ε -regime of dilaton chiral perturbation theory

Brown, Taro V.; Golterman, Maarten; Krøjer, Svend; Shamir, Yigal; Splittorff, K.

doi:10.1103/PhysRevD.100.114515

Title: $ε$ -regime of dilaton chiral perturbation theory

Abstract

The ϵ-regime of dilaton chiral perturbation theory is introduced. We compute the dilaton mass, the chiral condensate and the topological susceptibility in the ϵ-regime, as a function of the fermion mass. The microscopic spectral density of the Dirac operator is obtained from dilaton chiral perturbation theory. Our main result is that the chiral condensate and the spectral density are related to their counterparts from ordinary chiral perturbation theory via a simple scaling relation. This relation originates from the mass dependence of the dilaton potential, and is valid in both the ϵ-regime and the p-regime. In the ϵ-regime, moreover, all results agree with the universal predictions to leading order in ϵ.

Authors:

;

Publication Date:: 2019-12-24

Research Org.:: San Francisco State Univ., CA (United States)

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

OSTI Identifier:: 1580306

Alternate Identifier(s):: OSTI ID: 1594603

Report Number(s):: arXiv:1909.10796v1
Journal ID: ISSN 2470-0010; PRVDAQ; 114515

Grant/Contract Number:: SC0013682; 491/17

Resource Type:: Published Article

Journal Name:: Physical Review D

Additional Journal Information:: Journal Name: Physical Review D Journal Volume: 100 Journal Issue: 11; 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; conformal field theory; effective field theory; Lattice field theory; nonperturbative effects in field theory

Citation Formats


                    Brown, Taro V., Golterman, Maarten, Krøjer, Svend, Shamir, Yigal, and Splittorff, K. ε -regime of dilaton chiral perturbation theory.  United States: N. p., 2019. 
Web.  doi:10.1103/PhysRevD.100.114515.

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                    Brown, Taro V., Golterman, Maarten, Krøjer, Svend, Shamir, Yigal, & Splittorff, K. ε -regime of dilaton chiral perturbation theory.  United States.  https://doi.org/10.1103/PhysRevD.100.114515

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                    Brown, Taro V., Golterman, Maarten, Krøjer, Svend, Shamir, Yigal, and Splittorff, K. Tue .  
"ε -regime of dilaton chiral perturbation theory".  United States.  https://doi.org/10.1103/PhysRevD.100.114515.

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@article{osti_1580306,

  title        = {ε -regime of dilaton chiral perturbation theory},

  author       = {Brown, Taro V. and Golterman, Maarten and Krøjer, Svend and Shamir, Yigal and Splittorff, K.},

  abstractNote = {The ϵ-regime of dilaton chiral perturbation theory is introduced. We compute the dilaton mass, the chiral condensate and the topological susceptibility in the ϵ-regime, as a function of the fermion mass. The microscopic spectral density of the Dirac operator is obtained from dilaton chiral perturbation theory. Our main result is that the chiral condensate and the spectral density are related to their counterparts from ordinary chiral perturbation theory via a simple scaling relation. This relation originates from the mass dependence of the dilaton potential, and is valid in both the ϵ-regime and the p-regime. In the ϵ-regime, moreover, all results agree with the universal predictions to leading order in ϵ.},

  doi          = {10.1103/PhysRevD.100.114515},

  journal      = {Physical Review D},

  number       = 11,

  volume       = 100,

  place        = {United States},

  year         = {2019},

  month        = {12}

}

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Title: ε -regime of dilaton chiral perturbation theory

Abstract

Citation Formats

The twelve-flavor β-function and dilaton tests of the sextet scalar journal, January 2018

The chiral condensate in a finite volume journal, January 2009

Stability of lattice QCD simulations and the thermodynamic limit journal, February 2006

Finite-volume correction to the pion decay constant in the ϵ-regime journal, December 2007

Light quarks at low temperatures journal, January 1987

QCD with light Wilson quarks on fine lattices (I): first experiences and physics results journal, February 2007

Exploring the Aoki regime journal, June 2013

Replica Limit of the Toda Lattice Equation journal, January 2003

Spectral properties of the Wilson-Dirac operator and random matrix theory journal, November 2013

Eigenvalue Density of the Non-Hermitian Wilson Dirac Operator journal, January 2012

Phase of the Fermion Determinant at Nonzero Chemical Potential journal, January 2007

The microscopic spectral density of the QCD Dirac operator journal, May 1999

Observations on the Wilson fermions in the ϵ regime journal, February 2009

Low-energy effective action for pions and a dilatonic meson journal, September 2016

Realization of the Sharpe-Singleton scenario journal, May 2012

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

Factorization of correlation functions and the replica limit of the Toda lattice equation journal, April 2004

Spontaneous flavor and parity breaking with Wilson fermions journal, August 1998

Extending chiral perturbation theory with an isosinglet scalar journal, February 2017

Looking behind the Standard Model with lattice gauge theory journal, January 2018

Chiral perturbation theory to one loop journal, November 1984

Chiral perturbation theory for the Wilson lattice action journal, September 2002

Chiral Symmetry Breaking and the Dirac Spectrum at Nonzero Chemical Potential journal, May 2005

Strong dynamics, composite Higgs and the conformal window journal, August 2016

The epsilon regime with Wilson fermions journal, March 2009

Light flavor-singlet scalars and walking signals in N f = 8 QCD on the lattice journal, July 2017

