Light-front ${\varphi }_{1+1}^4$ theory using a many-boson symmetric-polynomial basis

Abstract

We extend earlier work on fully symmetric polynomials for three-boson wave functions to arbitrarily many bosons and apply these to a light-front analysis of the low-mass eigenstates of ${\varphi }^4$ theory in 1+1 dimensions. The basis-function approach allows the resolution in each Fock sector to be independently optimized, which can be more efficient than the preset discrete Fock states in DLCQ. We obtain an estimate of the critical coupling for symmetry breaking in the positive mass-squared case.

7 pages, 2 figures, 1 table; RevTeX 4.1; talk contributed to the Lightcone 2015 workshop, Frascati, Italy, September 21-25, 2015

References in corpus (4)

• Hamiltonian Truncation Study of the Phi^4 Theory in Two Dimensions
• An improved lattice measurement of the critical coupling in phi^4_2 theory
• Application of the light-front coupled-cluster method to ${\varphi }^4$ theory in two dimensions
• Basis of symmetric polynomials for many-boson light-front wave functions

Cited by in corpus (6)

• NLO Renormalization in the Hamiltonian Truncation
• High-Precision Calculations in Strongly Coupled Quantum Field Theory with Next-to-Leading-Order Renormalized Hamiltonian Truncation
• A Conformal Truncation Framework for Infinite-Volume Dynamics
• Form Factors and Spectral Densities from Lightcone Conformal Truncation
• Bootstrapping 2d ${\varphi }^4$ Theory with Hamiltonian Truncation Data
• Light-front versus equal-time quantization in ${\varphi }^4$ theory