Perturbative thermal QCD: Formalism and applications

Ghiglieri, Jacopo; Kurkela, Aleksi; Strickland, Michael; Vuorinen, Aleksi

doi:10.1016/j.physrep.2020.07.004

Title: Perturbative thermal QCD: Formalism and applications

Abstract

In this review article, we discuss the current status and future prospects of perturbation theory as a means of studying the equilibrium thermodynamic and near-equilibrium transport properties of deconfined QCD matter. We begin with a brief introduction to the general topic, after which we review in some detail the foundations and modern techniques of the real- and imaginary-time formalisms of thermal field theory, covering e.g. the different bases used in the real-time formalism and the resummations required to deal with soft and collinear contributions. After this, we discuss the current status of applications of these techniques, including topics such as electromagnetic rates, transport coefficients, jet quenching, heavy quarks and quarkonia, and the Equations of State of hot quark–gluon plasma as well as cold and dense quark matter. Finally, we conclude with our view of the future directions of the field, i.e. how we anticipate perturbative calculations to contribute to our collective understanding of strongly interacting matter in the coming years.

Authors:

; Kurkela, Aleksi; Strickland, Michael; Vuorinen, Aleksi

Publication Date:: 2020-10-01

Research Org.:: Kent State Univ., Kent, OH (United States)

Sponsoring Org.:: USDOE Office of Science (SC), Nuclear Physics (NP); European Research Council (ERC); Academy of Finland

OSTI Identifier:: 1658664

Alternate Identifier(s):: OSTI ID: 1851805

Grant/Contract Number:: SC0013470; 725369; 1322507

Resource Type:: Published Article

Journal Name:: Physics Reports

Additional Journal Information:: Journal Name: Physics Reports Journal Volume: 880 Journal Issue: C; Journal ID: ISSN 0370-1573

Publisher:: Elsevier

Country of Publication:: Netherlands

Language:: English

Subject:: 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; quantum chromodynamics; thermal field theory; perturbation theory; real-time formalism; imaginary-time formalism

Citation Formats


                    Ghiglieri, Jacopo, Kurkela, Aleksi, Strickland, Michael, and Vuorinen, Aleksi. Perturbative thermal QCD: Formalism and applications.  Netherlands: N. p., 2020. 
Web.  doi:10.1016/j.physrep.2020.07.004.

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                    Ghiglieri, Jacopo, Kurkela, Aleksi, Strickland, Michael, & Vuorinen, Aleksi. Perturbative thermal QCD: Formalism and applications.  Netherlands.  https://doi.org/10.1016/j.physrep.2020.07.004

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                    Ghiglieri, Jacopo, Kurkela, Aleksi, Strickland, Michael, and Vuorinen, Aleksi. Thu .  
"Perturbative thermal QCD: Formalism and applications".  Netherlands.  https://doi.org/10.1016/j.physrep.2020.07.004.

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@article{osti_1658664,

  title        = {Perturbative thermal QCD: Formalism and applications},

  author       = {Ghiglieri, Jacopo and Kurkela, Aleksi and Strickland, Michael and Vuorinen, Aleksi},

  abstractNote = {In this review article, we discuss the current status and future prospects of perturbation theory as a means of studying the equilibrium thermodynamic and near-equilibrium transport properties of deconfined QCD matter. We begin with a brief introduction to the general topic, after which we review in some detail the foundations and modern techniques of the real- and imaginary-time formalisms of thermal field theory, covering e.g. the different bases used in the real-time formalism and the resummations required to deal with soft and collinear contributions. After this, we discuss the current status of applications of these techniques, including topics such as electromagnetic rates, transport coefficients, jet quenching, heavy quarks and quarkonia, and the Equations of State of hot quark–gluon plasma as well as cold and dense quark matter. Finally, we conclude with our view of the future directions of the field, i.e. how we anticipate perturbative calculations to contribute to our collective understanding of strongly interacting matter in the coming years.},

  doi          = {10.1016/j.physrep.2020.07.004},

  journal      = {Physics Reports},

  number       = C,

  volume       = 880,

  place        = {Netherlands},

  year         = {2020},

  month        = {10}

}

Copy to clipboard

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Fermions and gauge vector mesons at finite temperature and density. III. The ground-state energy of a relativistic quark gas
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Freedman, Barry A.; McLerran, Larry D.
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Title: Perturbative thermal QCD: Formalism and applications

