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

Bardakci, Korkut

Lawrence Berkeley National Laboratory

关键词: Coupling Constants;    Field Theories;    72;    String Models;   

DOI  :  10.2172/934717
RP-ID  :  LBNL-62220
RP-ID  :  DE-AC02-05CH11231
RP-ID  :  934717

美国|英语

来源: UNT Digital Library

【 摘 要 】

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.