..."
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We propose a modified lattice Landau gauge based on stereographically projecting the link variables on the circle S 1 → R for compact U(1) or the 3-sphere S³ → R³ for SU(2) before imposing the Landau gauge condition. This can reduce the number of Gribov copies exponentially and solves the Gribov

Landau Gauge Fixing on GPUs

by Nuno Cardosoa, Paulo J. Silvab, Pedro Bicudoa, O Oliveirab
"... In this paper we present and explore the performance of Landau gauge fixing in GPUs using CUDA. We consider the steepest descent algorithm with Fourier acceleration, and compare the GPU performance with a parallel CPU implementation. Using 324 lattice volumes, we find that the computational power of ..."
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In this paper we present and explore the performance of Landau gauge fixing in GPUs using CUDA. We consider the steepest descent algorithm with Fourier acceleration, and compare the GPU performance with a parallel CPU implementation. Using 324 lattice volumes, we find that the computational power

The Relationship of the Laplacian Gauge to the Landau Gauge

by Jeffrey E. Mandula , 2001
"... The Laplacian gauge for gauge group SU(N) is discussed in perturbation theory. It is shown that 1 to the lowest non-trivial order, 2(g), configurations in the Laplacian gauge automatically satisfy the (finite difference) Landau gauge condition. Laplacian gauge fixed configurations are examined 2 num ..."
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The Laplacian gauge for gauge group SU(N) is discussed in perturbation theory. It is shown that 1 to the lowest non-trivial order, 2(g), configurations in the Laplacian gauge automatically satisfy the (finite difference) Landau gauge condition. Laplacian gauge fixed configurations are examined 2

Discretisation Errors in Landau Gauge on the Lattice

by Frederic D. R. Bonnet, Patrick O. Bowman, Derek B. Leinweber, Anthony G. Williams, David G. Richards , 1999
"... Lattice discretisation errors in the Landau gauge condition are examined. An improved gauge fixing algorithm in which O(a 2) errors are removed is presented. It is shown that O(a 2) errors dominate standard gauge fixing procedures and an absolute estimate of the deviation from continuum Landau gauge ..."
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Lattice discretisation errors in the Landau gauge condition are examined. An improved gauge fixing algorithm in which O(a 2) errors are removed is presented. It is shown that O(a 2) errors dominate standard gauge fixing procedures and an absolute estimate of the deviation from continuum Landau

Landau gauge gluodynamics

by Jinr Dubna
"... On the gluon propagator and Gribov noise in the ..."
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On the gluon propagator and Gribov noise in the

Landau gauge Jacobian and BRST symmetry

by M. Ghiotti A, A. C. Kalloniatis A, A. G. Williams A , 2005
"... We propose a generalisation of the Faddeev-Popov trick for Yang-Mills fields in the Landau gauge. The gauge-fixing is achieved as a genuine change of variables. In particular the Jacobian that appears is the modulus of the standard Faddeev-Popov determinant. We give a path integral representation of ..."
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We propose a generalisation of the Faddeev-Popov trick for Yang-Mills fields in the Landau gauge. The gauge-fixing is achieved as a genuine change of variables. In particular the Jacobian that appears is the modulus of the standard Faddeev-Popov determinant. We give a path integral representation

Signatures of confinement in Landau gauge QCD

by J. M. Pawlowski, D. F. Litim, S. Nedelko, L. Von Smekal, Γ Γk , 2004
"... Abstract. We summarise an analysis of the infrared regime of Landau gauge QCD by means of a flow equation approach [1]. The infrared behaviour of gluon and ghost propagators is evaluated. The results provide further evidence for the Kugo-Ojima confinement scenario. We also discuss their relation to ..."
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Abstract. We summarise an analysis of the infrared regime of Landau gauge QCD by means of a flow equation approach [1]. The infrared behaviour of gluon and ghost propagators is evaluated. The results provide further evidence for the Kugo-Ojima confinement scenario. We also discuss their relation

COLOR CONFINEMENT IN LATTICE LANDAU GAUGE

by Hideo Nakajima, Sadataka Furui , 2003
"... The problem of color confinement in lattice Landau gauge QCD is briefly reviewed in the light of Kugo-Ojima criterion and Gribov-Zwanziger theory. The infrared properties of the Landau gauge QCD is studied by the measurement of the gluon propagator, ghost propagator, Kugo-Ojima parameter and the run ..."
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The problem of color confinement in lattice Landau gauge QCD is briefly reviewed in the light of Kugo-Ojima criterion and Gribov-Zwanziger theory. The infrared properties of the Landau gauge QCD is studied by the measurement of the gluon propagator, ghost propagator, Kugo-Ojima parameter

Can the Coulomb and Landau Gauges Be Interpolated?

by Gregory Harris, Emil Kazes , 1977
"... We have constructed the Hilbert space of free quantum electrodynamics in a gauge that formally interpolates the Coulomb and Landau gauges: 8 ' A,+ X8 ' Ao =0. The limit as A--+0 of the photon propagator in this gauge does not reproduce the propagator in the Coulomb gauge. We infer that the ..."
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We have constructed the Hilbert space of free quantum electrodynamics in a gauge that formally interpolates the Coulomb and Landau gauges: 8 ' A,+ X8 ' Ao =0. The limit as A--+0 of the photon propagator in this gauge does not reproduce the propagator in the Coulomb gauge. We infer

Landau Gauge within the Gribov Horizon

by Nicola Maggiore, Martin Schaden , 1993
"... We consider a model which effectively restricts the functional integral of Yang–Mills theories to the fundamental modular region. Using algebraic arguments, we prove that this theory has the same divergences as ordinary Yang Mills theory in the Landau gauge and that it is unitary. The restriction of ..."
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We consider a model which effectively restricts the functional integral of Yang–Mills theories to the fundamental modular region. Using algebraic arguments, we prove that this theory has the same divergences as ordinary Yang Mills theory in the Landau gauge and that it is unitary. The restriction
Results 1 - 10 of 894