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Title: The Scalar Mesons and Z(3) Symmetry

Abstract

It is pointed out that the det{sigma} + det{sigma}{dagger} term, which resolves the UA(1) problem in effective theories, gives rise to three classical minima along the UA(1) circle when Nf = 3. The three minima are related to the center Z(3) of SU(3). This Z(3) symmetry can be retained if the SU(3)L x SU(3)R symmetry breaking is assumed to be trilinear in the fields. The three vacua suggests a connection to the strong CP problem and confinement.

Authors:
 [1]
  1. Department of Physical Sciences, University of Helsinki, POB 64, FIN-00014 (Finland)
Publication Date:
OSTI Identifier:
21056836
Resource Type:
Journal Article
Resource Relation:
Journal Name: AIP Conference Proceedings; Journal Volume: 892; Journal Issue: 1; Conference: QCHS7: 7. conference on quark confinement and the hadron spectrum, Ponta Delgada, Acores (Portugal), 2-7 Sep 2006; Other Information: DOI: 10.1063/1.2714399; (c) 2007 American Institute of Physics; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; BAG MODEL; CP INVARIANCE; QUANTUM FIELD THEORY; SCALAR MESONS; SU-3 GROUPS; SYMMETRY; SYMMETRY BREAKING; VACUUM STATES

Citation Formats

Toernqvist, Nils A. The Scalar Mesons and Z(3) Symmetry. United States: N. p., 2007. Web. doi:10.1063/1.2714399.
Toernqvist, Nils A. The Scalar Mesons and Z(3) Symmetry. United States. doi:10.1063/1.2714399.
Toernqvist, Nils A. Tue . "The Scalar Mesons and Z(3) Symmetry". United States. doi:10.1063/1.2714399.
@article{osti_21056836,
title = {The Scalar Mesons and Z(3) Symmetry},
author = {Toernqvist, Nils A.},
abstractNote = {It is pointed out that the det{sigma} + det{sigma}{dagger} term, which resolves the UA(1) problem in effective theories, gives rise to three classical minima along the UA(1) circle when Nf = 3. The three minima are related to the center Z(3) of SU(3). This Z(3) symmetry can be retained if the SU(3)L x SU(3)R symmetry breaking is assumed to be trilinear in the fields. The three vacua suggests a connection to the strong CP problem and confinement.},
doi = {10.1063/1.2714399},
journal = {AIP Conference Proceedings},
number = 1,
volume = 892,
place = {United States},
year = {Tue Feb 27 00:00:00 EST 2007},
month = {Tue Feb 27 00:00:00 EST 2007}
}