• Open Access

N=4 supersymmetric Yang-Mills thermodynamics from effective field theory

Jens O. Andersen, Qianqian Du, Michael Strickland, and Ubaid Tantary
Phys. Rev. D 105, 015006 – Published 6 January 2022
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  • INTRODUCTION
  • SUPERSYMMETRIC YANG-MILLS THEORY
  • DIMENSIONAL REDUCTION AT FINITE…
  • PARAMETERS OF THE EFFECTIVE THEORY
  • CALCULATIONS IN THE EFFECTIVE THEORY
  • SUMMARY AND OUTLOOK
  • ACKNOWLEDGMENTS
  • APPENDICES
    • References

    Abstract

    The free energy density of 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 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 λT are taken into account by perturbative calculations in the effective theory.

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    • Received 1 December 2021
    • Accepted 8 December 2021

    DOI:https://doi.org/10.1103/PhysRevD.105.015006

    Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article’s title, journal citation, and DOI. Funded by SCOAP3.

    Published by the American Physical Society

    Physics Subject Headings (PhySH)

    1. Research Areas
    Effective field theoryEquations of stateFinite temperature field theoryPerturbation theoryResummation methodsSupersymmetric models
    Particles & FieldsNuclear PhysicsStatistical Physics & Thermodynamics

    Authors & Affiliations

    Jens O. Andersen1, Qianqian Du2,3,4, Michael Strickland5, and Ubaid Tantary5

    • 1Department of Physics, Norwegian University of Science and Technology, Høgskoleringen 5, N-7491 Trondheim, Norway
    • 2Department of Physics, Guangxi Normal University, Guilin 541004, China
    • 3Guangxi Key Laboratory of Nuclear Physics and Technology, Guilin 541004, China
    • 4Institute of Particle Physics and Key Laboratory of Quark and Lepton Physics (MOS), Central China Normal University, Wuhan 430079, China
    • 5Department of Physics, Kent State University, Kent, Ohio 44242, USA

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    Issue

    Vol. 105, Iss. 1 — 1 January 2022

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