Search Menu
DOE PAGES title logo U.S. Department of Energy
Office of Scientific and Technical Information
Search Scholarly Publications

Title: Scheme dependence of two-loop hard thermal loop perturbation theory resummed SYM 4 , 4 thermodynamics

Abstract

The resummed thermodynamics of $$\mathscr{N}$$ = 4 supersymmetric Yang-Mills theory in four space-time dimensions has been calculated previously to two loop order within hard thermal loop perturbation theory (HTLpt) using the canonical dimensional regularization (DRG) scheme. Herein, we revisit this calculation using the regularization by dimensional reduction (RDR) scheme. Since the RDR scheme manifestly preserves supersymmetry it is the preferred scheme; however, it is important to assess if and by how much the resummed perturbative results depend on the regularization scheme used. Comparing predictions for the scaled entropy obtained using the DRG and RDR schemes we find that for λ ≲ 6 they are numerically very similar. We then compare the results obtained in both schemes with the strict perturbative result, which is accurate up to order λ2, and a generalized Padé approximant constructed from the known large-Nc weak- and strong-coupling expansions. Comparing the strict perturbative expansion of the two-loop HTLpt result with the perturbative expansion to order λ2, we find that both the DRG and RDR HTLpt calculations result in the same scheme-independent predictions for the coefficients at order λ, λ3/2, and λ2 log λ; however, at order λ2 there is a residual regularization scheme dependence.

Authors:
ORCiD logo; ORCiD logo;
Publication Date:
Research Org.:
Kent State Univ., Kent, OH (United States)
Sponsoring Org.:
USDOE Office of Science (SC); Guangdong Major Project of Basic and Applied Basic Research; Natural Science Foundation of China
OSTI Identifier:
1862488
Alternate Identifier(s):
OSTI ID: 1980056
Grant/Contract Number:  
SC0013470; 2020B0301030008
Resource Type:
Published Article
Journal Name:
Physical Review D
Additional Journal Information:
Journal Name: Physical Review D Journal Volume: 105 Journal Issue: 7; Journal ID: ISSN 2470-0010
Publisher:
American Physical Society
Country of Publication:
United States
Language:
English
Subject:
79 ASTRONOMY AND ASTROPHYSICS; 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; 73 NUCLEAR PHYSICS AND RADIATION PHYSICS; 70 PLASMA PHYSICS AND FUSION TECHNOLOGY; quark-gluon plasma; thermodynamics

Citation Formats

Du, Qianqian, Strickland, Michael, and Tantary, Ubaid. Scheme dependence of two-loop hard thermal loop perturbation theory resummed SYM 4 , 4 thermodynamics. United States: N. p., 2022. Web. doi:10.1103/PhysRevD.105.074004.
Copy to clipboard
Du, Qianqian, Strickland, Michael, & Tantary, Ubaid. Scheme dependence of two-loop hard thermal loop perturbation theory resummed SYM 4 , 4 thermodynamics. United States. https://doi.org/10.1103/PhysRevD.105.074004
Copy to clipboard
Du, Qianqian, Strickland, Michael, and Tantary, Ubaid. Mon . "Scheme dependence of two-loop hard thermal loop perturbation theory resummed SYM 4 , 4 thermodynamics". United States. https://doi.org/10.1103/PhysRevD.105.074004.
Copy to clipboard
@article{osti_1862488,
title = {Scheme dependence of two-loop hard thermal loop perturbation theory resummed SYM 4 , 4 thermodynamics},
author = {Du, Qianqian and Strickland, Michael and Tantary, Ubaid},
abstractNote = {The resummed thermodynamics of $\mathscr{N}$ = 4 supersymmetric Yang-Mills theory in four space-time dimensions has been calculated previously to two loop order within hard thermal loop perturbation theory (HTLpt) using the canonical dimensional regularization (DRG) scheme. Herein, we revisit this calculation using the regularization by dimensional reduction (RDR) scheme. Since the RDR scheme manifestly preserves supersymmetry it is the preferred scheme; however, it is important to assess if and by how much the resummed perturbative results depend on the regularization scheme used. Comparing predictions for the scaled entropy obtained using the DRG and RDR schemes we find that for λ ≲ 6 they are numerically very similar. We then compare the results obtained in both schemes with the strict perturbative result, which is accurate up to order λ2, and a generalized Padé approximant constructed from the known large-Nc weak- and strong-coupling expansions. Comparing the strict perturbative expansion of the two-loop HTLpt result with the perturbative expansion to order λ2, we find that both the DRG and RDR HTLpt calculations result in the same scheme-independent predictions for the coefficients at order λ, λ3/2, and λ2 log λ; however, at order λ2 there is a residual regularization scheme dependence.},
doi = {10.1103/PhysRevD.105.074004},
journal = {Physical Review D},
number = 7,
volume = 105,
place = {United States},
year = {Mon Apr 11 00:00:00 EDT 2022},
month = {Mon Apr 11 00:00:00 EDT 2022}
}
Copy to clipboard
Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record
https://doi.org/10.1103/PhysRevD.105.074004
Copyright Statement
Other availability
Search WorldCat Search WorldCat to find libraries that may hold this journal
Save / Share:
Export Metadata
Save to My Library
You must Sign In or Create an Account in order to save documents to your library.

