Symmetry breaking in light-front ${\varphi }^4$ theory

Abstract

We consider the symmetric and broken phases of light-front ${\varphi }^4$ theory in two dimensions. In both cases the mass of the lowest state is computed and its dependence on the coupling used to infer critical coupling values. The structure of the eigenstate is examined to determine whether it shows the signs of critical behavior, specifically whether the one-body sector becomes improbable relative to the higher Fock sectors. In attempts to establish this behavior, we consider both sector-independent and sector-dependent constituent masses.

arXiv comment8 pages, 3 figures, RevTeX 4.1; contributed to Lightcone 2016, Lisbon, Portugal, Sept 5-8, 2016

References in corpus (20)

• Quantum Chromodynamics and Other Field Theories on the Light Cone
• Light Front Quantization
• Systematic renormalization scheme in light-front dynamics with Fock space truncation
• Light-Front Quantum Chromodynamics: A framework for the analysis of hadron physics
• Spontaneous Symmetry Breaking at Infinite Momentum without P+ Zero-Modes
• Nonperturbative light-front Hamiltonian methods
• A light-front coupled-cluster method for the nonperturbative solution of quantum field theories
• Kinks in Discrete Light Cone Quantization
• Nonperturbative renormalization and the electron's anomalous moment in large-alpha QED
• Nonperturbative calculation of the anomalous magnetic moment in the Yukawa model within truncated Fock space
• Two-dimensional light-front ${\varphi }^4$ theory in a symmetric polynomial basis
• Ab initio results for the broken phase of scalar light front field theory
• On the nonperturbative solution of Pauli--Villars-regulated light-front QED: A comparison of the sector-dependent and standard parameterizations
• A transition in the spectrum of the topological sector of ${\varphi }_2^4$ theory at strong coupling
• Application of the light-front coupled-cluster method to ${\varphi }^4$ theory in two dimensions
• Phase Transition in Light-Front ${\varphi }_{1+1}^4$
• Basis of symmetric polynomials for many-boson light-front wave functions
• Symmetric multivariate polynomials as a basis for three-boson light-front wave functions
• Spontaneous symmetry breaking in light front field theory
• Light-front versus equal-time quantization in ${\varphi }^4$ theory

Cited by in corpus (1)

• Light-front versus equal-time quantization in ${\varphi }^4$ theory