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Title: Chiral phase transition for SU(N) gauge theories via an effective Lagrangian approach

Abstract

We study the chiral phase transition for vectorlike SU(N) gauge theories as a function of the number of quark flavors N{sub f} by making use of an anomaly-induced effective potential. We modify an effective potential of a previous work, suggested for N{sub f}{lt}N, and apply it to larger values of N{sub f} where the phase transition is expected to occur. The new effective potential depends explicitly on the full {beta} function and the anomalous dimension {gamma} of the quark mass operator. By using this potential we argue that chiral symmetry is restored for {gamma}{lt}1. A perturbative computation of {gamma} then leads to an estimate of the critical value N{sub f}{sup c} for the transition. {copyright} {ital 1999} {ital The American Physical Society}

Authors:
 [1];  [2]
  1. Department of Physics, Yale University, New Haven, Connecticut 06520-8120 (United States)
  2. Department of Physics, Syracuse University, Syracuse, New York 13244-1130 (United States)
Publication Date:
OSTI Identifier:
362735
Resource Type:
Journal Article
Journal Name:
Physical Review, D
Additional Journal Information:
Journal Volume: 60; Journal Issue: 5; Other Information: PBD: Sep 1999
Country of Publication:
United States
Language:
English
Subject:
66 PHYSICS; CHIRAL SYMMETRY; PHASE TRANSFORMATIONS; SU GROUPS; GAUGE INVARIANCE; PERTURBATION THEORY; LAGRANGIAN FIELD THEORY

Citation Formats

Sannino, F., and Schechter, J. Chiral phase transition for SU(N) gauge theories via an effective Lagrangian approach. United States: N. p., 1999. Web. doi:10.1103/PhysRevD.60.056004.
Sannino, F., & Schechter, J. Chiral phase transition for SU(N) gauge theories via an effective Lagrangian approach. United States. doi:10.1103/PhysRevD.60.056004.
Sannino, F., and Schechter, J. Wed . "Chiral phase transition for SU(N) gauge theories via an effective Lagrangian approach". United States. doi:10.1103/PhysRevD.60.056004.
@article{osti_362735,
title = {Chiral phase transition for SU(N) gauge theories via an effective Lagrangian approach},
author = {Sannino, F. and Schechter, J.},
abstractNote = {We study the chiral phase transition for vectorlike SU(N) gauge theories as a function of the number of quark flavors N{sub f} by making use of an anomaly-induced effective potential. We modify an effective potential of a previous work, suggested for N{sub f}{lt}N, and apply it to larger values of N{sub f} where the phase transition is expected to occur. The new effective potential depends explicitly on the full {beta} function and the anomalous dimension {gamma} of the quark mass operator. By using this potential we argue that chiral symmetry is restored for {gamma}{lt}1. A perturbative computation of {gamma} then leads to an estimate of the critical value N{sub f}{sup c} for the transition. {copyright} {ital 1999} {ital The American Physical Society}},
doi = {10.1103/PhysRevD.60.056004},
journal = {Physical Review, D},
number = 5,
volume = 60,
place = {United States},
year = {1999},
month = {9}
}