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Title: Center vortex model for the infrared sector of SU(4) Yang-Mills theory: String tensions and deconfinement transition

Abstract

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 to 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.

Authors:
 [1]
  1. Physics Department, New Mexico State University, Las Cruces, New Mexico 88003 (United States)
Publication Date:
OSTI Identifier:
20776657
Resource Type:
Journal Article
Journal Name:
Physical Review. D, Particles Fields
Additional Journal Information:
Journal Volume: 73; Journal Issue: 3; Other Information: DOI: 10.1103/PhysRevD.73.034015; (c) 2006 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 0556-2821
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; BAG MODEL; COLOR MODEL; COMPUTERIZED SIMULATION; LATTICE FIELD THEORY; PHASE TRANSFORMATIONS; RANDOMNESS; SU-2 GROUPS; SU-3 GROUPS; SU-4 GROUPS; VORTICES; YANG-MILLS THEORY

Citation Formats

Engelhardt, M. Center vortex model for the infrared sector of SU(4) Yang-Mills theory: String tensions and deconfinement transition. United States: N. p., 2006. Web. doi:10.1103/PhysRevD.73.034015.
Engelhardt, M. Center vortex model for the infrared sector of SU(4) Yang-Mills theory: String tensions and deconfinement transition. United States. doi:10.1103/PhysRevD.73.034015.
Engelhardt, M. Wed . "Center vortex model for the infrared sector of SU(4) Yang-Mills theory: String tensions and deconfinement transition". United States. doi:10.1103/PhysRevD.73.034015.
@article{osti_20776657,
title = {Center vortex model for the infrared sector of SU(4) Yang-Mills theory: String tensions and deconfinement transition},
author = {Engelhardt, M},
abstractNote = {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 to 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.},
doi = {10.1103/PhysRevD.73.034015},
journal = {Physical Review. D, Particles Fields},
issn = {0556-2821},
number = 3,
volume = 73,
place = {United States},
year = {2006},
month = {2}
}