Regge Behaviour from an Environmentally Friendly Renormalization Group

TL;DR

This paper explores the asymptotic behavior of cubic scalar field theories in the Regge limit using an environmentally friendly renormalization group approach, analyzing the crossover between energy regimes in scattering processes.

Contribution

It introduces an environmentally friendly renormalization group method to study the Regge behavior in scalar field theories, focusing on asymmetric momentum dependence.

Findings

Derived asymptotic forms of crossover scaling functions for scattering processes.

Analyzed the transition between large and small energy regimes at fixed momentum transfer.

Applied one-loop renormalization group improved perturbation theory to scalar models.

Abstract

The asymptotic behaviour of cubic field theories is investigated in the Regge limit using the techniques of environmentally friendly renormalization, environmentally friendly in the present context meaning asymmetric in its momentum dependence. In particular we consider the crossover between large and small energies at fixed momentum transfer for a model scalar theory of the type phi^2 psi. The asymptotic forms of the crossover scaling functions are exhibited for all two particle scattering processes in this channel to one loop in a renormalization group improved perturbation theory.