Chiral symmetry breaking in confining theories journal, June 1980

Unquenched QCD Dirac operator spectra at nonzero baryon chemical potential journal, April 2005

Large-mass regime of the dilaton-pion low-energy effective theory journal, September 2018

Chiral perturbation theory at O ( a 2 ) for lattice QCD journal, August 2004

Statistical properties of the spectrum of the QCD Dirac operator at low energy journal, June 2001

Strongly interacting dynamics and the search for new physics at the LHC journal, June 2016

Aspects of dynamical symmetry breaking in gauge field theories journal, September 1989

Effective pion mass term and the trace anomaly journal, January 2017

Thermodynamics of chiral symmetry journal, April 1987

Sign problem via imaginary chemical potential journal, June 2007

On the supersymmetric partition function in QCD-inspired random matrix models journal, April 2003

Nonperturbative investigations of SU(3) gauge theory with eight dynamical flavors journal, January 2019

QCD sign problem for small chemical potential journal, June 2007

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

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

Dilaton EFT framework for lattice data journal, July 2017

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

Broken Chiral and Conformal Symmetry in an Effective-Lagrangian Formalism journal, August 1970

Aspects of conformal symmetry and chirality journal, September 1970

Microscopic Spectrum of the Wilson Dirac Operator journal, October 2010

Lattice tests of beyond standard model dynamics journal, January 2016

Dilaton Chiral Perturbation Theory: Determining the Mass and Decay Constant of the Technidilaton on the Lattice journal, August 2014

Finite size scaling of meson propagators with isospin chemical potential journal, December 2008

Analysis of a dilaton EFT for lattice data journal, March 2018

Title: $ε$ -regime of dilaton chiral perturbation theory

The twelve-flavor β-function and dilaton tests of the sextet scalar
journal, January 2018

The chiral condensate in a finite volume
journal, January 2009

Stability of lattice QCD simulations and the thermodynamic limit
journal, February 2006

Finite-volume correction to the pion decay constant in the ϵ-regime
journal, December 2007

Light quarks at low temperatures
journal, January 1987

QCD with light Wilson quarks on fine lattices (I): first experiences and physics results
journal, February 2007

Exploring the Aoki regime
journal, June 2013

Replica Limit of the Toda Lattice Equation
journal, January 2003

Spectral properties of the Wilson-Dirac operator and random matrix theory
journal, November 2013

Eigenvalue Density of the Non-Hermitian Wilson Dirac Operator
journal, January 2012

Phase of the Fermion Determinant at Nonzero Chemical Potential
journal, January 2007

The microscopic spectral density of the QCD Dirac operator
journal, May 1999

Observations on the Wilson fermions in the ϵ regime
journal, February 2009

Low-energy effective action for pions and a dilatonic meson
journal, September 2016

Realization of the Sharpe-Singleton scenario
journal, May 2012

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

Factorization of correlation functions and the replica limit of the Toda lattice equation
journal, April 2004

Spontaneous flavor and parity breaking with Wilson fermions
journal, August 1998

Extending chiral perturbation theory with an isosinglet scalar
journal, February 2017

Looking behind the Standard Model with lattice gauge theory
journal, January 2018

Chiral perturbation theory to one loop
journal, November 1984

Chiral perturbation theory for the Wilson lattice action
journal, September 2002

Chiral Symmetry Breaking and the Dirac Spectrum at Nonzero Chemical Potential
journal, May 2005

Strong dynamics, composite Higgs and the conformal window
journal, August 2016

The epsilon regime with Wilson fermions
journal, March 2009

Light flavor-singlet scalars and walking signals in $N_{f} = 8$ QCD on the lattice
journal, July 2017

Chiral symmetry breaking in confining theories
journal, June 1980

Unquenched QCD Dirac operator spectra at nonzero baryon chemical potential
journal, April 2005

Large-mass regime of the dilaton-pion low-energy effective theory
journal, September 2018

Chiral perturbation theory at $O {(a}^{2})$ for lattice QCD
journal, August 2004

Statistical properties of the spectrum of the QCD Dirac operator at low energy
journal, June 2001

Strongly interacting dynamics and the search for new physics at the LHC
journal, June 2016

Aspects of dynamical symmetry breaking in gauge field theories
journal, September 1989

Effective pion mass term and the trace anomaly
journal, January 2017

Thermodynamics of chiral symmetry
journal, April 1987

Sign problem via imaginary chemical potential
journal, June 2007

On the supersymmetric partition function in QCD-inspired random matrix models
journal, April 2003

Nonperturbative investigations of SU(3) gauge theory with eight dynamical flavors
journal, January 2019

QCD sign problem for small chemical potential
journal, June 2007

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

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

Dilaton EFT framework for lattice data
journal, July 2017

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

Broken Chiral and Conformal Symmetry in an Effective-Lagrangian Formalism
journal, August 1970

Aspects of conformal symmetry and chirality
journal, September 1970

Microscopic Spectrum of the Wilson Dirac Operator
journal, October 2010

Lattice tests of beyond standard model dynamics
journal, January 2016

Dilaton Chiral Perturbation Theory: Determining the Mass and Decay Constant of the Technidilaton on the Lattice
journal, August 2014

Finite size scaling of meson propagators with isospin chemical potential
journal, December 2008

Analysis of a dilaton EFT for lattice data
journal, March 2018