Centre vortex removal restores chiral symmetry

Trewartha, Daniel; Kamleh, Waseem; Leinweber, Derek B.

doi:10.1088/1361-6471/aa9443

Title: Centre vortex removal restores chiral symmetry

Abstract

The influence of centre vortices on dynamical chiral symmetry breaking is investigated through the light hadron spectrum on the lattice. Recent studies of the quark propagator and other quantities have provided evidence that centre vortices are the fundamental objects underpinning dynamical chiral symmetry breaking in SU(3) gauge theory. For the first time, we use the chiral overlap fermion action to study the low-lying hadron spectrum on lattice ensembles consisting of Monte Carlo, vortex-removed, and vortex-projected gauge fields. We find that gauge field configurations consisting solely of smoothed centre vortices are capable of reproducing all the salient features of the hadron spectrum, including dynamical chiral symmetry breaking. In conclusion, the hadron spectrum on vortex-removed fields shows clear signals of chiral symmetry restoration at light values of the bare quark mass, while at heavy masses the spectrum is consistent with a theory of weakly-interacting constituent quarks.

Authors:

^[1]; Kamleh, Waseem ^[2]; Leinweber, Derek B. ^[2]

Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States); Univ. of Adelaide (Australia)
Univ. of Adelaide (Australia)

Publication Date:: Wed Nov 15 00:00:00 EST 2017

Research Org.:: Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States)

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

OSTI Identifier:: 1417839

Report Number(s):: JLAB-THY-18-2625; DOE/OR/23177-4320; arXiv:1708.06789
Journal ID: ISSN 0954-3899

Grant/Contract Number:: DP120104627; LE120100181

Resource Type:: Accepted Manuscript

Journal Name:: Journal of Physics. G, Nuclear and Particle Physics

Additional Journal Information:: Journal Volume: 44; Journal Issue: 12; Journal ID: ISSN 0954-3899

Publisher:: IOP Publishing

Country of Publication:: United States

Language:: English

Subject:: 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; chiral symmetry; vacuum structure; center vortices

Citation Formats


                    Trewartha, Daniel, Kamleh, Waseem, and Leinweber, Derek B. Centre vortex removal restores chiral symmetry.  United States: N. p., 2017. 
Web.  doi:10.1088/1361-6471/aa9443.

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                    Trewartha, Daniel, Kamleh, Waseem, & Leinweber, Derek B. Centre vortex removal restores chiral symmetry.  United States.  https://doi.org/10.1088/1361-6471/aa9443

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                    Trewartha, Daniel, Kamleh, Waseem, and Leinweber, Derek B. Wed .  
"Centre vortex removal restores chiral symmetry".  United States.  https://doi.org/10.1088/1361-6471/aa9443.  https://www.osti.gov/servlets/purl/1417839.

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@article{osti_1417839,

  title        = {Centre vortex removal restores chiral symmetry},

  author       = {Trewartha, Daniel and Kamleh, Waseem and Leinweber, Derek B.},

  abstractNote = {The influence of centre vortices on dynamical chiral symmetry breaking is investigated through the light hadron spectrum on the lattice. Recent studies of the quark propagator and other quantities have provided evidence that centre vortices are the fundamental objects underpinning dynamical chiral symmetry breaking in SU(3) gauge theory. For the first time, we use the chiral overlap fermion action to study the low-lying hadron spectrum on lattice ensembles consisting of Monte Carlo, vortex-removed, and vortex-projected gauge fields. We find that gauge field configurations consisting solely of smoothed centre vortices are capable of reproducing all the salient features of the hadron spectrum, including dynamical chiral symmetry breaking. In conclusion, the hadron spectrum on vortex-removed fields shows clear signals of chiral symmetry restoration at light values of the bare quark mass, while at heavy masses the spectrum is consistent with a theory of weakly-interacting constituent quarks.},

  doi          = {10.1088/1361-6471/aa9443},

  journal      = {Journal of Physics. G, Nuclear and Particle Physics},

  number       = 12,

  volume       = 44,

  place        = {United States},

  year         = {Wed Nov 15 00:00:00 EST 2017},

  month        = {Wed Nov 15 00:00:00 EST 2017}

}

Copy to clipboard

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https://doi.org/10.1088/1361-6471/aa9443

