Two-dimensional light-front ${\varphi }^4$ theory in a symmetric polynomial basis

Abstract

We study the lowest-mass eigenstates of ${\varphi }_{1+1}^4$ theory with both odd and even numbers of constituents. The calculation is carried out as a diagonalization of the light-front Hamiltonian in a Fock-space representation. In each Fock sector a fully symmetric polynomial basis is used to represent the Fock wave function. Convergence is investigated with respect to the number of basis polynomials in each sector and with respect to the number of sectors. The dependence of the spectrum on the coupling strength is used to estimate the critical coupling for the positive-mass-squared case. An apparent discrepancy with equal-time calculations of the critical coupling is resolved by an appropriate mass renormalization.

18 pages, 8 figures, RevTeX 4.1

References in corpus (5)

• Systematic renormalization scheme in light-front dynamics with Fock space truncation
• 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
• Zero momentum modes in discrete light-cone quantization

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
• $\lambda {\varphi }^4$ Theory II: The Broken Phase Beyond NNNN(NNNN)LO
• Introduction to Lightcone Conformal Truncation: QFT Dynamics from CFT Data
• Symmetry breaking in light-front ${\varphi }^4$ theory
• Convergence of the light-front coupled-cluster method in quenched scalar Yukawa theory