A non-perturbative analysis of symmetry breaking in two-dimensional phi^4 theory using periodic field methods

Abstract

We describe the generalization of spherical field theory to other modal expansion methods. The main approach remains the same, to reduce a d-dimensional field theory into a set of coupled one-dimensional systems. The method we discuss here uses an expansion with respect to periodic-box modes. We apply the method to phi^4 theory in two dimensions and compute the critical coupling and critical exponents. We compare with lattice results and predictions via universality and the two-dimensional Ising model.

12 pages, 4 figures, version to appear in Physics Letters B

References in corpus (4)

• Introduction to the Diffusion Monte Carlo Method
• Monte Carlo Simulation Calculation of Critical Coupling Constant for Continuum ϕ^4_2
• Interactions of a Single Goldstino
• QED on a momentum lattice

Cited by in corpus (10)

• Matrix product states and variational methods applied to critical quantum field theory
• An improved lattice measurement of the critical coupling in phi^4_2 theory
• Tensor network analysis of critical coupling in two dimensional ${\varphi }^4$ theory
• The diagonalization of quantum field Hamiltonians
• Introduction to stochastic error correction methods
• Investigations in 1+1 dimensional lattice ${\varphi }^4$ theory
• Simulation of static critical phenomena in non-ideal fluids with the Lattice Boltzmann method
• Study of relativistic bound states in a scalar model using diagonalization/Monte Carlo methods
• Modal expansions and non-perturbative quantum field theory in Minkowski space
• Some applications of renormalized RPA in bosonic field theories