Boson propagator under rigid rotation; Mode expansion approach

TL;DR

This paper investigates the effects of rigid rotation on free relativistic bosons by calculating the boson propagator using mode expansion in cylindrical coordinates within the imaginary time formalism.

Contribution

It introduces a mode expansion approach to derive the boson propagator under rotation, providing a detailed calculation that aligns with existing literature.

Findings

Propagator derived via mode expansion matches previous results.

Method clarifies the impact of rotation on bosonic propagators.

Supports thermodynamic analysis of rotating relativistic bosons.

Abstract

To explore how rigid rotation affects the thermodynamic properties of free relativistic bosons, we employ the standard imaginary time formalism of thermal field theory to calculate the free propagator of complex scalar fields under rotation. We introduce the corresponding partition function and explicitly compute it by expanding the modes in cylindrical coordinates. The resulting propagator is in full agreement with similar findings in the existing literature.