Title: $\mathcal{N}=4$ supersymmetric Yang-Mills thermodynamics from effective field theory

Abstract

The free energy density of $$\mathscr{N} = 4$$ supersymmetric Yang-Mills theory in four space-time dimensions is derived through second order in the ’t Hooft coupling λ at finite temperature using effective-field theory methods. The contributions to the free energy density at this order come from the hard scale T and the soft scale $$\sqrt{λT}$$. The effects of the scale T are encoded in the coefficients of an effective three-dimensional field theory that is obtained by dimensional reduction at finite temperature. The effects of the electric scale $$\sqrt{λT}$$ are taken into account by perturbative calculations in the effective theory.

Authors:

Andersen, Jens O. ;

• Search DOE PAGES for author "Andersen, Jens O."
• Search DOE PAGES for ORCID "0000-0002-0035-7400"

Du, Qianqian ;

• Search DOE PAGES for author "Du, Qianqian"
• Search DOE PAGES for ORCID "0000-0003-2047-9656"

Strickland, Michael ;

• Search DOE PAGES for author "Strickland, Michael"
• Search DOE PAGES for ORCID "0000-0003-0489-4278"

Tantary, Ubaid

Publication Date:

Thu Jan 06 00:00:00 EST 2022

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:

1838556

Alternate Identifier(s):

OSTI ID: 1980000

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: 1; 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; effective field theory; equations of state; finite temperature field theory; perturbation theory; resummation methods; supersymmetric models