Journal Article

Partition functions for U(1) vectors and phases of scalar QED in AdS

Kakkar, Astha, Sarkar, Swarnendu

2024

Overview

A bstract We extend the computation of one-loop partition function in AdS d +1 using the method in [ 23 ] and [ 24 ] for scalars and fermions to the case of U(1) vectors. This method utilizes the eigenfunctions of the AdS Laplacian for vectors. For finite temperature, the partition function is obtained by generalizing the eigenfunctions so that they are invariant under the quotient group action, which defines the thermal AdS spaces. The results obtained match with those available in the literature. As an application of these results, we then analyze phases of scalar QED theories at one-loop in d = 2, 3. We do this first as functions of AdS radius at zero temperature showing that the results reduce to those in flat space in the large AdS radius limit. Thereafter the phases are studied as a function of the scalar mass and temperature. We also derive effective potentials and study phases of the scalar QED theories with N scalars.

• Publisher: Springer Berlin Heidelberg,Springer Nature B.V,SpringerOpen
• Subject: Classical and Quantum Gravitation / Effective Field Theories / Eigenvectors / Elementary Particles / Fermions / Partitions (mathematics) / Phase transitions / Phases / Physics / Physics and Astronomy / Quantum electrodynamics / Quantum Field Theories / Quantum Field Theory / Quantum Physics / Regular Article - Theoretical Physics / Relativity Theory / Scalars / Spontaneous Symmetry Breaking / String Theory / Symmetry / Temperature / Thermal Field Theory