P. Grange et al., CONTINUUM VERSION OF PHI(4)(1-FRONT QUANTIZATION(1) THEORY IN LIGHT), Physical review. D. Particles and fields, 57(8), 1998, pp. 4981-4989
A genuine continuum treatment of the massive phi(1+1)(4) theory in lig
ht-cone quantization is proposed. Fields are treated as operator-value
d distributions, thereby leading to a mathematically well-defined hand
ling of ultraviolet-and light-cone-induced infrared divergences and of
their renormalization. Although nonperturbative, the continuum light-
cone approach is no more complex than usual perturbation theory in low
est order. Relative to discretized light-cone quantization, the critic
al coupling increases by 30% to a value r=1.5. Conventional perturbati
on theory at the corresponding order yields r(1) = 1, whereas the RG-i
mproved fourth-order result is r(4) = 1.8 +/- 0.05.