The Light-Cone Effective Potential

TL;DR

This paper demonstrates how to compute vacuum diagrams in light-cone quantum field theory and applies the method to derive the one-loop effective potential of phi^4 theory, including the treatment of zero modes.

Contribution

It introduces a method for calculating vacuum diagrams in light-cone QFT and applies it to obtain the one-loop effective potential, addressing zero mode contributions.

Findings

Standard one-loop effective potential is recovered.

Zero modes with k^+ = 0 are explicitly included.

Method simplifies calculations in light-cone quantum field theory.

Abstract

It is shown how to calculate simple vacuum diagrams in light-cone quantum field theory. As an application, I consider the one-loop effective potential of phi^4 theory. The standard result is recovered both with and without the inclusion of zero modes having longitudinal momentum k^+ = 0.