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Spontaneous symmetry breaking in QCD

Technical Report:

Abstract

We study dynamical chiral symmetry breaking in QCD by the use of the generalized Hartree-Fock method. The low energy quark mass is calculated to the second order of diagrammatic expansion around shifted perturbative vacuum where quarks are massive. We show that the low energy mass is finite and renormalization group invariant. We find that the finite mass gap emerges as the solutions of gap equation and stationarity condition, thereby breaking the chiral symmetry. We also discuss the possibility that the breaking solution may exist up to all orders. (author).
Authors:
Publication Date:
Mar 01, 1992
Product Type:
Technical Report
Report Number:
INS-918
Reference Number:
SCA: 662120; 662230; PA: JPN-92:011001; SN: 93000918406
Resource Relation:
Other Information: PBD: Mar 1992
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; CHIRAL SYMMETRY; QUANTUM CHROMODYNAMICS; SYMMETRY BREAKING; HARTREE-FOCK METHOD; PERTURBATION THEORY; FLAVOR MODEL; REST MASS; PROPAGATOR; 662120; 662230; SYMMETRY, CONSERVATION LAWS, CURRENTS AND THEIR PROPERTIES
OSTI ID:
10111058
Research Organizations:
Tokyo Univ., Tanashi (Japan). Inst. for Nuclear Study
Country of Origin:
Japan
Language:
English
Other Identifying Numbers:
Other: ON: DE93753080; TRN: JP9211001
Availability:
OSTI; NTIS; INIS
Submitting Site:
JPN
Size:
25 p.
Announcement Date:
Jun 30, 2005

Technical Report:

Citation Formats

Yamada, Hirofumi. Spontaneous symmetry breaking in QCD. Japan: N. p., 1992. Web.
Yamada, Hirofumi. Spontaneous symmetry breaking in QCD. Japan.
Yamada, Hirofumi. 1992. "Spontaneous symmetry breaking in QCD." Japan.
@misc{etde_10111058,
title = {Spontaneous symmetry breaking in QCD}
author = {Yamada, Hirofumi}
abstractNote = {We study dynamical chiral symmetry breaking in QCD by the use of the generalized Hartree-Fock method. The low energy quark mass is calculated to the second order of diagrammatic expansion around shifted perturbative vacuum where quarks are massive. We show that the low energy mass is finite and renormalization group invariant. We find that the finite mass gap emerges as the solutions of gap equation and stationarity condition, thereby breaking the chiral symmetry. We also discuss the possibility that the breaking solution may exist up to all orders. (author).}
place = {Japan}
year = {1992}
month = {Mar}
}