Analytic regularization of the Yukawa Model at Finite Temperature

Abstract

We analyse the one-loop fermionic contribution for the scalar effective potential in the temperature dependent Yukawa model. In order to regularize the model a mix between dimensional and analytic regularization procedures is used. We find a general expression for the fermionic contribution in arbitrary spacetime dimension. It is found that in D=3 this contribution is finite.

19 pages, Latex

References in corpus (6)

• Effective Field Theory Approach to High-Temperature Thermodynamics
• 3D Physics and the Electroweak Phase Transition: Perturbation Theory
• The Electroweak Phase Transition at $m_H\simeq m_W$
• One-Loop Renormalization of a Self-Interacting Scalar Field in Nonsimply Connected Spacetimes
• On the finite temperature $\lambda {\phi }^4$ and Gross-Neveu models. Is there a first order phase transition in $(\lambda {\phi }^4{)}_{D=3}$?
• Quantum Chains with $G{L}_q(2)$ Symmetry

Cited by in corpus (3)

• Casimir Energy of Massless Fermions in the Slab-bag
• On quantization in background scalar fields
• Restoration of a Spontaneously Broken Symmetry in an Euclidean Quantum $\lambda {\phi }_{d+1}^4$ model with Quenched Disorder