Finite temperature properties of QCD with two flavors and three, four, and five colors

DeGrand, Thomas

doi:10.1103/PhysRevD.103.094513

Title: Finite temperature properties of QCD with two flavors and three, four, and five colors

Abstract

I present a numerical study of the crossover between the low temperature chirally broken phase and the high temperature chirally restored phase in SU(N_c) gauge theory with N_c = 3–5 colors and N_f = 2 degenerate fermion flavors. Fermion masses span a range of intermediate values corresponding to pseudoscalar to vector meson masses (m_PS/m_V)² ~ 0.25–0.63. Here, observables include the temperature-dependent chiral condensate and screening masses. At each fermion mass these quantities show nearly identical temperature dependence across N_c.

Authors:

Publication Date:: Mon May 24 00:00:00 EDT 2021

Research Org.:: Univ. of Colorado, Boulder, CO (United States)

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

OSTI Identifier:: 1784460

Alternate Identifier(s):: OSTI ID: 1784715

Grant/Contract Number:: SC-0010005; AC02-07CH11359; SC0010005

Resource Type:: Published Article

Journal Name:: Physical Review D

Additional Journal Information:: Journal Name: Physical Review D Journal Volume: 103 Journal Issue: 9; Journal ID: ISSN 2470-0010

Publisher:: American Physical Society

Country of Publication:: United States

Language:: English

Subject:: 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; elementary particle physics; finite temperature qcd; lattice field theory

Citation Formats


                    DeGrand, Thomas. Finite temperature properties of QCD with two flavors and three, four, and five colors.  United States: N. p., 2021. 
Web.  doi:10.1103/PhysRevD.103.094513.

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                    DeGrand, Thomas. Finite temperature properties of QCD with two flavors and three, four, and five colors.  United States.  https://doi.org/10.1103/PhysRevD.103.094513

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                    DeGrand, Thomas. Mon .  
"Finite temperature properties of QCD with two flavors and three, four, and five colors".  United States.  https://doi.org/10.1103/PhysRevD.103.094513.

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@article{osti_1784460,

  title        = {Finite temperature properties of QCD with two flavors and three, four, and five colors},

  author       = {DeGrand, Thomas},

  abstractNote = {I present a numerical study of the crossover between the low temperature chirally broken phase and the high temperature chirally restored phase in SU(Nc) gauge theory with Nc = 3–5 colors and Nf = 2 degenerate fermion flavors. Fermion masses span a range of intermediate values corresponding to pseudoscalar to vector meson masses (mPS/mV)2 ~ 0.25–0.63. Here, observables include the temperature-dependent chiral condensate and screening masses. At each fermion mass these quantities show nearly identical temperature dependence across Nc.},

  doi          = {10.1103/PhysRevD.103.094513},

  journal      = {Physical Review D},

  number       = 9,

  volume       = 103,

  place        = {United States},

  year         = {Mon May 24 00:00:00 EDT 2021},

  month        = {Mon May 24 00:00:00 EDT 2021}

}

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Lucini, Biagio; Rago, Antonio; Rinaldi, Enrico
Physics Letters B, Vol. 712, Issue 3
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Title: Finite temperature properties of QCD with two flavors and three, four, and five colors

Abstract

Citation Formats

The strategy for computing the hadronic mass spectrum journal, January 1984

Properties of the deconfining phase transition in SU(N) gauge theories journal, February 2005

Thermodynamics of the QCD Plasma and the Large- N Limit journal, December 2009

Probing the finite temperature phase transition with N f = 2 nonperturbatively improved Wilson fermions journal, July 2010

Nonleptonic kaon decays at large N c journal, December 2016

Trivializing Maps, the Wilson Flow and the HMC Algorithm journal, November 2009

Hybrid Stochastic Differential Equations Applied to Quantum Chromodynamics journal, December 1985

Lattice QCD Thermodynamics with Physical Quark Masses journal, October 2015

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Speeding up the hybrid Monte Carlo algorithm for dynamical fermions journal, October 2001

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

HMC algorithm with multiple time scale integration and mass preconditioning journal, January 2006

Kaon matrix elements and CP violation from quenched lattice QCD: The 3-flavor case journal, December 2003

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Exponential hadronic spectrum and quark liberation journal, October 1975

Deconfinement critical point of lattice QCD with N f = 2 Wilson fermions journal, January 2021

Equation of state and heavy-quark free energy at finite temperature and density in two flavor lattice QCD with Wilson quark action journal, July 2010

A two-dimensional model for mesons journal, June 1974

QCD thermodynamics with continuum extrapolated Wilson fermions. II. journal, July 2015

Topological susceptibility in QCD with two flavors and 3-5 colors: A pilot study journal, June 2020

