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Prog. Theor. Phys. Vol. 91 No. 4 (1994) pp. 801-828

[ Full Text PDF : FREE ACCESS (2592K) ]

Low Energy Theorems of Hidden Local Symmetries

Masayasu Harada, Taichiro Kugo and Koichi Yamawaki*

Department of Physics, Kyoto University, Kyoto 606-01
*Department of Physics, Nagoya University, Nagoya 464-01

(Received December 17, 1993)

Abstract:

We prove to all orders of the loop expansion the low energy theorems of hidden local symmetries in four-dimensional nonlinear sigma models based on the coset space G/H, with G and H being arbitrary compact groups. Although the models are non-renormalizable, the proof is done in an analogous manner to the renormalization proof of gauge theories and two-dimensional nonlinear sigma models by restricting ourselves to the operators with two derivatives (counting a hidden gauge boson field as one derivative), i.e., with dimension 2, which are the only operators relevant to the low energy limit. Through loop-wise mathematical induction based on the Ward-Takahashi identity for the BRS symmetry, we solve renormalization equation for the effective action up to dimension-2 terms plus terms with the relevant BRS sources. We then show that all the quantum corrections to the dimension-2 operators, including the finite parts as well as the divergent ones, can be entirely absorbed into a re-definition (renormalization) of the parameters and the fields in the dimension-2 part of the tree-level Lagrangian.


URL : http://ptp.ipap.jp/link?PTP/91/801/
DOI : 10.1143/PTP.91.801

[ Full Text PDF : FREE ACCESS (2592K) ] Citation:

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