# The topological susceptibility in finite temperature QCD and axion cosmology

## Abstract

We study the topological susceptibility in 2+1 flavor QCD above the chiral crossover transition temperature using Highly Improved Staggered Quark action and several lattice spacings corresponding to temporal extent of the lattice, N _{τ}=6,8,10 and 12. We observe very distinct temperature dependences of the topological susceptibility in the ranges above and below 250MeV. While for temperatures above 250MeV, the dependence is found to be consistent with dilute instanton gas approximation, at lower temperatures the fall-off of topological susceptibility is milder. We discuss the consequence of our results for cosmology wherein we estimate the bounds on the axion decay constant and the oscillation temperature if indeed the QCD axion is a possible dark matter candidate.

- Authors:

- Publication Date:

- Research Org.:
- Brookhaven National Lab. (BNL), Upton, NY (United States)

- Sponsoring Org.:
- USDOE Office of Science (SC), Nuclear Physics (NP) (SC-26)

- OSTI Identifier:
- 1328256

- Alternate Identifier(s):
- OSTI ID: 1376101

- Report Number(s):
- BNL-113932-2017-JA

Journal ID: ISSN 0370-2693; S0370269316305718; PII: S0370269316305718

- Grant/Contract Number:
- SC0012704

- Resource Type:
- Published Article

- Journal Name:
- Physics Letters B

- Additional Journal Information:
- Journal Name: Physics Letters B Journal Volume: 762 Journal Issue: C; Journal ID: ISSN 0370-2693

- Publisher:
- Elsevier

- Country of Publication:
- Netherlands

- Language:
- English

- Subject:
- 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS

### Citation Formats

```
Petreczky, Peter, Schadler, Hans-Peter, and Sharma, Sayantan. The topological susceptibility in finite temperature QCD and axion cosmology. Netherlands: N. p., 2016.
Web. doi:10.1016/j.physletb.2016.09.063.
```

```
Petreczky, Peter, Schadler, Hans-Peter, & Sharma, Sayantan. The topological susceptibility in finite temperature QCD and axion cosmology. Netherlands. doi:10.1016/j.physletb.2016.09.063.
```

```
Petreczky, Peter, Schadler, Hans-Peter, and Sharma, Sayantan. Tue .
"The topological susceptibility in finite temperature QCD and axion cosmology". Netherlands. doi:10.1016/j.physletb.2016.09.063.
```

```
@article{osti_1328256,
```

title = {The topological susceptibility in finite temperature QCD and axion cosmology},

author = {Petreczky, Peter and Schadler, Hans-Peter and Sharma, Sayantan},

abstractNote = {We study the topological susceptibility in 2+1 flavor QCD above the chiral crossover transition temperature using Highly Improved Staggered Quark action and several lattice spacings corresponding to temporal extent of the lattice, Nτ=6,8,10 and 12. We observe very distinct temperature dependences of the topological susceptibility in the ranges above and below 250MeV. While for temperatures above 250MeV, the dependence is found to be consistent with dilute instanton gas approximation, at lower temperatures the fall-off of topological susceptibility is milder. We discuss the consequence of our results for cosmology wherein we estimate the bounds on the axion decay constant and the oscillation temperature if indeed the QCD axion is a possible dark matter candidate.},

doi = {10.1016/j.physletb.2016.09.063},

journal = {Physics Letters B},

number = C,

volume = 762,

place = {Netherlands},

year = {2016},

month = {11}

}

DOI: 10.1016/j.physletb.2016.09.063

*Citation information provided by*

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Web of Science

Works referencing / citing this record:

##
Axion global fits with Peccei-Quinn symmetry breaking before inflation using GAMBIT

journal, March 2019

- Hoof, Sebastian; Kahlhoefer, Felix; Scott, Pat
- Journal of High Energy Physics, Vol. 2019, Issue 3

##
Physics potential of the International Axion Observatory (IAXO)

journal, June 2019

- Armengaud, E.; Attié, D.; Basso, S.
- Journal of Cosmology and Astroparticle Physics, Vol. 2019, Issue 06

##
Calculation of the axion mass based on high-temperature lattice quantum chromodynamics

journal, November 2016

- Borsanyi, S.; Fodor, Z.; Guenther, J.
- Nature, Vol. 539, Issue 7627