Thermal free energy of large N-f QED in 2+1 dimensions from weak to strong coupling

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Romatschke , P & Säppi , M 2019 , ' Thermal free energy of large N-f QED in 2+1 dimensions from weak to strong coupling ' , Physical Review D , vol. 100 , no. 7 , 073009 . https://doi.org/10.1103/PhysRevD.100.073009

Title: Thermal free energy of large N-f QED in 2+1 dimensions from weak to strong coupling
Author: Romatschke, Paul; Säppi, Matias
Other contributor: University of Helsinki, Particle Physics and Astrophysics


Date: 2019-10-22
Language: eng
Number of pages: 9
Belongs to series: Physical Review D
ISSN: 2470-0010
DOI: https://doi.org/10.1103/PhysRevD.100.073009
URI: http://hdl.handle.net/10138/306974
Abstract: In 2 + 1 dimensions, QED becomes exactly solvable for all values of the fermion charge e in the limit of many fermions N-f >> 1. We present results for the free energy density at finite temperature T to next-to-leading-order in large N-f. In the naive large N-f limit, we uncover an apparently UV-divergent contribution to the vacuum energy at order O(e(6)n(f)(3)), which we argue would become a finite contribution of order O(e(6)N(f)(4)) when resumming formally higher-order 1/N-f contributions. Still in the limit of large N-f, we find the finite-temperature free energy to be well-behaved for all values of the dimensionless coupling e(2)N(f)/T, and to be bounded from above by the free energy of Nf free fermions and bounded from below by non interacting QED3. We invite follow-up studies from finite-temperature lattice gauge theory at large but fixed N-f to test our results in the regime e(2)N(f)/T >> 1.
Subject: THERMODYNAMICS
114 Physical sciences
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