Abstract

Citation Formats

Debye screening mass of hot Yang-Mills theory to three-loop order journal, November 2015

Non-Fermi-liquid specific heat of normal degenerate quark matter journal, November 2004

Next-to-leading order thermal spectral functions in the perturbative domain journal, September 2011

Next-to-leading order thermal photon production in a weakly-coupled plasma journal, December 2014

Three-loop free energy for pure gauge QCD journal, December 1994

An estimate for the thermal photon rate from lattice QCD journal, January 2018

Retarded-advanced N-point Green functions in thermal field theories journal, December 1994

Covariant calculations at finite temperature: The relativistic plasma journal, September 1982

Thermal production of relativistic Majorana neutrinos: strong enhancement by multiple soft scattering journal, March 2011

Shear viscosity of boost invariant plasma at finite coupling journal, October 2008

Damping rates of hard momentum particles in a cold ultrarelativistic plasma journal, October 1997

Color filamentation in ultrarelativistic heavy-ion collisions journal, February 1997

Radiative energy loss of high-energy quarks in finite-size nuclear matter and quark-gluon plasma journal, April 1997

Ultraviolet asymptotics of scalar and pseudoscalar correlators in hot Yang-Mills theory journal, October 2010

Free energy of QCD at high temperature journal, March 1996

Kinoshita-Lee-Nauenberg theorem, magnetic mass, and thermal photon production journal, May 2000

Photon and dilepton emission from the quark-gluon plasma: Some general considerations journal, February 1985

On the infrared behavior of the shear spectral function in hot Yang-Mills theory journal, March 2015

Optimized perturbation theory at finite temperature journal, August 1998

A relation between screening masses and real-time rates journal, May 2014

Z ( 3 ) -symmetric effective theory for S U ( 3 ) Yang-Mills theory at high temperature journal, July 2006

Simple effective Lagrangian for hard thermal loops journal, March 1992

Thermal versus direct J/Ψ production in ultrarelativistic heavy-ion collisions journal, December 2001

Towards leptogenesis at NLO: the right-handed neutrino interaction rate journal, August 2011

Classical real time correlation functions and quantum corrections at finite temperature journal, February 1997

Real and imaginary-time correlators in a thermal medium journal, June 2008

Imaginary part of the static gluon propagator in an anisotropic (viscous) QCD plasma journal, June 2009

High-temperature limit of thermal QCD journal, April 1990

The large $N$ limit of superconformal field theories and supergravity journal, January 1998

Probing the space-time evolution of heavy ion collisions with photons and dileptons journal, November 2017

Anti de Sitter space and holography journal, January 1998

Color screening in ( 2 + 1 )-flavor QCD journal, September 2018

Axions and saxions from the primordial supersymmetric plasma and extra radiation signatures journal, February 2013

Pressure of hot QCD up to g 6 ln ( 1 / g ) journal, May 2003

Quarkonium dissociation in the presence of a small momentum space anisotropy journal, July 2009

Four-loop vacuum energy density of the SU( N c ) + adjoint Higgs theory journal, April 2003

Non-Fermi liquid effects in QCD at high density journal, September 2004

Hard-thermal-loop perturbation theory to two loops journal, October 2002

J/ψ suppression by quark-gluon plasma formation journal, October 1986

Approximately self-consistent resummations for the thermodynamics of the quark-gluon plasma: Entropy and density journal, February 2001

Static quark-antiquark pairs at finite temperature journal, July 2008

Screened perturbation theory to three loops journal, April 2001

Energetic dileptons from the quark-gluon plasma journal, February 2008

Fate of non-Abelian plasma instabilities in 3 + 1 dimensions journal, September 2005

How much do heavy quarks thermalize in a heavy ion collision? journal, June 2005

ARS leptogenesis journal, February 2018

Three-loop free energy for high-temperature QED and QCD with fermions journal, February 1995

