Phase Transition in Scalar Theory Quantized on the Light-Front

TL;DR

This paper investigates the phase transition in two-dimensional light-front quantized φ^4 theory, showing it is second order and comparable to equal-time formulations, with implications for understanding quantum field phase transitions.

Contribution

It demonstrates that mass renormalization and the renormalized constraint equation fully describe the second-order phase transition in light-front φ^4 theory, aligning with previous conjectures.

Findings

Phase transition is second order in light-front φ^4 theory.

Renormalization conditions capture the phase transition behavior.

Results agree with equal-time formulation predictions.

Abstract

The renormalization of the two dimensional light-front quantized $\phi^{4}$ theory is discussed. The mass renormalization condition and the renormalized constraint equation are shown to contain all the information to describe the phase transition in the theory, which is found to be of the second order in agreement with the conjecture of Simons and Griffith. We argue that the same result is also be obtained in the conventional equal-time formulation.