Nonrenormalization of the Wess-Zumino-Witten term in the two-dimensional nonlinear σ model

Date

1989-4-15

Author

Pak, Namik Kemal

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A coordinate-independent background-field expansion method, suitable for the nonlinear σ models with a Wess-Zumino-Witten term expressed as a three-dimensional integral which makes its topological nature manifest, is developed and applied to both purely bosonic and supersymmetric σ models. This algorithm allows us to compute the quantum corrections over the background-field contribution exactly. It is shown that in the conformal-invariant case, that is when the relation λ2=±4π/k holds between the coupling constants, the Wess-Zumino-Witten term is not renormalized to any order in perturbation theory.

URI

https://hdl.handle.net/11511/51773

Journal

Physical Review D

DOI

https://doi.org/10.1103/physrevd.39.2396

Collections

Department of Physics, Article

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Citation Formats

N. K. Pak, “Nonrenormalization of the Wess-Zumino-Witten term in the two-dimensional nonlinear σ model,” Physical Review D, pp. 2396–2401, 1989, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/51773.