# Topological charge and cooling scales in pure SU(2) lattice gauge theory

## Abstract

Using Monte Carlo simulations with overrelaxation, we have equilibrated lattices up to β = 2.928 , size 60 ^{4} , for pure SU(2) lattice gauge theory with the Wilson action. We calculate topological charges with the standard cooling method and find that they become more reliable with increasing β values and lattice sizes. Continuum limit estimates of the topological susceptibility χ are obtained of which we favor χ ^{1/4}/T _{c} = 0.643 ( 12 ) , where T _{c} is the SU(2) deconfinement temperature. Differences between cooling length scales in different topological sectors turn out to be too small to be detectable within our statistical errors.

- Authors:

- Publication Date:

- Research Org.:
- Florida State Univ., Tallahassee, FL (United States)

- Sponsoring Org.:
- USDOE

- OSTI Identifier:
- 1426338

- Alternate Identifier(s):
- OSTI ID: 1498845

- Grant/Contract Number:
- SC0010102; AC02-05CH11231; sc0010102

- Resource Type:
- Published Article

- Journal Name:
- Physical Review D

- Additional Journal Information:
- Journal Name: Physical Review D Journal Volume: 97 Journal Issue: 5; Journal ID: ISSN 2470-0010

- Publisher:
- American Physical Society

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS

### Citation Formats

```
Berg, Bernd A., and Clarke, David A. Topological charge and cooling scales in pure SU(2) lattice gauge theory. United States: N. p., 2018.
Web. doi:10.1103/PhysRevD.97.054506.
```

```
Berg, Bernd A., & Clarke, David A. Topological charge and cooling scales in pure SU(2) lattice gauge theory. United States. doi:10.1103/PhysRevD.97.054506.
```

```
Berg, Bernd A., and Clarke, David A. Thu .
"Topological charge and cooling scales in pure SU(2) lattice gauge theory". United States. doi:10.1103/PhysRevD.97.054506.
```

```
@article{osti_1426338,
```

title = {Topological charge and cooling scales in pure SU(2) lattice gauge theory},

author = {Berg, Bernd A. and Clarke, David A.},

abstractNote = {Using Monte Carlo simulations with overrelaxation, we have equilibrated lattices up to β = 2.928 , size 604 , for pure SU(2) lattice gauge theory with the Wilson action. We calculate topological charges with the standard cooling method and find that they become more reliable with increasing β values and lattice sizes. Continuum limit estimates of the topological susceptibility χ are obtained of which we favor χ1/4/Tc = 0.643 ( 12 ) , where Tc is the SU(2) deconfinement temperature. Differences between cooling length scales in different topological sectors turn out to be too small to be detectable within our statistical errors.},

doi = {10.1103/PhysRevD.97.054506},

journal = {Physical Review D},

number = 5,

volume = 97,

place = {United States},

year = {2018},

month = {3}

}

Free Publicly Available Full Text

Publisher's Version of Record

DOI: 10.1103/PhysRevD.97.054506

DOI: 10.1103/PhysRevD.97.054506

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Cited by: 1 work

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#### Figures / Tables:

Figure 1: 16

^{4}, β = 2.3: Cooling time series $Q^{2048}(i_c)$
All figures and tables
(15 total)

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Figures / Tables found in this record:

*Figures/Tables have been extracted from DOE-funded journal article accepted manuscripts.*