On the Structure of the Renormalization Group Beta Functions in a Class of Two-dimensional Models

Tseytlin, Arkady A.

doi:10.1016/0370-2693(90)91285-J

On the Structure of the Renormalization Group Beta Functions in a Class of Two-dimensional Models

Arkady A. Tseytlin
(
- King's Coll. London
)

Jan, 1990

5 pages

Published in:

Phys.Lett.B 241 (1990) 233-237

Published: 1990

DOI:

10.1016/0370-2693(90)91285-J

Report number:

KCL-TP-1990-1

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Abstract: (Elsevier)

We explain how the results for the beta-functions in a class of 2D field theory models with exponential interactions are related to the Weyl anomaly coefficients (and the action functional) corresponding to a general 2D sigma model with the “tachyon”, “metric” and “dilaton” couplings. We also discuss the Liouville theory and suggest a consistent definition of a scalar theory with an interaction potential depending both on the scalar field and its “dual”.

Note:

Revised version of Print-90-0191

renormalization group: beta function
dimension: 2
anomaly: Weyl
sigma model
field theory: Liouville
space-time

References(41)

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