Effects of nonequilibrated topological charge distributions on pseudoscalar meson masses and decay constants

Bernard, C.; Toussaint, D.

doi:10.1103/PhysRevD.97.074502

Title: Effects of nonequilibrated topological charge distributions on pseudoscalar meson masses and decay constants

Abstract

We study the effects of failure to equilibrate the squared topological charge Q² on lattice calculations of pseudoscalar masses and decay constants. The analysis is based on chiral perturbation theory calculations of the dependence of these quantities on the QCD vacuum angle θ. For the light-light partially quenched case, we rederive the known chiral perturbation theory results of Aoki and Fukaya, but using the nonperturbatively valid chiral theory worked out by Golterman, Sharpe and Singleton, and by Sharpe and Shoresh. We then extend these calculations to heavy-light mesons. Results when staggered taste violations are important are also presented. The derived Q² dependence is compared to that of simulations using the MILC Collaboration’s ensembles of lattices with four flavors of dynamical highly improved staggered quarks. We find agreement, albeit with large statistical errors. These results can be used to correct for the leading effects of unequilibrated Q², or to make estimates of the systematic error coming from the failure to equilibrate Q². In an appendix, we show that the partially quenched chiral theory may be extended beyond a lower bound on valence masses discovered by Sharpe and Shoresh. Subtleties occurring when a sea-quark mass vanishes are discussed in another appendix.

Authors:: Bernard, C.; Toussaint, D.

Publication Date:: Mon Apr 02 00:00:00 EDT 2018

Research Org.:: Lawrence Berkeley National Laboratory (LBNL), Berkeley, CA (United States). National Energy Research Scientific Computing Center (NERSC)

Sponsoring Org.:: USDOE Office of Science (SC)

OSTI Identifier:: 1430769

Alternate Identifier(s):: OSTI ID: 1544298

Grant/Contract Number:: AC02-05CH11231; AC02-06CH11357

Resource Type:: Published Article

Journal Name:: Physical Review. D.

Additional Journal Information:: Journal Name: Physical Review. D. Journal Volume: 97 Journal Issue: 7; Journal ID: ISSN 2470-0010

Publisher:: American Physical Society (APS)

Country of Publication:: United States

Language:: English

Subject:: 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS

Citation Formats


                    Bernard, C., and Toussaint, D. Effects of nonequilibrated topological charge distributions on pseudoscalar meson masses and decay constants.  United States: N. p., 2018. 
Web.  doi:10.1103/PhysRevD.97.074502.

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                    Bernard, C., & Toussaint, D. Effects of nonequilibrated topological charge distributions on pseudoscalar meson masses and decay constants.  United States.  https://doi.org/10.1103/PhysRevD.97.074502

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                    Bernard, C., and Toussaint, D. Mon .  
"Effects of nonequilibrated topological charge distributions on pseudoscalar meson masses and decay constants".  United States.  https://doi.org/10.1103/PhysRevD.97.074502.

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@article{osti_1430769,

  title        = {Effects of nonequilibrated topological charge distributions on pseudoscalar meson masses and decay constants},

  author       = {Bernard, C. and Toussaint, D.},

  abstractNote = {We study the effects of failure to equilibrate the squared topological charge Q2 on lattice calculations of pseudoscalar masses and decay constants. The analysis is based on chiral perturbation theory calculations of the dependence of these quantities on the QCD vacuum angle θ. For the light-light partially quenched case, we rederive the known chiral perturbation theory results of Aoki and Fukaya, but using the nonperturbatively valid chiral theory worked out by Golterman, Sharpe and Singleton, and by Sharpe and Shoresh. We then extend these calculations to heavy-light mesons. Results when staggered taste violations are important are also presented. The derived Q2 dependence is compared to that of simulations using the MILC Collaboration’s ensembles of lattices with four flavors of dynamical highly improved staggered quarks. We find agreement, albeit with large statistical errors. These results can be used to correct for the leading effects of unequilibrated Q2, or to make estimates of the systematic error coming from the failure to equilibrate Q2. In an appendix, we show that the partially quenched chiral theory may be extended beyond a lower bound on valence masses discovered by Sharpe and Shoresh. Subtleties occurring when a sea-quark mass vanishes are discussed in another appendix.},

  doi          = {10.1103/PhysRevD.97.074502},

  journal      = {Physical Review. D.},

  number       = 7,

  volume       = 97,

  place        = {United States},

  year         = {Mon Apr 02 00:00:00 EDT 2018},

  month        = {Mon Apr 02 00:00:00 EDT 2018}

}

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Title: Effects of nonequilibrated topological charge distributions on pseudoscalar meson masses and decay constants

Abstract

Citation Formats

Symmetry Breaking through Bell-Jackiw Anomalies journal, July 1976

Pion and kaon masses in staggered chiral perturbation theory journal, August 2003

Current-Mass Ratios of the Light Quarks journal, May 1986

Dynamical symmetry breaking in two flavor SU(N) and SO(N) lattice gauge theories journal, November 1983

Charmed and light pseudoscalar meson decay constants from four-flavor lattice QCD with physical light quarks journal, October 2014

Lattice QCD without topology barriers journal, July 2011

Self-energy and flavor interpretation of staggered fermions journal, January 1984

