Thermal corrections to Regge trajectories

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 <a:math xmlns:a="http://www.w3.org/1998/Math/MathML" display="inline"><a:mi>λ</a:mi><a:msup><a:mi>ϕ</a:mi><a:mn>3</a:mn></a:msup></a:math> model. We first compute the Regge trajectories at zero temperature, establishing a baseline for comparison. As a key novelty, we extend 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.