Phase Transition in Light-Front ${\varphi }_{1+1}^4$

Abstract

We reproduce Chang's duality condition in a regularized ${\varphi }_{1+1}^4$ theory quantized on a light front. The regularization involves higher derivatives in the Lagrangian, renders the model finite in the ultraviolet, and does not require introduction of a finite size of the system. It is demonstrated that the light-front quantization is a natural way to treat systems with higher derivatives. The phase transition is related to the presence of tachyons in the regularized theory. Prospects for computing the critical coupling in this formulation are briefly discussed.

13 pages

References in corpus (5)

• Quantum Chromodynamics and Other Field Theories on the Light Cone
• Spontaneous Symmetry Breaking of phi4(1+1) in Light Front Field Theory
• Spontaneous Symmetry Breaking at Infinite Momentum without P+ Zero-Modes
• Monte Carlo Simulation Calculation of Critical Coupling Constant for Continuum ϕ^4_2
• The Vacuum Structure of Light-Front ${\varphi }_{1+1}^4$-Theory

Cited by in corpus (13)

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• A light-front coupled-cluster method for the nonperturbative solution of quantum field theories
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• A first nonperturbative calculation in light-front QED for an arbitrary covariant gauge
• N=(1,1) super Yang--Mills theory in 1+1 dimensions at finite temperature
• Zero momentum modes in discrete light-cone quantization
• Light-front ${\varphi }_{1+1}^4$ theory using a many-boson symmetric-polynomial basis
• Hamiltonian, Path Integral and BRST Formulations of Large N Scalar $QC{D}_2$ on the Light-Front and Spontaneous Symmetry Breaking
• Two-dimensional super Yang-Mills theory investigated with improved resolution
• Symmetry breaking in light-front ${\varphi }^4$ theory
• Scalar theories and symmetry breaking in the light-front coupled-cluster method
• Spontaneous Breakdown of U(1) symmetry in DLCQ without Zero Mode