Diffusion of topological charge in lattice QCD simulations journal, October 2014

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

QCD at fixed topology journal, May 2003

U(1) without instantons journal, November 1979

Effective field theories for QCD with rooted staggered fermions journal, April 2008

Topological susceptibility with the asqtad action journal, June 2010

Partially quenched gauge theories and an application to staggered fermions journal, January 1994

Critical slowing down and error analysis in lattice QCD simulations journal, April 2011

Finite volume QCD at fixed topological charge journal, September 2007

Staggered chiral perturbation theory and the fourth-root trick journal, June 2006

Flavor symmetry and the static potential with hypercubic blocking journal, July 2001

Chiral perturbation theory: Expansions in the mass of the strange quark journal, January 1985

Spectrum of confining strings in SU(N) gauge theories journal, January 2002

Partial flavor symmetry restoration for chiral staggered fermions journal, November 1999

Topological structure in the SU (2) vacuum journal, November 1997

Instanton content of the SU(3) vacuum journal, November 1998

Partially quenched chiral perturbation theory and the replica method journal, August 2000

k -string tensions in SU ( N ) gauge theories journal, December 2001

Current algebra theorems for the U(1) “Goldstone boson” journal, September 1979

Effective theory for quenched lattice QCD and the Aoki phase journal, May 2005

Heavy Quark Physics book, January 2009

Topological susceptibility in staggered fermion chiral perturbation theory journal, October 2004

XSEDE: Accelerating Scientific Discovery journal, September 2014

Computation of the quantum effects due to a four-dimensional pseudoparticle journal, December 1976

Chiral perturbation theory in a θ vacuum journal, February 2010

Spectrum of Dirac operator and role of winding number in QCD journal, December 1992

B - and D -meson decay constants from three-flavor lattice QCD journal, June 2012

Chiral perturbation theory for all-staggered heavy-light mesons journal, November 2013

Partially quenched chiral perturbation theory without Φ 0 journal, November 2001

Staggered chiral perturbation theory journal, March 2004

Erratum: Properties and uses of the Wilson flow in lattice QCD journal, March 2014

Properties and uses of the Wilson flow in lattice QCD journal, August 2010

θ dependence of SU( N ) gauge theories journal, August 2002

Pseudoscalar decay constants in staggered chiral perturbation theory journal, October 2003

Symmetry Breaking through Bell-Jackiw Anomalies
journal, July 1976

Pion and kaon masses in staggered chiral perturbation theory
journal, August 2003

Current-Mass Ratios of the Light Quarks
journal, May 1986

Dynamical symmetry breaking in two flavor SU(N) and SO(N) lattice gauge theories
journal, November 1983

Charmed and light pseudoscalar meson decay constants from four-flavor lattice QCD with physical light quarks
journal, October 2014

Lattice QCD without topology barriers
journal, July 2011

Self-energy and flavor interpretation of staggered fermions
journal, January 1984

Diffusion of topological charge in lattice QCD simulations
journal, October 2014

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

QCD at fixed topology
journal, May 2003

U(1) without instantons
journal, November 1979

Effective field theories for QCD with rooted staggered fermions
journal, April 2008

Topological susceptibility with the asqtad action
journal, June 2010

Partially quenched gauge theories and an application to staggered fermions
journal, January 1994

Critical slowing down and error analysis in lattice QCD simulations
journal, April 2011

Finite volume QCD at fixed topological charge
journal, September 2007

Staggered chiral perturbation theory and the fourth-root trick
journal, June 2006

Flavor symmetry and the static potential with hypercubic blocking
journal, July 2001

Chiral perturbation theory: Expansions in the mass of the strange quark
journal, January 1985

Spectrum of confining strings in SU(N) gauge theories
journal, January 2002

Partial flavor symmetry restoration for chiral staggered fermions
journal, November 1999

Topological structure in the SU (2) vacuum
journal, November 1997

Instanton content of the SU(3) vacuum
journal, November 1998

Partially quenched chiral perturbation theory and the replica method
journal, August 2000

k -string tensions in $SU (N)$ gauge theories
journal, December 2001

Current algebra theorems for the U(1) “Goldstone boson”
journal, September 1979

Effective theory for quenched lattice QCD and the Aoki phase
journal, May 2005

Heavy Quark Physics
book, January 2009

Topological susceptibility in staggered fermion chiral perturbation theory
journal, October 2004

XSEDE: Accelerating Scientific Discovery
journal, September 2014

Computation of the quantum effects due to a four-dimensional pseudoparticle
journal, December 1976

Chiral perturbation theory in a $θ$ vacuum
journal, February 2010

Spectrum of Dirac operator and role of winding number in QCD
journal, December 1992

$B$ - and $D$ -meson decay constants from three-flavor lattice QCD
journal, June 2012

Chiral perturbation theory for all-staggered heavy-light mesons
journal, November 2013

Partially quenched chiral perturbation theory without $Φ_{0}$
journal, November 2001

Staggered chiral perturbation theory
journal, March 2004

Erratum: Properties and uses of the Wilson flow in lattice QCD
journal, March 2014

Properties and uses of the Wilson flow in lattice QCD
journal, August 2010

θ dependence of SU( N ) gauge theories
journal, August 2002

Pseudoscalar decay constants in staggered chiral perturbation theory
journal, October 2003