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

Technical Report · Wed Jan 10 00:00:00 EST 2007

DOI:https://doi.org/10.2172/934717· OSTI ID:934717

Bardakci, Korkut; Bardakci, Korkut

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.

• Research Organization: Lawrence Berkeley National Lab. (LBNL), Berkeley, CA (United States)
• Sponsoring Organization: Physics Division
• DOE Contract Number: DE-AC02-05CH11231
• OSTI ID: 934717
• Report Number(s): LBNL-62220; TRN: US0803816
• Country of Publication: United States
• Language: English

Related Subjects

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FIELD THEORIES
STRING MODELS
COUPLING CONSTANTS