Hard Thermal Loops in the n-Dimensional phi3 Theory

TL;DR

This paper derives a comprehensive formula for the dominant thermal effects in n-dimensional phi3 theory at high temperatures, highlighting their local behavior in specific limits.

Contribution

It provides a closed-form expression for leading thermal contributions in n-dimensional phi3 theory, clarifying their local nature in certain limits.

Findings

Thermal contributions are local in the long wavelength limit.

Thermal contributions are local in the static limit.

Different expressions describe these contributions in the two limits.

Abstract

We derive a closed-form result for the leading thermal contributions which appear in the n-dimensional phi3 theory at high temperature. These contributions become local only in the long wavelength and in the static limits, being given by different expressions in these two limits.