Thermal Bhabha scattering under the influence of non-hermiticity effects

TL;DR

This paper studies Bhabha scattering in non-Hermitian QED at finite temperature, revealing how PT-symmetry influences scattering behavior and constrains axial coupling at high energies.

Contribution

It introduces a non-Hermitian QED framework with PT-symmetry, deriving thermal scattering cross sections and analyzing high-energy limits for the first time.

Findings

Derived thermal differential cross section for non-Hermitian QED

Established constraints on axial coupling constant at high energies

Analyzed effects of PT-symmetry on scattering processes

Abstract

In this paper, we investigate the Bhabha scattering process within the framework of non-Hermitian QED at finite temperature. In this theory, the hermiticity condition, typically required in quantum field theory to ensure the reality of physical observables, is replaced by the condition of unbroken $PT$-symmetry which favors the introduction of an axial mass and a vector-axial gauge coupling. Using the Thermofield Dynamics formalism, we derive and comprehensively analyze the thermal differential cross section for the Bhabha scattering. Furthermore, we explore the high-energy limit of the scattering amplitude and establish constraints upon the axial coupling constant, offering valuable insights into the system's behavior under extreme conditions.