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Title: Abelian Duality, Confinement, and Chiral-Symmetry Breaking in a SU(2) QCD-Like Theory

Abstract

We analyze the vacuum structure of SU(2) QCD with multiple massless adjoint representation fermions formulated on a small spatial S{sup 1}xR{sup 3}. The absence of thermal fluctuations, and the fact that quantum fluctuations favor the vacuum with unbroken center symmetry in a weakly coupled regime, renders the interesting dynamics of these theories analytically calculable. Confinement and the generation of the mass gap in the gluonic sector are shown analytically. In this regime, theory exhibits confinement without continuous chiral-symmetry breaking. However, a flavor singlet chiral condensate (which breaks a discrete chiral symmetry) persists at arbitrarily small S{sup 1}. Under certain reasonable assumptions, we show that the theory exhibits a zero temperature chiral phase transition in the absence of any change in spatial center symmetry realizations.

Authors:
 [1]
  1. SLAC and Department of Physics, Stanford University, California, 94025 (United States)
Publication Date:
OSTI Identifier:
21020970
Resource Type:
Journal Article
Journal Name:
Physical Review Letters
Additional Journal Information:
Journal Volume: 100; Journal Issue: 3; Other Information: DOI: 10.1103/PhysRevLett.100.032005; (c) 2008 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 0031-9007
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; CHIRAL SYMMETRY; CHIRALITY; DUALITY; FERMIONS; FLAVOR MODEL; QUANTUM CHROMODYNAMICS; SU-2 GROUPS; SYMMETRY BREAKING

Citation Formats

Uensal, Mithat. Abelian Duality, Confinement, and Chiral-Symmetry Breaking in a SU(2) QCD-Like Theory. United States: N. p., 2008. Web. doi:10.1103/PHYSREVLETT.100.032005.
Uensal, Mithat. Abelian Duality, Confinement, and Chiral-Symmetry Breaking in a SU(2) QCD-Like Theory. United States. https://doi.org/10.1103/PHYSREVLETT.100.032005
Uensal, Mithat. Fri . "Abelian Duality, Confinement, and Chiral-Symmetry Breaking in a SU(2) QCD-Like Theory". United States. https://doi.org/10.1103/PHYSREVLETT.100.032005.
@article{osti_21020970,
title = {Abelian Duality, Confinement, and Chiral-Symmetry Breaking in a SU(2) QCD-Like Theory},
author = {Uensal, Mithat},
abstractNote = {We analyze the vacuum structure of SU(2) QCD with multiple massless adjoint representation fermions formulated on a small spatial S{sup 1}xR{sup 3}. The absence of thermal fluctuations, and the fact that quantum fluctuations favor the vacuum with unbroken center symmetry in a weakly coupled regime, renders the interesting dynamics of these theories analytically calculable. Confinement and the generation of the mass gap in the gluonic sector are shown analytically. In this regime, theory exhibits confinement without continuous chiral-symmetry breaking. However, a flavor singlet chiral condensate (which breaks a discrete chiral symmetry) persists at arbitrarily small S{sup 1}. Under certain reasonable assumptions, we show that the theory exhibits a zero temperature chiral phase transition in the absence of any change in spatial center symmetry realizations.},
doi = {10.1103/PHYSREVLETT.100.032005},
url = {https://www.osti.gov/biblio/21020970}, journal = {Physical Review Letters},
issn = {0031-9007},
number = 3,
volume = 100,
place = {United States},
year = {2008},
month = {1}
}