Charm contribution to bulk viscosity journal, February 2015

Colour-electric spectral function at next-to-leading order journal, August 2010

Perturbative QCD at nonzero chemical potential: Comparison with the large- N f limit and apparent convergence journal, April 2004

High-energy photons from quark-gluon plasma versus hot hadronic gas journal, November 1991

Testing thermal photon and dilepton rates journal, November 2019

Cutting rules in the real-time formalisms at finite temperature journal, December 1997

Finite-size effects on the radiative energy loss of a fast parton in hot and dense strongly interacting matter journal, December 2010

Color Glass Condensate in Schwinger–Keldysh QCD journal, January 2014

QCD equation of state at nonzero chemical potential: continuum results with physical quark masses at order μ 2 journal, August 2012

On the hadronic contribution to sterile neutrino production journal, June 2006

Lattice constraints on the thermal photon rate journal, July 2016

Screened perturbation theory journal, May 1997

A new method for taming tensor sum-integrals journal, November 2012

Color superconductivity in dense quark matter journal, November 2008

Heavy flavor diffusion in weakly coupled Script N = 4 Super Yang-Mills theory journal, November 2006

Thermal width of the Higgs boson in hot QCD matter journal, March 2019

Jet quenching in high-energy heavy-ion collisions journal, November 2015

Soft thermal contributions to 3-loop gauge coupling journal, May 2018

Collective Flow and Viscosity in Relativistic Heavy-Ion Collisions journal, October 2013

Nonperturbative Analysis of the Electroweak Phase Transition in the Two Higgs Doublet Model journal, November 2018

Hydrodynamic transport coefficients in relativistic scalar field theory journal, September 1995

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Debye screening mass of hot Yang-Mills theory to three-loop order
journal, November 2015

Non-Fermi-liquid specific heat of normal degenerate quark matter
journal, November 2004

Next-to-leading order thermal spectral functions in the perturbative domain
journal, September 2011

Next-to-leading order thermal photon production in a weakly-coupled plasma
journal, December 2014

Three-loop free energy for pure gauge QCD
journal, December 1994

An estimate for the thermal photon rate from lattice QCD
journal, January 2018

Retarded-advanced N-point Green functions in thermal field theories
journal, December 1994

Covariant calculations at finite temperature: The relativistic plasma
journal, September 1982

Thermal production of relativistic Majorana neutrinos: strong enhancement by multiple soft scattering
journal, March 2011

Shear viscosity of boost invariant plasma at finite coupling
journal, October 2008

Damping rates of hard momentum particles in a cold ultrarelativistic plasma
journal, October 1997

Color filamentation in ultrarelativistic heavy-ion collisions
journal, February 1997

Radiative energy loss of high-energy quarks in finite-size nuclear matter and quark-gluon plasma
journal, April 1997

Ultraviolet asymptotics of scalar and pseudoscalar correlators in hot Yang-Mills theory
journal, October 2010

Free energy of QCD at high temperature
journal, March 1996

Kinoshita-Lee-Nauenberg theorem, magnetic mass, and thermal photon production
journal, May 2000

Photon and dilepton emission from the quark-gluon plasma: Some general considerations
journal, February 1985

On the infrared behavior of the shear spectral function in hot Yang-Mills theory
journal, March 2015

Optimized perturbation theory at finite temperature
journal, August 1998

A relation between screening masses and real-time rates
journal, May 2014

$Z (3)$ -symmetric effective theory for $S U (3)$ Yang-Mills theory at high temperature
journal, July 2006

Simple effective Lagrangian for hard thermal loops
journal, March 1992

Thermal versus direct J/Ψ production in ultrarelativistic heavy-ion collisions
journal, December 2001

Towards leptogenesis at NLO: the right-handed neutrino interaction rate
journal, August 2011

Classical real time correlation functions and quantum corrections at finite temperature
journal, February 1997

Real and imaginary-time correlators in a thermal medium
journal, June 2008

Imaginary part of the static gluon propagator in an anisotropic (viscous) QCD plasma
journal, June 2009

High-temperature limit of thermal QCD
journal, April 1990

The large $N$ limit of superconformal field theories and supergravity
journal, January 1998

