Chromomagnetic Condensate in Finite-Temperature SU(2) Yang-Mills Theory under Imaginary Rotation

TL;DR

This paper studies how imaginary rotation affects the chromomagnetic condensate and related properties in finite-temperature SU(2) Yang-Mills theory, revealing modifications to stability and effective coupling.

Contribution

It introduces the analysis of imaginary angular velocity in the SU(2) Savvidy model and derives the one-loop effective potential considering its effects.

Findings

Imaginary rotation modifies the chromomagnetic condensate and Polyakov loop.

It can partially suppress the Nielsen-Olesen instability.

High-temperature expansion shows increased effective coupling and negative contribution to moment of inertia.

Abstract

We investigate the finite-temperature SU(2) Savvidy model under an imaginary angular velocity. Employing the background-field method, we derive the one-loop effective potential and analyze both its real and imaginary parts. We demonstrate that imaginary rotation modifies the chromomagnetic condensate and the Polyakov loop, and can partially suppress the Nielsen-Olesen instability of the chromomagnetic background. Moreover, a high-temperature expansion shows that imaginary rotation strengthens the effective coupling and that the chromomagnetic field induces a negative contribution to the moment of inertia.