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Title: Partial restoration of chiral symmetry in a confining string

Abstract

Here, we attempt to describe the interplay of confinement and chiral symmetry breaking in QCD by using the string model. We argue that in the quasi-Abelian picture of confinement based on the condensation of magnetic monopoles and the dual Meissner effect, the world sheet dynamics of the confining string can be effectively described by the 1+1 dimensional massless electrodynamics, which is exactly soluble. The transverse plane distribution of the chromoelectric field stretched between the quark and antiquark sources can then be attributed to the fluctuations in the position of the string. The dependence of the chiral condensate in the string on the (chromo-)electric field can be evaluated analytically, and is determined by the chiral anomaly and the θ-vacuum structure. Moreover, our picture allows us to predict the distribution of the chiral condensate in the plane transverse to the axis connecting the quark and antiquark. This prediction is compared to the lattice QCD results; a good agreement is found.

Authors:
 [1];  [2]
  1. Stony Brook Univ., NY (United States); Brookhaven National Lab. (BNL), Upton, NY (United States)
  2. Stony Brook Univ., NY (United States)
Publication Date:
Research Org.:
Brookhaven National Lab. (BNL), Upton, NY (United States)
Sponsoring Org.:
USDOE Office of Science (SC)
OSTI Identifier:
1166721
Report Number(s):
BNL-107052-2014-JA
Journal ID: ISSN 2470-0010; R&D Project: KB0301020
DOE Contract Number:
AC02-98CH10886
Resource Type:
Journal Article
Resource Relation:
Journal Name: Physical Review D; Journal Volume: 90; Journal Issue: 03
Country of Publication:
United States
Language:
English
Subject:
73 NUCLEAR PHYSICS AND RADIATION PHYSICS; chiral symmetry

Citation Formats

Kharzeev, Dmitri E., and Loshaj, F.. Partial restoration of chiral symmetry in a confining string. United States: N. p., 2014. Web. doi:10.1103/PhysRevD.90.037501.
Kharzeev, Dmitri E., & Loshaj, F.. Partial restoration of chiral symmetry in a confining string. United States. doi:10.1103/PhysRevD.90.037501.
Kharzeev, Dmitri E., and Loshaj, F.. Fri . "Partial restoration of chiral symmetry in a confining string". United States. doi:10.1103/PhysRevD.90.037501.
@article{osti_1166721,
title = {Partial restoration of chiral symmetry in a confining string},
author = {Kharzeev, Dmitri E. and Loshaj, F.},
abstractNote = {Here, we attempt to describe the interplay of confinement and chiral symmetry breaking in QCD by using the string model. We argue that in the quasi-Abelian picture of confinement based on the condensation of magnetic monopoles and the dual Meissner effect, the world sheet dynamics of the confining string can be effectively described by the 1+1 dimensional massless electrodynamics, which is exactly soluble. The transverse plane distribution of the chromoelectric field stretched between the quark and antiquark sources can then be attributed to the fluctuations in the position of the string. The dependence of the chiral condensate in the string on the (chromo-)electric field can be evaluated analytically, and is determined by the chiral anomaly and the θ-vacuum structure. Moreover, our picture allows us to predict the distribution of the chiral condensate in the plane transverse to the axis connecting the quark and antiquark. This prediction is compared to the lattice QCD results; a good agreement is found.},
doi = {10.1103/PhysRevD.90.037501},
journal = {Physical Review D},
number = 03,
volume = 90,
place = {United States},
year = {Fri Aug 01 00:00:00 EDT 2014},
month = {Fri Aug 01 00:00:00 EDT 2014}
}
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