Works referenced in this record:

Coupling constant dependence in the thermodynamics of N = 4 supersymmetric Yang-Mills theory
journal, November 1998

New Approach to the Renormalization Group
journal, November 1973

Convergence behavior of variational perturbation expansion — A method for locating Bender-Wu singularities
journal, October 1995

Supersymmetry, supergravity theories and the dual spinor model
journal, April 1977

Hard thermal loops and the entropy of supersymmetric Yang-Mills theories
journal, June 2007

Quark number susceptibilities from two-loop hard thermal loop perturbation theory
journal, July 2013

  • Haque, Najmul; Mustafa, Munshi G.; Strickland, Michael
  • Journal of High Energy Physics, Vol. 2013, Issue 7
  • DOI: 10.1007/JHEP07(2013)184

Gauge-fixing dependence of Φ -derivable approximations
journal, September 2002

N = 4 supersymmetric Yang-Mills thermodynamics from effective field theory
journal, January 2022

Perspectives on Higgs Physics II
book, November 1997

  • Kane, Gordon L.
  • Advanced Series on Directions in High Energy Physics
  • DOI: 10.1142/ASDHEP

Hard-thermal-loop resummation of the thermodynamics of a hot gluon plasma
journal, December 1999

Dimensional regularization and the renormalization group
journal, September 1973

Three-loop Φ -derivable approximation in QED
journal, January 2005

Super Yang--Mills Plasma
journal, January 2014

Anharmonic Oscillator. II. A Study of Perturbation Theory in Large Order
journal, March 1973

Field theory interpretation of supergauges in dual models
journal, November 1971

Effective action for composite operators
journal, October 1974

Dimensional renorinalization : The number of dimensions as a regularizing parameter
journal, November 1972

  • Bollini, C. G.; Giambiagi, J. J.
  • Il Nuovo Cimento B, Vol. 12, Issue 1
  • DOI: 10.1007/BF02895558

Two-loop HTL-resummed thermodynamics for $$ \mathcal{N} $$ = 4 supersymmetric Yang-Mills theory
journal, September 2020

  • Du, Qianqian; Strickland, Michael; Tantary, Ubaid
  • Journal of High Energy Physics, Vol. 2020, Issue 9
  • DOI: 10.1007/JHEP09(2020)038

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

Hard thermal loop resummation of the thermodynamic potential
journal, April 2001

Remarks on two-loop free energy in N = 4 supersymmetric Yang-Mills theory at finite temperature
journal, February 1999

$$ \mathcal{N} $$ = 4 supersymmetric Yang-Mills thermodynamics to order λ2
journal, August 2021

  • Du, Qianqian; Strickland, Michael; Tantary, Ubaid
  • Journal of High Energy Physics, Vol. 2021, Issue 8
  • DOI: 10.1007/JHEP08(2021)064

On the apparent convergence of perturbative QCD at high temperature
journal, July 2003

Four-loop screened perturbation theory
journal, October 2008

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

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

Screened perturbation theory to three loops
journal, April 2001

Two-loop hard thermal loop pressure at finite temperature and chemical potential
journal, May 2013

