BRS Symmetry, the Quantum Master Equation and the Wilsonian Renormalization Group.
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- Igarashi Yuji
- Faculty of Education, Niigata University, Niigata 950-2181, Japan
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- Itoh Katsumi
- Faculty of Education, Niigata University, Niigata 950-2181, Japan
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- So Hiroto
- Department of Physics, Niigata University, Niigata 950-2181, Japan
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抄録
Recently we made a proposal for realization of an effective BRS symmetry along the Wilsonian renormalization group flow. In this paper we show that the idea can be naturally extended to the most general gauge theories. Extensive use of the antifield formalism is made to reveal some remarkable structure of the effective BRS symmetry. The average action, defined with a continuum analog of the block spin transformation, obeys the quantum master equation (QME), provided that a UV action does so. We show that the RG flow described by the exact flow equations is generated by canonical transformations in the field-antifield space. Using the relation between the average action and the Legendre effective action, we establish the equivalence between the QME for the average action and the modified Ward-Takahashi identity for the Legendre action. The QME remains intact when the regularization is removed.
収録刊行物
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- Progress of Theoretical Physics
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Progress of Theoretical Physics 106 (1), 149-166, 2001
一般社団法人 日本物理学会
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詳細情報 詳細情報について
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- CRID
- 1390282679136261376
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- NII論文ID
- 210000110755
- 110001200940
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- NII書誌ID
- AA00791455
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- BIBCODE
- 2001PThPh.106..149I
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- ISSN
- 13474081
- 0033068X
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- MRID
- 1854124
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- NDL書誌ID
- 5904775
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- 本文言語コード
- en
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- データソース種別
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- JaLC
- NDL
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- CiNii Articles
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- 使用不可