Field Theory On the World Sheet: Mean Field Expansion And Cutoff Dependence

Details Field Theory On the World Sheet: Mean Field Expansion And Cutoff Dependence Field Theory On the World Sheet: Mean Field Expansion And Cutoff Dependence

2007-01-10

arxiv.org/abs/hep-th/0701098v1

Physics

High Energy Physics

High Energy Physics - Theory

29 Pages, 3 Figures

Scientific paper

Continuing earlier work, we apply the mean field method to the world sheet representation of a simple field theory. In particular, we study the higher order terms in the mean field expansion, and show that their cutoff dependence can be absorbed into a running coupling constant. The coupling constant runs towards zero in the infrared, and the model tends towards a free string. One cannot fully reach this limit because of infrared problems, however, one can still apply the mean field method to the high energy limit (high mass states) of the string.

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