Nonperturbative β function of eight-flavor SU(3) gauge theory

Hasenfratz, Anna; Schaich, David; Veernala, Aarti

doi:10.1007/JHEP06(2015)143

Title: Nonperturbative β function of eight-flavor SU(3) gauge theory

Abstract

We present a new lattice study of the discrete β function for SU(3) gauge theory with N _f = 8 massless flavors of fermions in the fundamental representation. Using the gradient flow running coupling, and comparing two different nHYP-smeared staggered lattice actions, we calculate the 8-flavor step-scaling function at significantly stronger couplings than were previously accessible. Our continuum-extrapolated results for the discrete β function show no sign of an IR fixed point up to couplings of g ² ≈ 14. At the same time, we find that the gradient flow coupling runs much more slowly than predicted by two-loop perturbation theory, reinforcing previous indications that the 8-flavor system possesses nontrivial strongly coupled IR dynamics with relevance to BSM phenomenology.

Authors:

Hasenfratz, Anna ^[1]; Schaich, David ^[2]; Veernala, Aarti ^[2]

Univ. of Colorado, Boulder, CO (United States). Dept. of Physics
Syracuse Univ., NY (United States). Dept. of Physics

Publication Date:: Mon Jun 22 00:00:00 EDT 2015

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

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

OSTI Identifier:: 1455124

Grant/Contract Number:: SC0008669; SC0009998; SC0010005; CNS-0821794

Resource Type:: Accepted Manuscript

Journal Name:: Journal of High Energy Physics (Online)

Additional Journal Information:: Journal Name: Journal of High Energy Physics (Online); Journal Volume: 2015; Journal Issue: 6; Journal ID: ISSN 1029-8479

Publisher:: Springer Berlin

Country of Publication:: United States

Language:: English

Subject:: 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; lattice gauge field theories; renormalization group; technicolor and composite models

Citation Formats


                    Hasenfratz, Anna, Schaich, David, and Veernala, Aarti. Nonperturbative β function of eight-flavor SU(3) gauge theory.  United States: N. p., 2015. 
Web.  doi:10.1007/JHEP06(2015)143.

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                    Hasenfratz, Anna, Schaich, David, & Veernala, Aarti. Nonperturbative β function of eight-flavor SU(3) gauge theory.  United States.  https://doi.org/10.1007/JHEP06(2015)143

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                    Hasenfratz, Anna, Schaich, David, and Veernala, Aarti. Mon .  
"Nonperturbative β function of eight-flavor SU(3) gauge theory".  United States.  https://doi.org/10.1007/JHEP06(2015)143.  https://www.osti.gov/servlets/purl/1455124.

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@article{osti_1455124,

  title        = {Nonperturbative β function of eight-flavor SU(3) gauge theory},

  author       = {Hasenfratz, Anna and Schaich, David and Veernala, Aarti},

  abstractNote = {We present a new lattice study of the discrete β function for SU(3) gauge theory with N f = 8 massless flavors of fermions in the fundamental representation. Using the gradient flow running coupling, and comparing two different nHYP-smeared staggered lattice actions, we calculate the 8-flavor step-scaling function at significantly stronger couplings than were previously accessible. Our continuum-extrapolated results for the discrete β function show no sign of an IR fixed point up to couplings of g 2 ≈ 14. At the same time, we find that the gradient flow coupling runs much more slowly than predicted by two-loop perturbation theory, reinforcing previous indications that the 8-flavor system possesses nontrivial strongly coupled IR dynamics with relevance to BSM phenomenology.},

  doi          = {10.1007/JHEP06(2015)143},

  journal      = {Journal of High Energy Physics (Online)},

  number       = 6,

  volume       = 2015,

  place        = {United States},

  year         = {Mon Jun 22 00:00:00 EDT 2015},

  month        = {Mon Jun 22 00:00:00 EDT 2015}

}

Copy to clipboard

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Addressing the B-physics anomalies in a fundamental Composite Higgs model
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Title: Nonperturbative β function of eight-flavor SU(3) gauge theory

Abstract

Citation Formats

Scale-Invariant Hypercolor Model and a Dilaton journal, March 1986

The lattice gradient flow at tree-level and its improvement journal, September 2014

Scale-dependent mass anomalous dimension from Dirac eigenmodes journal, July 2013

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

Light composite scalar in eight-flavor QCD on the lattice journal, June 2014

Lattice simulations with eight flavors of domain wall fermions in SU(3) gauge theory journal, December 2014

The Yang-Mills gradient flow in finite volume journal, November 2012

Improving the continuum limit of gradient flow step scaling journal, May 2014

The physics of eight flavours journal, December 2008

Asymptotic Behavior of Non-Abelian Gauge Theories to Two-Loop Order journal, July 1974

Lattice Monte Carlo study of pre-conformal dynamics in strongly flavoured QCD in the light of the chiral phase transition at finite temperature journal, June 2013

Zero Temperature Chiral Phase Transition in SU( N ) Gauge Theories journal, August 1996

Parity Doubling and the S Parameter below the Conformal Window journal, June 2011

Composite Higgs from higher representations journal, September 2004

Determining the conformal window: SU(2) gauge theory with N f = 4, 6 and 10 fermion flavours journal, May 2012

On the phase structure of vector-like gauge theories with massless fermions journal, March 1982

Chiral Hierarchies and Flavor-Changing Neutral Currents in Hypercolor journal, August 1986

On the particle spectrum and the conformal window journal, December 2014

Discovering Technicolor journal, September 2011

Lattice Study of the Conformal Window in QCD-like Theories journal, April 2008

Light Composite Scalar in Twelve-Flavor QCD on the Lattice journal, October 2013

Nearly conformal gauge theories in finite volume journal, November 2009

The gradient flow coupling in the Schrödinger functional journal, October 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

