The Continuum Version of ϕ^4_{1+1}-theory in Light-Front Quantization

Abstract

A genuine continuum treatment of the massive ϕ^4_{1+1}-theory in light-cone quantization is proposed. Fields are treated as operator valued distributions thereby leading to a mathematically well defined handling of ultraviolet and light cone induced infrared divergences and of their renormalization. Although non-perturbative the continuum light cone approach is no more complex than usual perturbation theory in lowest order. Relative to discretized light cone quantization, the critical coupling increases by 30% to a value r = 1.5. Conventional perturbation theory at the corresponding order yields r_1=1, whereas the RG improved fourth order result is r_4 = 1.8 +-0.05.

19 pages, 6 eps figures included, in Latex 2.09, uses psfig

References in corpus (5)

• Spontaneous Symmetry Breaking of phi4(1+1) in Light Front Field Theory
• Spontaneous symmetry breaking of (1+1)-dimensional ${\varphi }^4$ theory in light-front field theory (II)
• Spontaneous symmetry breaking of (1+1)-dimensional ${\varphi }^4$ theory in light-front field theory (III)
• Dynamical Zero Modes and Pure Glue ${\mathrm{QCD}}_{1+1}$ in Light-Cone Field Theory
• On the Discretized Light-Cone Quantization of Electrodynamics

Cited by in corpus (9)

• Systematic renormalization scheme in light-front dynamics with Fock space truncation
• Nonperturbative light-front Hamiltonian methods
• A first nonperturbative calculation in light-front QED for an arbitrary covariant gauge
• UV and IR behaviour in QFT and LCQFT with fields as Operator Valued Distributions:Epstein and Glaser revisited
• Zero momentum modes in discrete light-cone quantization
• Dynamics on the Light Cone : Compact versus Continuum Quantization
• Critical properties of ${\Phi }_{1+1}^4$-theory in Light-Cone Quantization
• On the problem of mass-dependence of the two-point function of the real scalar free massive field on the light cone
• Light-front versus equal-time quantization in ${\varphi }^4$ theory