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Works referencing / citing this record:

Publicising Lattice Field Theory through Visualisation
preprint, January 2019

Biddle, James; Charvetto, Josh; Kamleh, Waseem
arXiv
DOI: 10.48550/arxiv.1903.08308

Chiral Symmetry Breaking on the Lattice
text, January 2019

Faber, Manfried; Höllwieser, Roman
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Visualizations of Centre Vortex Structure in Lattice Simulations
preprint, January 2019

Biddle, James C.; Kamleh, Waseem; Leinweber, Derek B.
arXiv
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Title: Centre vortex removal restores chiral symmetry

Abstract

Citation Formats

On the phase transition towards permanent quark confinement journal, June 1978

A property of electric and magnetic flux in non-Abelian gauge theories journal, January 1979

Quark confinement and vortices in massive gauge-invariant QCD journal, October 1979

A quantum liquid model for the QCD vacuum journal, December 1979

A color magnetic vortex condensate in QCD journal, October 1980

Fluxon solutions in non-abellian gauge models journal, October 1978

Z(N) topological excitations in Yang-Mills theories: duality and confinement journal, November 1978

Comparison of lattice gauge theories with gauge groups Z2 and SU(2) journal, December 1979

Center dominance and Z 2 vortices in SU(2) lattice gauge theory journal, February 1997

Detection of center vortices in the lattice Yang-Mills vacuum journal, September 1998

Interaction of confining vortices in SU(2) lattice gauge theory journal, July 1998

Confinement and scaling of the vortex vacuum of SU(2) lattice gauge theory journal, February 1998

Vortices and confinement at weak coupling journal, April 1998

Relevance of Center Vortices to QCD journal, June 1999

Vortex structures in pureSU(3)lattice gauge theory journal, January 2004

Center vortices and the quark propagator in SU(2) gauge theory journal, September 2008

Center vortex model for the infrared sector of Yang–Mills theory—quenched Dirac spectrum and chiral condensate journal, August 2002

Interrelation between monopoles, vortices, topological charge, and chiral symmetry breaking: Analysis using overlap fermions for S U ( 2 ) journal, April 2008

Center vortices and the Dirac spectrum journal, September 2008

Center vortices and chiral symmetry breaking in S U ( 2 ) lattice gauge theory journal, December 2013

The role of center vortices in QCD journal, January 2000

On topological properties of vacuum defects in lattice Yang–Mills theories journal, May 2007

Center vortices and Dirac eigenmodes in SU(2) lattice gauge theory journal, June 2005

Role of center vortices in chiral symmetry breaking in SU(3) gauge theory journal, August 2011

SU(3)center vortices underpin confinement and dynamical chiral symmetry breaking journal, September 2012

Evidence that centre vortices underpin dynamical chiral symmetry breaking in SU(3) gauge theory journal, July 2015

Connection between center vortices and instantons through gauge-field smoothing journal, October 2015

On-shell improved lattice gauge theories journal, March 1985

Hadron masses from novel fat-link fermion actions journal, March 2002

Fat link irrelevant clover overlap quark propagator journal, May 2005

Hybrid Monte Carlo algorithm with fat link fermion actions journal, July 2004

Accelerated overlap fermions journal, July 2002

A study of smearing techniques for hadron correlation functions journal, September 1990

Spatially improved operators for excited hadrons on the lattice journal, September 2004

How to calculate the elastic scattering matrix in two-dimensional quantum field theories by numerical simulation journal, July 1990