Supersymmetric dimensional regularization via dimensional reduction
journal, June 1979

Three-loop hard-thermal-loop free energy for QED
journal, October 2009

Deep-inelastic scattering beyond the leading order in asymptotically free gauge theories
journal, December 1978

Phase diagram of Script N = 4 super-Yang-Mills theory with R -symmetry chemical potentials
journal, September 2006

Two-loop hard-thermal-loop thermodynamics with quarks
journal, August 2004

  • Andersen, Jens O.; Petitgirard, Emmanuel; Strickland, Michael
  • Physical Review D, Vol. 70, Issue 4
  • DOI: 10.1103/PhysRevD.70.045001

Mass expansions of screened perturbation theory
journal, October 2001

Is the neutrino a goldstone particle?
journal, September 1973

Sense and nonsense in the renormalization-scheme-dependence problem
journal, August 1982

Three-loop hard-thermal-loop perturbation theory thermodynamics at finite temperature and finite baryonic and isospin chemical potential
journal, March 2016

Shear Viscosity in Weakly Coupled N = 4 Super Yang-Mills Theory Compared to QCD
journal, April 2007

Supersymmetric Yang-Mills theories
journal, March 1977

Three-loop HTL QCD thermodynamics
journal, August 2011

  • Andersen, Jens O.; Leganger, Lars E.; Strickland, Michael
  • Journal of High Energy Physics, Vol. 2011, Issue 8
  • DOI: 10.1007/JHEP08(2011)053

Quark number susceptibilities from HTL-resummed thermodynamics
journal, December 2001

QCD trace anomaly
journal, October 2011

Hard-Thermal-Loop Resummation of the Free Energy of a Hot Gluon Plasma
journal, September 1999

Regularization and renormalization of gauge fields
journal, July 1972

Hard-thermal-loop resummation of the free energy of a quark-gluon plasma
journal, March 2000

Self-consistent hard-thermal-loop thermodynamics for the quark-gluon plasma
journal, December 1999

Gluon Thermodynamics at Intermediate Coupling
journal, March 2010

Dimensional regularization and supersymmetry
journal, June 1983

Note on supersymmetric Yang-Mills thermodynamics
journal, October 1999

Regularization by dimensional reduction of supersymmetric and non-supersymmetric gauge theories
journal, May 1980

NNLO hard-thermal-loop thermodynamics for QCD
journal, February 2011

Entropy of the QCD Plasma
journal, October 1999

Fermions and gauge vector mesons at finite temperature and density. III. The ground-state energy of a relativistic quark gas
journal, August 1977

Three-loop HTL gluon thermodynamics at intermediate coupling
journal, August 2010

  • Andersen, Jens O.; Strickland, Michael; Su, Nan
  • Journal of High Energy Physics, Vol. 2010, Issue 8
  • DOI: 10.1007/JHEP08(2010)113

A method of gauge-invariant regularization
journal, June 1972

Supersymmetry, supergravity and particle physics
journal, August 1984

Three-loop HTLpt thermodynamics at finite temperature and chemical potential
journal, May 2014

  • Haque, Najmul; Bandyopadhyay, Aritra; Andersen, Jens O.
  • Journal of High Energy Physics, Vol. 2014, Issue 5
  • DOI: 10.1007/JHEP05(2014)027

Thermodynamics of large-N super Yang–Mills theory AdS/CFT correspondence
journal, January 2000

Ground-State Energy of a Many-Fermion System. II
journal, June 1960

Three-loop pressure and susceptibility at finite temperature and density from hard-thermal-loop perturbation theory
journal, March 2014

Convergent Strong-Coupling Expansions from Divergent Weak-Coupling Perturbation Theory
journal, October 1995

Anharmonic Oscillator
journal, August 1969

Goldstone fields with spin 1/2
journal, January 1974

  • Akulov, V. P.; Volkov, D. V.
  • Theoretical and Mathematical Physics, Vol. 18, Issue 1
  • DOI: 10.1007/BF01036922
    Sort by:
    [ × clear filter / sort ]

    Similar Records in DOE PAGES and OSTI.GOV collections: