Light-front versus equal-time quantization in $\phi^4$ theory

TL;DR

This paper addresses the discrepancy in critical coupling values between light-front and equal-time quantizations in 2D $\

Contribution

It introduces a method to calculate mass renormalization differences, resolving the discrepancy between quantization schemes in $\

Findings

The discrepancy is due to different mass renormalizations in the two schemes.

A method to compute the difference in mass renormalizations is proposed.

Allowing sector-dependent masses impacts the interpretation of results.

Abstract

There is a discrepancy between light-front and equal-time values for the critical coupling of two-dimensional $\phi^4$ theory. A proposed resolution is to take into account the difference between mass renormalizations in the two quantizations. This distinction was first discussed by M. Burkardt. It prevents direct comparison of bare parameters; however, a method proposed here allows calculation of the difference and thereby resolves the discrepancy. We also consider the consequences of allowing a sector-dependent constituent mass.