Probing the space-time evolution of heavy ion collisions with photons and dileptons
journal, November 2017

Anti de Sitter space and holography
journal, January 1998

Color screening in ( $2 + 1$ )-flavor QCD
journal, September 2018

Axions and saxions from the primordial supersymmetric plasma and extra radiation signatures
journal, February 2013

Pressure of hot QCD up to $g^{6} \ln (1 / g)$
journal, May 2003

Quarkonium dissociation in the presence of a small momentum space anisotropy
journal, July 2009

Four-loop vacuum energy density of the SU( N _c ) + adjoint Higgs theory
journal, April 2003

Non-Fermi liquid effects in QCD at high density
journal, September 2004

Hard-thermal-loop perturbation theory to two loops
journal, October 2002

J/ψ suppression by quark-gluon plasma formation
journal, October 1986

Approximately self-consistent resummations for the thermodynamics of the quark-gluon plasma: Entropy and density
journal, February 2001

Static quark-antiquark pairs at finite temperature
journal, July 2008

Screened perturbation theory to three loops
journal, April 2001

Energetic dileptons from the quark-gluon plasma
journal, February 2008

Fate of non-Abelian plasma instabilities in $3 + 1$ dimensions
journal, September 2005

How much do heavy quarks thermalize in a heavy ion collision?
journal, June 2005

ARS leptogenesis
journal, February 2018

Three-loop free energy for high-temperature QED and QCD with fermions
journal, February 1995

Charm contribution to bulk viscosity
journal, February 2015

Colour-electric spectral function at next-to-leading order
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Perturbative QCD at nonzero chemical potential: Comparison with the large- $N_{f}$ limit and apparent convergence
journal, April 2004

High-energy photons from quark-gluon plasma versus hot hadronic gas
journal, November 1991

Testing thermal photon and dilepton rates
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Cutting rules in the real-time formalisms at finite temperature
journal, December 1997

Finite-size effects on the radiative energy loss of a fast parton in hot and dense strongly interacting matter
journal, December 2010

Color Glass Condensate in Schwinger–Keldysh QCD
journal, January 2014

QCD equation of state at nonzero chemical potential: continuum results with physical quark masses at order μ 2
journal, August 2012

On the hadronic contribution to sterile neutrino production
journal, June 2006

Lattice constraints on the thermal photon rate
journal, July 2016

Screened perturbation theory
journal, May 1997

A new method for taming tensor sum-integrals
journal, November 2012

Color superconductivity in dense quark matter
journal, November 2008

Heavy flavor diffusion in weakly coupled Script N = 4 Super Yang-Mills theory
journal, November 2006

Thermal width of the Higgs boson in hot QCD matter
journal, March 2019

Jet quenching in high-energy heavy-ion collisions
journal, November 2015

Soft thermal contributions to 3-loop gauge coupling
journal, May 2018

Collective Flow and Viscosity in Relativistic Heavy-Ion Collisions
journal, October 2013

Nonperturbative Analysis of the Electroweak Phase Transition in the Two Higgs Doublet Model
journal, November 2018

Hydrodynamic transport coefficients in relativistic scalar field theory
journal, September 1995

Polyakov loop correlator in perturbation theory
journal, July 2017

On the gauge dependence problem of the fermion damping rate in hot gauge theories
journal, November 1992

Landau-Pomeranchuk-Migdal effect in thermal field theory
journal, October 2000

Low mass thermal dilepton production at NLO in a weakly coupled quark-gluon plasma
journal, December 2014

Thermal production of gravitinos
journal, April 2007

Jet measurements in heavy ion physics
journal, June 2018

QCD trace anomaly
journal, October 2011

Instabilities of an anisotropically expanding non-Abelian plasma: $3 D + 3 V$ discretized hard-loop simulations
journal, January 2013

Thermodynamics of the QCD transition from lattice
journal, May 2013

Gluon Thermodynamics at Intermediate Coupling
journal, March 2010

Note on supersymmetric Yang-Mills thermodynamics
journal, October 1999

A way to estimate the heavy quark thermalization rate from the lattice
journal, April 2009