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:
 Department of Physical Sciences, University of Helsinki, POB 64, FIN00014 (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), 27 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; SU3 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}
}
DOI: 10.1063/1.2714399
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