Adjoint sources in lattice gauge theory journal, September 1985

Instanton contributions to the low-lying hadron mass spectrum journal, November 2015

Chiral loops and ghost states in the quenched scalar propagator journal, December 2001

Chiral multiplets of hadron currents journal, June 1997

Publicising Lattice Field Theory through Visualisation preprint, January 2019

Chiral Symmetry Breaking on the Lattice text, January 2019

Visualizations of Centre Vortex Structure in Lattice Simulations preprint, January 2019

On the phase transition towards permanent quark confinement
journal, June 1978

A property of electric and magnetic flux in non-Abelian gauge theories
journal, January 1979

Quark confinement and vortices in massive gauge-invariant QCD
journal, October 1979

A quantum liquid model for the QCD vacuum
journal, December 1979

A color magnetic vortex condensate in QCD
journal, October 1980

Fluxon solutions in non-abellian gauge models
journal, October 1978

Z(N) topological excitations in Yang-Mills theories: duality and confinement
journal, November 1978

Comparison of lattice gauge theories with gauge groups Z2 and SU(2)
journal, December 1979

Center dominance and $Z_{2}$ vortices in SU(2) lattice gauge theory
journal, February 1997

Detection of center vortices in the lattice Yang-Mills vacuum
journal, September 1998

Interaction of confining vortices in SU(2) lattice gauge theory
journal, July 1998

Confinement and scaling of the vortex vacuum of SU(2) lattice gauge theory
journal, February 1998

Vortices and confinement at weak coupling
journal, April 1998

Relevance of Center Vortices to QCD
journal, June 1999

Vortex structures in pureSU(3)lattice gauge theory
journal, January 2004

Center vortices and the quark propagator in SU(2) gauge theory
journal, September 2008

Center vortex model for the infrared sector of Yang–Mills theory—quenched Dirac spectrum and chiral condensate
journal, August 2002

Interrelation between monopoles, vortices, topological charge, and chiral symmetry breaking: Analysis using overlap fermions for $S U (2)$
journal, April 2008

Center vortices and the Dirac spectrum
journal, September 2008

Center vortices and chiral symmetry breaking in $S U (2)$ lattice gauge theory
journal, December 2013

The role of center vortices in QCD
journal, January 2000

On topological properties of vacuum defects in lattice Yang–Mills theories
journal, May 2007

Center vortices and Dirac eigenmodes in SU(2) lattice gauge theory
journal, June 2005

Role of center vortices in chiral symmetry breaking in SU(3) gauge theory
journal, August 2011

SU(3)center vortices underpin confinement and dynamical chiral symmetry breaking
journal, September 2012

Evidence that centre vortices underpin dynamical chiral symmetry breaking in SU(3) gauge theory
journal, July 2015

Connection between center vortices and instantons through gauge-field smoothing
journal, October 2015

On-shell improved lattice gauge theories
journal, March 1985

Hadron masses from novel fat-link fermion actions
journal, March 2002

Fat link irrelevant clover overlap quark propagator
journal, May 2005

Hybrid Monte Carlo algorithm with fat link fermion actions
journal, July 2004

Accelerated overlap fermions
journal, July 2002

A study of smearing techniques for hadron correlation functions
journal, September 1990

Spatially improved operators for excited hadrons on the lattice
journal, September 2004

How to calculate the elastic scattering matrix in two-dimensional quantum field theories by numerical simulation
journal, July 1990

Adjoint sources in lattice gauge theory
journal, September 1985

Instanton contributions to the low-lying hadron mass spectrum
journal, November 2015

Chiral loops and ghost states in the quenched scalar propagator
journal, December 2001

Chiral multiplets of hadron currents
journal, June 1997

Publicising Lattice Field Theory through Visualisation
preprint, January 2019

Chiral Symmetry Breaking on the Lattice
text, January 2019

Visualizations of Centre Vortex Structure in Lattice Simulations
preprint, January 2019