N=1 Wess Zumino Model in d=3 at zero and finite temperature

Abstract

Supersymmetric renormalization group (RG) flow equations for the effective superpotential of the three-dimensional Wess-Zumino model are derived at zero and non-zero temperature. This model with fermions and bosons interacting via a Yukawa term possesses a supersymmetric analogue of the Wilson-Fisher fixed-point. At zero temperature we determine the phase-transition line in coupling-constant space separating the supersymmetric from the non-supersymmetric phase. At finite temperature we encounter dimensional reduction from 3 to 2 dimensions in the infrared regime. We determine the finite-temperature phase diagram for the restoration of the global $Z_2$-symmetry and show that for temperatures above the $Z_2$ phase transition the pressure obeys the Stefan-Boltzmann law of a gas of massless bosons in 2+1 dimensions.

14 pages, 6 figures, typos corrected and some comments added, version to be published in Phys. Rev. D

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Cited by in corpus (19)

• The nonperturbative functional renormalization group and its applications
• Fundamentals of the Exact Renormalization Group
• Algorithmic derivation of functional renormalization group equations and Dyson-Schwinger equations
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• Scaling and superscaling solutions from the functional renormalization group
• Many-flavor Phase Diagram of the (2+1)d Gross-Neveu Model at Finite Temperature
• Critical behavior of supersymmetric O(N) models in the large-N limit
• Phases of supersymmetric O(N) theories
• Higher Spins in Hyper-Superspace
• Phase structure of a three-dimensional Yukawa model
• Critical Wess-Zumino models with four supercharges from the functional renormalization group
• The two dimensional N=(2,2) Wess-Zumino Model in the Functional Renormalization Group Approach
• Two-loop effective potential for the Wess-Zumino model in 2+1 dimensions
• FlowPy - a numerical solver for functional renormalization group equations
• D=(2+1) O(N) Wess-Zumino model in a large N limit
• Renormalization Flow of Nonlinear Electrodynamics
• Large N limit of supersymmetric Chern-Simons-matter model: breakdown of superconformal symmetry
• Functional renormalization group flows of $\mathcal{N}=1$ supersymmetric abelian gauge model with one chiral and one vector superfield
• Non-perturbative SQED beta function using functional renormalization group approach and the NSVZ exact beta function