Two Loop Beta Functions and Low-energy String Effective Action for the Two-dimensional Bosonic Nonlinear $\sigma$ Model With a {Wess-Zumino}-witten Term

Zanon, D.

doi:10.1016/0370-2693(87)90623-X

Two Loop Beta Functions and Low-energy String Effective Action for the Two-dimensional Bosonic Nonlinear $\sigma$ Model With a {Wess-Zumino}-witten Term

D. Zanon
(
- Harvard U.
)

Mar 23, 1987

14 pages

Published in:

Phys.Lett.B 191 (1987) 363

DOI:

10.1016/0370-2693(87)90623-X

Report number:

HUTP-87/A022

View in:

ADS Abstract Service

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Abstract: (Elsevier)

We compute the two-loop β -function for the two-dimensional bosonic non-linear σ -model with a Wess-Zumino-Witten term. It satisfies an integrability condition which leads to a low-energy effective action relevant for string scattering amplitudes up to quartic terms in the antisymmetric tensor field.

FIELD THEORETICAL MODEL: SIGMA
NONLINEAR
FIELD THEORY: TWO-DIMENSIONAL
FIELD THEORY: WESS-ZUMINO TERM
MODEL: STRING
SCATTERING AMPLITUDE
FIELD THEORY: EFFECTIVE ACTION
FIELD THEORY: TENSOR
RENORMALIZATION GROUP: BETA FUNCTION
PERTURBATION THEORY: HIGHER-ORDER

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Two Loop Beta Functions and Low-energy String Effective Action for the Two-dimensional Bosonic Nonlinear σ\sigmaσ Model With a {Wess-Zumino}-witten Term

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Two Loop Beta Functions and Low-energy String Effective Action for the Two-dimensional Bosonic Nonlinear $\sigma$ Model With a {Wess-Zumino}-witten Term