Bulk and finite- temperature transitions in SU(3) gauge theories with many light fermions conference, December 2012

The physics of eight flavours conference, June 2009

Lattice Study of the Conformal Window in QCD-like Theories text, January 2007

The physics of eight flavours text, January 2008

Nearly conformal gauge theories in finite volume text, January 2009

Properties and uses of the Wilson flow in lattice QCD text, January 2010

Parity Doubling and the S Parameter Below the Conformal Window text, January 2010

Determining the conformal window: SU(2) gauge theory with N_f = 4, 6 and 10 fermion flavours text, January 2011

Lattice Monte-Carlo study of pre-conformal dynamics in strongly flavoured QCD in the light of the chiral phase transition at finite temperature text, January 2012

Light composite scalar in eight-flavor QCD on the lattice text, January 2014

Improving the continuum limit of gradient flow step scaling text, January 2014

The lattice gradient flow at tree-level and its improvement text, January 2014

On the particle spectrum and the conformal window text, January 2014

Composite Higgs from Higher Representations text, January 2004

Addressing the B-physics anomalies in a fundamental Composite Higgs model journal, July 2018

Gravitational waves from walking technicolor journal, October 2019

A new method for the beta function in the chiral symmetry broken phase journal, January 2018

QCD fixed points: Banks–Zaks scenario or dynamical gluon mass generation? journal, January 2017

Nonperturbative β function of twelve-flavor SU(3) gauge theory text, January 2018

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

Low-energy effective action for pions and a dilatonic meson text, January 2016

QCD fixed points: Banks-Zaks scenario or dynamical gluon mass generation? text, January 2016

Strong dynamics, composite Higgs and the conformal window text, January 2016

Nonperturbative beta function of twelve-flavor SU(3) gauge theory text, January 2016

Infrared fixed point of SU(2) gauge theory with six flavors text, January 2017

Addressing the B-physics anomalies in a fundamental Composite Higgs Model text, January 2018

Scale-Invariant Hypercolor Model and a Dilaton
journal, March 1986

The lattice gradient flow at tree-level and its improvement
journal, September 2014

Scale-dependent mass anomalous dimension from Dirac eigenmodes
journal, July 2013

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

Light composite scalar in eight-flavor QCD on the lattice
journal, June 2014

Lattice simulations with eight flavors of domain wall fermions in SU(3) gauge theory
journal, December 2014

The Yang-Mills gradient flow in finite volume
journal, November 2012

Improving the continuum limit of gradient flow step scaling
journal, May 2014

The physics of eight flavours
journal, December 2008

Asymptotic Behavior of Non-Abelian Gauge Theories to Two-Loop Order
journal, July 1974

Lattice Monte Carlo study of pre-conformal dynamics in strongly flavoured QCD in the light of the chiral phase transition at finite temperature
journal, June 2013

Zero Temperature Chiral Phase Transition in SU( N ) Gauge Theories
journal, August 1996

Parity Doubling and the $S$ Parameter below the Conformal Window
journal, June 2011

Composite Higgs from higher representations
journal, September 2004

Determining the conformal window: SU(2) gauge theory with N f = 4, 6 and 10 fermion flavours
journal, May 2012

On the phase structure of vector-like gauge theories with massless fermions
journal, March 1982

Chiral Hierarchies and Flavor-Changing Neutral Currents in Hypercolor
journal, August 1986

On the particle spectrum and the conformal window
journal, December 2014

Discovering Technicolor
journal, September 2011

Lattice Study of the Conformal Window in QCD-like Theories
journal, April 2008

Light Composite Scalar in Twelve-Flavor QCD on the Lattice
journal, October 2013

Nearly conformal gauge theories in finite volume
journal, November 2009

The gradient flow coupling in the Schrödinger functional
journal, October 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

Bulk and finite- temperature transitions in SU(3) gauge theories with many light fermions
conference, December 2012

The physics of eight flavours
conference, June 2009

Lattice Study of the Conformal Window in QCD-like Theories
text, January 2007

The physics of eight flavours
text, January 2008

Nearly conformal gauge theories in finite volume
text, January 2009

Properties and uses of the Wilson flow in lattice QCD
text, January 2010

Parity Doubling and the S Parameter Below the Conformal Window
text, January 2010

Determining the conformal window: SU(2) gauge theory with N_f = 4, 6 and 10 fermion flavours
text, January 2011

Lattice Monte-Carlo study of pre-conformal dynamics in strongly flavoured QCD in the light of the chiral phase transition at finite temperature
text, January 2012

Light composite scalar in eight-flavor QCD on the lattice
text, January 2014

Improving the continuum limit of gradient flow step scaling
text, January 2014

The lattice gradient flow at tree-level and its improvement
text, January 2014

On the particle spectrum and the conformal window
text, January 2014

Composite Higgs from Higher Representations
text, January 2004

Addressing the B-physics anomalies in a fundamental Composite Higgs model
journal, July 2018

Gravitational waves from walking technicolor
journal, October 2019

A new method for the beta function in the chiral symmetry broken phase
journal, January 2018

QCD fixed points: Banks–Zaks scenario or dynamical gluon mass generation?
journal, January 2017

Nonperturbative β function of twelve-flavor SU(3) gauge theory
text, January 2018

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

Low-energy effective action for pions and a dilatonic meson
text, January 2016

QCD fixed points: Banks-Zaks scenario or dynamical gluon mass generation?
text, January 2016

Strong dynamics, composite Higgs and the conformal window
text, January 2016

Nonperturbative beta function of twelve-flavor SU(3) gauge theory
text, January 2016

Infrared fixed point of SU(2) gauge theory with six flavors
text, January 2017

Addressing the B-physics anomalies in a fundamental Composite Higgs Model
text, January 2018