Low Energy Theorems of Hidden Local Symmetries : Particles and Fields
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概要
- 論文の詳細を見る
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.
- 理論物理学刊行会の論文
- 1994-04-25
著者
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Harada Masayasu
Department of Physics, Nagoya University
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KUGO Taichiro
Department of Physics, Kyoto University
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九後 汰一郎
Department of Physics, Kyoto University
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YAMAWAKI Koichi
Department of Physics, Nagoya University
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Kugo Taichiro
Department Of Physics Kyoto University
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山脇 幸一
Department Of Physics Nagoya University
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Yamawaki Koichi
Department Of Physics Kyoto University
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Harada M
Nagoya Univ. Nagoya Jpn
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Harada Masayasu
Department Of Physics Kyoto University
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HARADA Masayasu
Department of Physics,Kyoto University
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HARADA Masayasu
Department of Physics, Kyoto University
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