Simulations of S U ( 2 ) lattice gauge theory with dynamical reduced staggered fermions

Catterall, Simon; Butt, Nouman

doi:10.1103/PhysRevD.99.014505

Title: Simulations of $S U (2)$ lattice gauge theory with dynamical reduced staggered fermions

Abstract

We simulate SU(2) lattice gauge theory in four dimensions using dynamical reduced staggered fermions. The latter lead to two rather than four Dirac fermions in the continuum limit. We review the derivation and properties of reduced staggered fermions and show that in the case of fields in the fundamental representation of SU(2) the theory does not exhibit a sign problem and can be simulated using the rational hybrid monte carlo algorithm. We present results on lattices up to 16⁴ for a wide range of bare fermion masses. We find a single site condensate appears at strong coupling that spontaneously breaks the one global U(1) symmetry remaining in the reduced fermion action.

Authors:: Catterall, Simon; Butt, Nouman

Publication Date:: Mon Jan 14 00:00:00 EST 2019

Research Org.:: Syracuse Univ., NY (United States)

Sponsoring Org.:: USDOE Office of Science (SC), High Energy Physics (HEP)

OSTI Identifier:: 1490774

Alternate Identifier(s):: OSTI ID: 1611297

Grant/Contract Number:: SC0009998

Resource Type:: Published Article

Journal Name:: Physical Review. D.

Additional Journal Information:: Journal Name: Physical Review. D. Journal Volume: 99 Journal Issue: 1; Journal ID: ISSN 2470-0010

Publisher:: American Physical Society

Country of Publication:: United States

Language:: English

Subject:: 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; Astronomy & Astrophysics; Physics; Lattice field theory

Citation Formats


                    Catterall, Simon, and Butt, Nouman. Simulations of S U ( 2 ) lattice gauge theory with dynamical reduced staggered fermions.  United States: N. p., 2019. 
Web.  doi:10.1103/PhysRevD.99.014505.

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                    Catterall, Simon, & Butt, Nouman. Simulations of S U ( 2 ) lattice gauge theory with dynamical reduced staggered fermions.  United States.  https://doi.org/10.1103/PhysRevD.99.014505

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                    Catterall, Simon, and Butt, Nouman. Mon .  
"Simulations of S U ( 2 ) lattice gauge theory with dynamical reduced staggered fermions".  United States.  https://doi.org/10.1103/PhysRevD.99.014505.

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@article{osti_1490774,

  title        = {Simulations of S U ( 2 ) lattice gauge theory with dynamical reduced staggered fermions},

  author       = {Catterall, Simon and Butt, Nouman},

  abstractNote = {We simulate SU(2) lattice gauge theory in four dimensions using dynamical reduced staggered fermions. The latter lead to two rather than four Dirac fermions in the continuum limit. We review the derivation and properties of reduced staggered fermions and show that in the case of fields in the fundamental representation of SU(2) the theory does not exhibit a sign problem and can be simulated using the rational hybrid monte carlo algorithm. We present results on lattices up to 164 for a wide range of bare fermion masses. We find a single site condensate appears at strong coupling that spontaneously breaks the one global U(1) symmetry remaining in the reduced fermion action.},

  doi          = {10.1103/PhysRevD.99.014505},

  journal      = {Physical Review. D.},

  number       = 1,

  volume       = 99,

  place        = {United States},

  year         = {Mon Jan 14 00:00:00 EST 2019},

  month        = {Mon Jan 14 00:00:00 EST 2019}

}

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Works referenced in this record:

Fermion masses through four-fermion condensates
journal, October 2016

Ayyar, Venkitesh; Chandrasekharan, Shailesh
Journal of High Energy Physics, Vol. 2016, Issue 10
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$S O (4)$ invariant Higgs-Yukawa model with reduced staggered fermions
journal, December 2018

Butt, Nouman; Catterall, Simon; Schaich, David
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Fermion mass without symmetry breaking
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Catterall, Simon; Veernala, Aarti
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Symmetric Fermion Mass Generation as Deconfined Quantum Criticality
journal, February 2018

You, Yi-Zhuang; He, Yin-Chen; Xu, Cenke
Physical Review X, Vol. 8, Issue 1
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Topology and strong four fermion interactions in four dimensions
journal, May 2018

Catterall, Simon; Butt, Nouman
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Patterns of spontaneous chiral symmetry breaking in vectorlike gauge theories
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Massive fermions without fermion bilinear condensates
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Ayyar, Venkitesh; Chandrasekharan, Shailesh
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Novel phases in strongly coupled four-fermion theories
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Catterall, Simon; Schaich, David
Physical Review D, Vol. 96, Issue 3
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Title: Simulations of S U ( 2 ) lattice gauge theory with dynamical reduced staggered fermions

Abstract

Citation Formats

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Title: Simulations of $S U (2)$ lattice gauge theory with dynamical reduced staggered fermions

Fermion masses through four-fermion condensates
journal, October 2016

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journal, December 2018

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

Charm physics with highly improved staggered quarks
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