Large $N_ c$ in chiral perturbation theory journal, December 2000

Hypercubic smeared links for dynamical fermions journal, May 2007

Hadronic matter near the boiling point journal, August 1968

Sensitivity of the Polyakov loop and related observables to chiral symmetry restoration journal, January 2021

Quenched chiral logarithms journal, October 1992

Remarks on the chiral phase transition in chromodynamics journal, January 1984

Hybrid-molecular-dynamics algorithms for the numerical simulation of quantum chromodynamics journal, April 1987

A new way to set the energy scale in lattice gauge theories and its application to the static force and σs in SU (2) Yang-Mills theory journal, January 1994

A planar diagram theory for strong interactions journal, April 1974

Large $$N_c$$Nc scaling of meson masses and decay constants journal, October 2019

Kaon B -parameter from quenched domain-wall QCD journal, May 2006

The theory of hybrid stochastic algorithms journal, November 1986

QCD thermodynamics with continuum extrapolated Wilson fermions I journal, August 2012

Baryons in the expansion journal, November 1979

SU(4) lattice gauge theory with decuplet fermions: Schrödinger functional analysis journal, April 2012

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

The QCD chiral condensate from the lattice journal, January 1999

gauge theories at large journal, May 2013

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

Infinite N phase transitions in continuum Wilson loop operators journal, March 2006

Erratum: Lattice study of large N c QCD [Phys. Rev. D 94 , 034506 (2016)] journal, January 2017

Lattice baryons in the 1 / N expansion journal, August 2012

Lattice study of large N c QCD journal, August 2016

Equation of state in finite-temperature QCD with two flavors of improved Wilson quarks journal, September 2001

Dissecting the $$\Delta I=1/2$$ rule at large $$N_c$$ journal, July 2020

The strategy for computing the hadronic mass spectrum
journal, January 1984

Properties of the deconfining phase transition in SU(N) gauge theories
journal, February 2005

Thermodynamics of the QCD Plasma and the Large- $N$ Limit
journal, December 2009

Probing the finite temperature phase transition with $N_{f} = 2$ nonperturbatively improved Wilson fermions
journal, July 2010

Nonleptonic kaon decays at large $N_{c}$
journal, December 2016

Trivializing Maps, the Wilson Flow and the HMC Algorithm
journal, November 2009

Hybrid Stochastic Differential Equations Applied to Quantum Chromodynamics
journal, December 1985

Lattice QCD Thermodynamics with Physical Quark Masses
journal, October 2015

The large $$N_{c}$$ limit of QCD on the lattice
journal, February 2021

Speeding up the hybrid Monte Carlo algorithm for dynamical fermions
journal, October 2001

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

HMC algorithm with multiple time scale integration and mass preconditioning
journal, January 2006

Kaon matrix elements and CP violation from quenched lattice QCD: The 3-flavor case
journal, December 2003

Testing and tuning symplectic integrators for the hybrid Monte Carlo algorithm in lattice QCD
journal, March 2006

Exponential hadronic spectrum and quark liberation
journal, October 1975

Deconfinement critical point of lattice QCD with $N_{f} = 2$ Wilson fermions
journal, January 2021

Equation of state and heavy-quark free energy at finite temperature and density in two flavor lattice QCD with Wilson quark action
journal, July 2010

A two-dimensional model for mesons
journal, June 1974

QCD thermodynamics with continuum extrapolated Wilson fermions. II.
journal, July 2015

Topological susceptibility in QCD with two flavors and 3-5 colors: A pilot study
journal, June 2020

Large $N_ c$ in chiral perturbation theory
journal, December 2000

Hypercubic smeared links for dynamical fermions
journal, May 2007

Hadronic matter near the boiling point
journal, August 1968

Sensitivity of the Polyakov loop and related observables to chiral symmetry restoration
journal, January 2021

Quenched chiral logarithms
journal, October 1992

Remarks on the chiral phase transition in chromodynamics
journal, January 1984

Hybrid-molecular-dynamics algorithms for the numerical simulation of quantum chromodynamics
journal, April 1987

A new way to set the energy scale in lattice gauge theories and its application to the static force and σs in SU (2) Yang-Mills theory
journal, January 1994

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journal, April 1974

Large $$N_c$$Nc scaling of meson masses and decay constants
journal, October 2019

Kaon $B$ -parameter from quenched domain-wall QCD
journal, May 2006

The theory of hybrid stochastic algorithms
journal, November 1986

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journal, August 2012

Baryons in the expansion
journal, November 1979

SU(4) lattice gauge theory with decuplet fermions: Schrödinger functional analysis
journal, April 2012

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

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journal, January 1999

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journal, May 2013

Properties and uses of the Wilson flow in lattice QCD
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