Critical Coupling for Two-dimensional ${\varphi }^4$ Theory in Discretized Light-Cone Quantization

Abstract

We solve for the critical coupling in the symmetric phase of two-dimensional ${\varphi }^4$ field theory using Discretized Light-Cone Quantization. We adopt periodic boundary conditions, neglect the zero mode, and obtain a critical coupling consistent with the critical coupling reported using conformal truncation in light-front quantization. We find a 17% dfference from the critical coupling reported with light-front quantization in a symmetric polynomial basis.

Comments: 29 pages, 6 figures. Results remain the same as the first version. Revisions in the text reflect those made for final publication. One reference has been added