On the one-loop correction of "phi^4" theory in higher dimensions

TL;DR

This paper analyzes the one-loop corrections in higher-dimensional phi^4 theory, demonstrating its regularization in five dimensions, computing temperature-dependent effects, and exploring phase transition characteristics.

Contribution

It provides the first detailed calculation of one-loop effective potential and critical temperature in five-dimensional phi^4 theory, including symmetry restoration insights.

Findings

Phi^4 theory can be regularized in five dimensions.

Critical temperature T_c depends on the fundamental scale M.

Phase transition is of second order.

Abstract

We have considered phi^4 theory in higher dimensions. Using functional diagrammatic approach, we computed the one-loop correction to effective potential of the scalar field in five dimensions. It is shown that phi^4 theory can be regularised in five dimensions. Temperature dependent one-loop correction and critical temperature T_c are computed and T_c depends on the fundamental scale M of the theory. A brief discussion of symmetry restoration is also presented. The nature of phase transitions is examined and is of second order