# Topological susceptibility in the SU(3) gauge theory

## Abstract

We compute the topological susceptibility for the SU(3) Yang-Mills theory by employing the expression of the topological charge density operator suggested by Neuberger's fermions. In the continuum limit we find r{sub 0}{sup 4}{chi} = 0.059(3), which corresponds to {chi} = (191 {+-} 5 MeV)4 if FK is used to set the scale. Our result supports the Witten-Veneziano explanation for the large mass of the {eta}'. Comments on the large-volume distribution of the topological charge are presented.

- Authors:

- CERN, Department of Physics, TH Division, CH-1211 Geneva 23 (Switzerland)

- Publication Date:

- OSTI Identifier:
- 20787629

- Resource Type:
- Journal Article

- Resource Relation:
- Journal Name: AIP Conference Proceedings; Journal Volume: 806; Journal Issue: 1; Conference: International workshop on quantum chromodynamics: Theory and experiment, Conversano, Bari (Italy), 16-20 Jun 2005; Other Information: DOI: 10.1063/1.2163756; (c) 2006 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; CHARGE DENSITY; DISTRIBUTION; ETA PRIME-958 MESONS; FERMIONS; GAUGE INVARIANCE; MEV RANGE; QUANTUM CHROMODYNAMICS; REST MASS; SU-3 GROUPS; TOPOLOGY; YANG-MILLS THEORY

### Citation Formats

```
Del Debbio, Luigi.
```*Topological susceptibility in the SU(3) gauge theory*. United States: N. p., 2006.
Web. doi:10.1063/1.2163756.

```
Del Debbio, Luigi.
```*Topological susceptibility in the SU(3) gauge theory*. United States. doi:10.1063/1.2163756.

```
Del Debbio, Luigi. Thu .
"Topological susceptibility in the SU(3) gauge theory". United States.
doi:10.1063/1.2163756.
```

```
@article{osti_20787629,
```

title = {Topological susceptibility in the SU(3) gauge theory},

author = {Del Debbio, Luigi},

abstractNote = {We compute the topological susceptibility for the SU(3) Yang-Mills theory by employing the expression of the topological charge density operator suggested by Neuberger's fermions. In the continuum limit we find r{sub 0}{sup 4}{chi} = 0.059(3), which corresponds to {chi} = (191 {+-} 5 MeV)4 if FK is used to set the scale. Our result supports the Witten-Veneziano explanation for the large mass of the {eta}'. Comments on the large-volume distribution of the topological charge are presented.},

doi = {10.1063/1.2163756},

journal = {AIP Conference Proceedings},

number = 1,

volume = 806,

place = {United States},

year = {Thu Jan 12 00:00:00 EST 2006},

month = {Thu Jan 12 00:00:00 EST 2006}

}

DOI: 10.1063/1.2163756

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