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Flavor-parity breaking in the NJL model with Wilson fermions

Abstract

The Nambu-Jona-Lasinio model is chirally symmetric. Addition of a Wilson term explicitly breaks this symmetry and leaves the model with a remaining parity-flavor symmetry. In the approximation of a large number of colors it has been shown that there is a phase where the remaining parity-flavor symmetry is spontaneously broken and that on the phase boundary all pions become massless. Using numerical simulations we confirm the existence of this phase for the case of two flavors and two colors. We also confirm the large N prediction of the existence of large finite size effects that alter the shape of the phase boundary dramatically when periodic boundary conditions are used. ((orig.)).
Authors:
Bitar, K M; [1]  Vranas, P M [2] 
  1. Florida State Univ., Tallahassee, FL (United States). Supercomputer Computations Research Inst. (SCRI)
  2. Columbia Univ., New York, NY (United States). Dept. of Physics
Publication Date:
Apr 01, 1995
Product Type:
Journal Article
Report Number:
CONF-9409269-
Reference Number:
SCA: 662240; 662120; PA: AIX-26:064599; EDB-95:132721; SN: 95001458580
Resource Relation:
Journal Name: Nuclear Physics B, Proceedings Supplements; Journal Volume: 42; Conference: Lattice `94, Bielefeld (Germany), 25 Sep - 1 Oct 1994; Other Information: PBD: Apr 1995
Subject:
66 PHYSICS; CHIRAL SYMMETRY; FLAVOR MODEL; LATTICE FIELD THEORY; P INVARIANCE; PIONS; REST MASS; BOUNDARY CONDITIONS; COLOR MODEL; COMPUTERIZED SIMULATION; INTERFACES; LAGRANGIAN FIELD THEORY; MAGNETIZATION; MASSLESS PARTICLES; PHASE DIAGRAMS; PROPAGATOR; QUARKS; SADDLE-POINT METHOD; SU-2 GROUPS; SYMMETRY BREAKING
OSTI ID:
101304
Country of Origin:
Netherlands
Language:
English
Other Identifying Numbers:
Journal ID: NPBSE7; ISSN 0920-5632; TRN: NL95FF411064599
Submitting Site:
NLN
Size:
pp. 746-748
Announcement Date:
Oct 05, 1995

Citation Formats

Bitar, K M, and Vranas, P M. Flavor-parity breaking in the NJL model with Wilson fermions. Netherlands: N. p., 1995. Web. doi:10.1016/0920-5632(95)00369-K.
Bitar, K M, & Vranas, P M. Flavor-parity breaking in the NJL model with Wilson fermions. Netherlands. https://doi.org/10.1016/0920-5632(95)00369-K
Bitar, K M, and Vranas, P M. 1995. "Flavor-parity breaking in the NJL model with Wilson fermions." Netherlands. https://doi.org/10.1016/0920-5632(95)00369-K.
@misc{etde_101304,
title = {Flavor-parity breaking in the NJL model with Wilson fermions}
author = {Bitar, K M, and Vranas, P M}
abstractNote = {The Nambu-Jona-Lasinio model is chirally symmetric. Addition of a Wilson term explicitly breaks this symmetry and leaves the model with a remaining parity-flavor symmetry. In the approximation of a large number of colors it has been shown that there is a phase where the remaining parity-flavor symmetry is spontaneously broken and that on the phase boundary all pions become massless. Using numerical simulations we confirm the existence of this phase for the case of two flavors and two colors. We also confirm the large N prediction of the existence of large finite size effects that alter the shape of the phase boundary dramatically when periodic boundary conditions are used. ((orig.)).}
doi = {10.1016/0920-5632(95)00369-K}
journal = []
volume = {42}
journal type = {AC}
place = {Netherlands}
year = {1995}
month = {Apr}
}