Thermal corrections to Regge trajectories

TL;DR

This paper studies how finite temperature affects Regge trajectories in quantum field theory, providing analytical expressions and exploring the thermal evolution of particle masses within the $$ model.

Contribution

It introduces the first analytical derivation of thermal Regge trajectories and analyzes their physical implications in a quantum field theory context.

Findings

Thermal effects modify the structure of Regge trajectories.

Derived analytical expressions for finite temperature Regge trajectories.

Identified the thermal evolution of particle masses along Regge trajectories.

Abstract

In this work, we investigate the behavior of Regge trajectories in the context of quantum field theory at finite temperature. For this purpose, we employ the $\lambda \phi^3$ model. We first compute the Regge trajectories at zero temperature, establishing a baseline for comparison. As a key novelty, we extended our analysis to finite temperature and derive an analytical expression for the Regge trajectories in this regime. We explore how temperature modifies the structure of the Regge trajectories and analyze the physical implications of these modifications, which arise from the resummation of thermal ladder diagrams. As an interesting consequence, we find the thermal evolution of masses belonging to different Regge trajectories.