# 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, 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}

}

DOI: 10.1063/1.2714399

Other availability

Save to My Library

You must Sign In or Create an Account in order to save documents to your library.