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

Abstract

There is a discrepancy between light-front and equal-time values for the critical coupling of two-dimensional ${\varphi }^4$ theory. A proposed resolution is to take into account the difference between mass renormalizations in the two quantizations. This distinction was first discussed by M. Burkardt. It prevents direct comparison of bare parameters; however, a method proposed here allows calculation of the difference and thereby resolves the discrepancy. We also consider the consequences of allowing a sector-dependent constituent mass.

8 pages, 4 figures, RevTex 4.1; contributed to Lightcone 2016, Lisbon, Portugal, Sept 5-8, 2016

References in corpus (7)

• Hamiltonian Truncation Study of the Phi^4 Theory in Two Dimensions
• Systematic renormalization scheme in light-front dynamics with Fock space truncation
• An improved lattice measurement of the critical coupling in phi^4_2 theory
• Monte Carlo determination of the critical coupling in ${\varphi }_2^4$ theory
• Two-dimensional light-front ${\varphi }^4$ theory in a symmetric polynomial basis
• Light-front ${\varphi }_{1+1}^4$ theory using a many-boson symmetric-polynomial basis
• Symmetry breaking in light-front ${\varphi }^4$ theory

Cited by in corpus (3)

• NLO Renormalization in the Hamiltonian Truncation
• Momentum space CFT correlators for Hamiltonian truncation
• Symmetry breaking in light-front ${\varphi }^4$ theory