Analytic solution of the microcausality problem in Discretized Light Cone Quantization

Details Analytic solution of the microcausality problem in Discretized Light Cone Quantization Analytic solution of the microcausality problem in Discretized Light Cone Quantization

2004-10-09

arxiv.org/abs/hep-th/0410096v2

Phys.Lett. B605 (2005) 203-213

Physics

High Energy Physics

High Energy Physics - Theory

15 pages, 2 figures, 2 references added, to appear in Phys. Lett. B

Scientific paper

10.1016/j.physletb.2004.11.028

It is shown that that violation of causality in two-dimensional light-front field theories quantized in a finite ``volume'' $L$ with periodic or antiperiodic boundary conditions is marginal and vanishes smoothly in the continuum limit. For this purpose, we derive an exact integral representation for the complete infinite series expansion of the two-point functions of a free massive scalar and fermi field for an arbitrary finite value of $L$ and show that in the $L \to \infty$ limit we retrieve the correct continuum results.

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