Path-Integral Formulation of Casimir Effects in Supersymmetric Quantum Electrodynamics

TL;DR

This paper develops a path-integral formulation for analyzing Casimir effects within supersymmetric quantum electrodynamics, extending traditional methods to include supersymmetric fields and boundary conditions.

Contribution

It introduces a novel path-integral approach to compute Casimir effects in supersymmetric QED, broadening the theoretical framework beyond electromagnetic fields.

Findings

Path-integral formulation for supersymmetric Casimir effects

Extension of Casimir calculations to fermionic and supersymmetric fields

Potential implications for quantum field theory and vacuum energy studies

Abstract

The Casimir effect is an interesting phenomenon in the sense that it provides us with one of the primitive means of extracting the energy out of the vacuum. Since the original work of Casimir a number of works have appeared in extending the result to the case of more general topological and dynamical configurations of the boundary condition and to the circumstances at finite temperature and gravity. In the studies of the Casimir effects it is common to assume the free electromagnetic field in the bounded region. It may be interesting to extend our arguments for fields other than the electromagnetic field. The Casimir effect due to the free fermionic fields has been investigated by several authors and has been found to result in an attractive force under the suitable physical boundary conditions.