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Title: Center Flux Correlation in SU(2) Yang-Mills Theory

Abstract

By using the method of center projection, the center vortex part of the gauge field is isolated and its propagator is evaluated in the center Landau gauge, which minimizes the open 3-dimensional Dirac volumes of nontrivial center links bounded by the closed 2-dimensional center vortex surfaces. The center field propagator is found to dominate the gluon propagator (in the Landau gauge) in the low momentum regime and to give rise to a power-law correction {proportional_to}p{sup -2.9(1)} at high momentum. The screening mass of the center vortex field vanishes above the critical temperature of the deconfinement phase transition, which naturally explains the second order nature of this transition consistent with the vortex picture. Finally, the ghost propagator of the maximal center gauge is found to be infrared finite and, thus, shows that the coset fields play no role for confinement.

Authors:
; ;  [1]
  1. Institut fuer Theoretische Physik, Auf der Morgenstelle 14, D-72076 Tuebingen (Germany)
Publication Date:
OSTI Identifier:
20699600
Resource Type:
Journal Article
Resource Relation:
Journal Name: Physical Review Letters; Journal Volume: 95; Journal Issue: 22; Other Information: DOI: 10.1103/PhysRevLett.95.221601; (c) 2005 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; CORRECTIONS; CORRELATIONS; CRITICAL TEMPERATURE; GLUONS; PHASE TRANSFORMATIONS; PROPAGATOR; QUANTUM CHROMODYNAMICS; SU-2 GROUPS; THREE-DIMENSIONAL CALCULATIONS; TWO-DIMENSIONAL CALCULATIONS; VORTICES; YANG-MILLS THEORY

Citation Formats

Langfeld, K., Schulze, G., and Reinhardt, H. Center Flux Correlation in SU(2) Yang-Mills Theory. United States: N. p., 2005. Web. doi:10.1103/PhysRevLett.95.221601.
Langfeld, K., Schulze, G., & Reinhardt, H. Center Flux Correlation in SU(2) Yang-Mills Theory. United States. doi:10.1103/PhysRevLett.95.221601.
Langfeld, K., Schulze, G., and Reinhardt, H. Fri . "Center Flux Correlation in SU(2) Yang-Mills Theory". United States. doi:10.1103/PhysRevLett.95.221601.
@article{osti_20699600,
title = {Center Flux Correlation in SU(2) Yang-Mills Theory},
author = {Langfeld, K. and Schulze, G. and Reinhardt, H.},
abstractNote = {By using the method of center projection, the center vortex part of the gauge field is isolated and its propagator is evaluated in the center Landau gauge, which minimizes the open 3-dimensional Dirac volumes of nontrivial center links bounded by the closed 2-dimensional center vortex surfaces. The center field propagator is found to dominate the gluon propagator (in the Landau gauge) in the low momentum regime and to give rise to a power-law correction {proportional_to}p{sup -2.9(1)} at high momentum. The screening mass of the center vortex field vanishes above the critical temperature of the deconfinement phase transition, which naturally explains the second order nature of this transition consistent with the vortex picture. Finally, the ghost propagator of the maximal center gauge is found to be infrared finite and, thus, shows that the coset fields play no role for confinement.},
doi = {10.1103/PhysRevLett.95.221601},
journal = {Physical Review Letters},
number = 22,
volume = 95,
place = {United States},
year = {Fri Nov 25 00:00:00 EST 2005},
month = {Fri Nov 25 00:00:00 EST 2005}
}
  • We construct and study a dimensionally reduced effective theory for high-temperature SU(2) Yang-Mills theory that respects all the symmetries of the underlying theory. Our main motivation is to study whether the correct treatment of the center symmetry can help extend the applicability of the dimensional reduction procedure towards the confinement transition. After performing perturbative matching to the full theory at asymptotically high temperatures, we map the phase diagram of the effective theory using nonperturbative lattice simulations. We find that at lower temperature the theory undergoes a second-order confining phase transition, in complete analogy with the full theory, which is amore » direct consequence of having incorporated the center symmetry.« less
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  • The baryonic potential in the framework of the SU(3) random vortex world-surface model is evaluated for a variety of static color source geometries. For comparison, carefully taking into consideration the string tension anisotropy engendered by the hypercubic lattice description, also the {delta} and Y law predictions for the baryonic potential are given. Only the Y law predictions are consistent with the baryonic potentials measured.
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  • A random vortex world-surface model for the infrared sector of SU(4) Yang-Mills theory is constructed, focusing on the confinement properties and the behavior at the deconfinement phase transition. Although the corresponding data from lattice Yang-Mills theory can be reproduced, the model requires a more complex action and considerably more tuning than the SU(2) and SU(3) cases studied previously. Its predictive capabilities are accordingly reduced. This behavior has a definite physical origin, which is elucidated in detail in the present work. As the number of colors is raised in Yang-Mills theory, the corresponding infrared effective vortex description cannot indefinitely continue tomore » rely on dynamics determined purely by vortex world-surface characteristics; additional color structures present on the vortices begin to play a role. As evidenced by the modeling effort reported here, definite signatures of this behavior appear in the case of four colors.« less