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

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

1997-09-23

arxiv.org/abs/hep-th/9709165v1

Phys.Rev. D57 (1998) 4981-4989

Physics

High Energy Physics

High Energy Physics - Theory

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

Scientific paper

10.1103/PhysRevD.57.4981

A genuine continuum treatment of the massive \phi^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.

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