The topological susceptibility in finite temperature QCD and axion cosmology

Petreczky, Peter; Schadler, Hans-Peter; Sharma, Sayantan

doi:10.1016/j.physletb.2016.09.063

Title: 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:: Petreczky, Peter; Schadler, Hans-Peter; Sharma, Sayantan

Publication Date:: Tue Nov 01 00:00:00 EDT 2016

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

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

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.

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

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

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@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         = {Tue Nov 01 00:00:00 EDT 2016},

  month        = {Tue Nov 01 00:00:00 EDT 2016}

}

Copy to clipboard

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Title: The topological susceptibility in finite temperature QCD and axion cosmology

Abstract

Citation Formats

Nonperturbative QCD simulations with 2 + 1 flavors of improved staggered quarks journal, May 2010

The not-so-harmless axion journal, January 1983

Confronting instanton perturbation theory with QCD lattice results journal, July 1999

The scales of euclidean and hamiltonian lattice QCD journal, December 1981

Renormalization of the Polyakov loop with gradient flow journal, November 2015

Quark number susceptibilities at high temperatures journal, November 2013

Cosmology of the invisible axion journal, January 1983

Lattice QCD ensembles with four flavors of highly improved staggered quarks journal, March 2013

The structure of the gauge theory vacuum journal, August 1976

Vacuum Periodicity in a Yang-Mills Quantum Theory journal, July 1976

Finite temperature study of the axial U(1) symmetry on the lattice with overlap fermion formulation journal, June 2013

Polyakov loop at next-to-next-to-leading order journal, February 2016

Axion cosmology, lattice QCD and the dilute instanton gas journal, January 2016

Topological susceptibility with the asqtad action journal, June 2010

Instantons in QCD journal, April 1998

Periodic Euclidean solutions and the finite-temperature Yang-Mills gas journal, April 1978

How instantons solve the U(1) problem journal, September 1986

QCD and instantons at finite temperature journal, January 1981

High-precision quark masses and QCD coupling from n f = 4 lattice QCD journal, March 2015

Lattice QCD at non-zero temperature journal, August 2012

A method for simulating chiral fermions on the lattice journal, August 1992

RunDec: a Mathematica package for running and decoupling of the strong coupling and quark masses journal, December 2000

QCD chiral transition, U ( 1 ) A symmetry and the dirac spectrum using domain wall fermions journal, March 2014

Pseudoparticle solutions of the Yang-Mills equations journal, October 1975

Microscopic origin of U A ( 1 ) symmetry violation in the high temperature phase of QCD journal, May 2015

Chiral fermions on the lattice journal, November 1993

A cosmological bound on the invisible axion journal, January 1983

A semiclassical formula for the topological susceptibility in a finite space-time volume journal, June 1982

Periodic instantons with non-trivial holonomy journal, November 1998

Thermodynamics of strong-interaction matter from lattice QCD journal, October 2015

Windows on the axion journal, December 1990

Diagonal and off-diagonal quark number susceptibilities at high temperatures journal, October 2015

Topology across the finite temperature transition studied by overimproved cooling in gluodynamics and QCD journal, June 2013

Constraints imposed by CP conservation in the presence of pseudoparticles journal, September 1977

Three-loop free energy for high-temperature QED and QCD with fermions journal, February 1995

Nonperturbative Debye Mass in Finite Temperature QCD journal, October 1997

Screening masses of hot SU(2) gauge theory from the 3d adjoint Higgs model journal, December 1998

Gauge-invariant scalar and field strength correlators in three dimensions journal, July 1998

CP Conservation in the Presence of Pseudoparticles journal, June 1977

Higher-order quantum corrections in the presence of an instanton background field journal, January 1985

Thermodynamics of S U ( 3 ) gauge theory from gradient flow on the lattice journal, July 2014

Topological Susceptibility in SU(3) Gauge Theory journal, January 2005

Lattice QCD input for axion cosmology journal, August 2015

Glueball masses and string tension in lattice QCD journal, June 1987

Nonperturbative QCD simulations with $2 + 1$ flavors of improved staggered quarks
journal, May 2010

The not-so-harmless axion
journal, January 1983

Confronting instanton perturbation theory with QCD lattice results
journal, July 1999

The scales of euclidean and hamiltonian lattice QCD
journal, December 1981

Renormalization of the Polyakov loop with gradient flow
journal, November 2015

Quark number susceptibilities at high temperatures
journal, November 2013

Cosmology of the invisible axion
journal, January 1983

Lattice QCD ensembles with four flavors of highly improved staggered quarks
journal, March 2013

The structure of the gauge theory vacuum
journal, August 1976

Vacuum Periodicity in a Yang-Mills Quantum Theory
journal, July 1976

Finite temperature study of the axial U(1) symmetry on the lattice with overlap fermion formulation
journal, June 2013

Polyakov loop at next-to-next-to-leading order
journal, February 2016

Axion cosmology, lattice QCD and the dilute instanton gas
journal, January 2016

Topological susceptibility with the asqtad action
journal, June 2010

Instantons in QCD
journal, April 1998

Periodic Euclidean solutions and the finite-temperature Yang-Mills gas
journal, April 1978

How instantons solve the U(1) problem
journal, September 1986

QCD and instantons at finite temperature
journal, January 1981

High-precision quark masses and QCD coupling from $n_{f} = 4$ lattice QCD
journal, March 2015

Lattice QCD at non-zero temperature
journal, August 2012

A method for simulating chiral fermions on the lattice
journal, August 1992

RunDec: a Mathematica package for running and decoupling of the strong coupling and quark masses
journal, December 2000

QCD chiral transition, $U (1)_{A}$ symmetry and the dirac spectrum using domain wall fermions
journal, March 2014

Pseudoparticle solutions of the Yang-Mills equations
journal, October 1975

Microscopic origin of $U_{A} (1)$ symmetry violation in the high temperature phase of QCD
journal, May 2015

Chiral fermions on the lattice
journal, November 1993

A cosmological bound on the invisible axion
journal, January 1983

A semiclassical formula for the topological susceptibility in a finite space-time volume
journal, June 1982

Periodic instantons with non-trivial holonomy
journal, November 1998

Thermodynamics of strong-interaction matter from lattice QCD
journal, October 2015

Windows on the axion
journal, December 1990

Diagonal and off-diagonal quark number susceptibilities at high temperatures
journal, October 2015

Topology across the finite temperature transition studied by overimproved cooling in gluodynamics and QCD
journal, June 2013

Constraints imposed by $CP$ conservation in the presence of pseudoparticles
journal, September 1977

Three-loop free energy for high-temperature QED and QCD with fermions
journal, February 1995

Nonperturbative Debye Mass in Finite Temperature QCD
journal, October 1997

Screening masses of hot SU(2) gauge theory from the 3d adjoint Higgs model
journal, December 1998

Gauge-invariant scalar and field strength correlators in three dimensions
journal, July 1998

$CP$ Conservation in the Presence of Pseudoparticles
journal, June 1977

Higher-order quantum corrections in the presence of an instanton background field
journal, January 1985

Thermodynamics of $S U (3)$ gauge theory from gradient flow on the lattice
journal, July 2014

Topological Susceptibility in SU(3) Gauge Theory
journal, January 2005

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journal, August 2015

Glueball masses and string tension in lattice QCD
journal, June 1987