General Bosonic $\sigma$ Models and String Effective Actions - INSPIRE

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General Bosonic $\sigma$ Models and String Effective Actions

H. Osborn
(
- Cambridge U.
)

Oct 16, 1989

45 pages

Published in:

Annals Phys. 200 (1990) 1

DOI:

10.1016/0003-4916(90)90241-F

Report number:

DAMTP-89-27

View in:

AMS MathSciNet

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Abstract: (Elsevier)

The renormalization of general bosonic two dimensional σ models including torsion and allowing for the definition of finite local dimension 2 composite operators and their products is carefully discussed. This framework allows an extension of the Curci-Paffuti relation to be simply derived and also shows how the conditions for the vanishing of the trace of the energy momentum tensor may be derived from an action to all orders of perturbation theory. This derivation of an action for the massless modes of the closed bosonic string is related to Zamolodchikov's c -theorem. Detailed calculations are undertaken to two loops and the action then constructed is verified to coincide with a special case of previous treatments.

sigma model: nonlinear
dimension: 2
string model
effective action
renormalization group: c-function
perturbation theory: higher-order
renormalization
regularization: dimensional
tensor: energy-momentum
invariance: gauge

References(80)

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