You need JavaScript to view this

{theta} vacua, confinement and the continuum limit

Abstract

We investigate the dependence of the CP{sup 3} model and of the SU(2) Yang-Mills theory on the vacuum angle {theta}. The CP{sup 3} model exhibits a first-order deconfining phase transition in {theta}. The critical value of {theta} runs from {pi} in the strong coupling limit towards zero as {beta} is taken to infinity. Qualitatively the same behavior is found in the SU(2) Yang-Mills theory in four dimensions. We discuss the renormalization group trajectories. Only the line with {theta}=0 allows the cut-off to go to infinity, while the lines with {theta}>0 end on the line of first order phase transitions. Thus {theta} is forced to zero in the continuum limit. ((orig.)).
Authors:
Schierholz, G [1] 
  1. Deutsches Elektronen-Synchrotron (DESY), Hamburg (Germany)
Publication Date:
Apr 01, 1995
Product Type:
Journal Article
Report Number:
CONF-9409269-
Reference Number:
SCA: 662110; PA: AIX-26:064440; EDB-95:132412; SN: 95001458454
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; LATTICE FIELD THEORY; VACUUM STATES; YANG-MILLS THEORY; ASYMPTOTIC SOLUTIONS; BAG MODEL; CHARGE DENSITY; FOUR-DIMENSIONAL CALCULATIONS; FREE ENERGY; PARTITION FUNCTIONS; PHASE DIAGRAMS; PHASE TRANSFORMATIONS; RENORMALIZATION; STRESSES; STRING MODELS; SU-2 GROUPS; UNIFIED GAUGE MODELS
OSTI ID:
101171
Country of Origin:
Netherlands
Language:
English
Other Identifying Numbers:
Journal ID: NPBSE7; ISSN 0920-5632; TRN: NL95FF557064440
Submitting Site:
NLN
Size:
pp. 270-272
Announcement Date:
Oct 05, 1995

Citation Formats

Schierholz, G. {theta} vacua, confinement and the continuum limit. Netherlands: N. p., 1995. Web. doi:10.1016/0920-5632(95)00223-V.
Schierholz, G. {theta} vacua, confinement and the continuum limit. Netherlands. doi:10.1016/0920-5632(95)00223-V.
Schierholz, G. 1995. "{theta} vacua, confinement and the continuum limit." Netherlands. doi:10.1016/0920-5632(95)00223-V. https://www.osti.gov/servlets/purl/10.1016/0920-5632(95)00223-V.
@misc{etde_101171,
title = {{theta} vacua, confinement and the continuum limit}
author = {Schierholz, G}
abstractNote = {We investigate the dependence of the CP{sup 3} model and of the SU(2) Yang-Mills theory on the vacuum angle {theta}. The CP{sup 3} model exhibits a first-order deconfining phase transition in {theta}. The critical value of {theta} runs from {pi} in the strong coupling limit towards zero as {beta} is taken to infinity. Qualitatively the same behavior is found in the SU(2) Yang-Mills theory in four dimensions. We discuss the renormalization group trajectories. Only the line with {theta}=0 allows the cut-off to go to infinity, while the lines with {theta}>0 end on the line of first order phase transitions. Thus {theta} is forced to zero in the continuum limit. ((orig.)).}
doi = {10.1016/0920-5632(95)00223-V}
journal = {Nuclear Physics B, Proceedings Supplements}
volume = {42}
journal type = {AC}
place = {Netherlands}
year = {1995}
month = {Apr}
}