Quantum Master Equation for QED in Exact Renormalization Group(Particles and Fields)

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概要

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• Recently, one of us (H. S.) gave an explicit form of the Ward-Takahashi identity for the Wilson action of QED. We first rederive the identity using a functional method. The identity makes it possible to realize the gauge symmetry even in the presence of a momentum cutoff. In the cutoff dependent realization, the nilpotency of the BRS transformation is lost. Using the Batalin-Vilkovisky formalism, we extend the Wilson action by including the antifield contributions. Then, the Ward-Takahashi identity for the Wilson action is lifted to a quantum master equation, and the modified BRS transformation regains nilpotency. We also obtain a flow equation for the extended Wilson action.

• 理論物理学刊行会の論文
• 2007-07-25

著者

• 五十嵐 尤二

  新潟大教育

• IGARASHI Yuji

  Research Institute for Fundamental Physics, Kyoto University

• 伊藤 克美

  新潟大学教育学部物理

• 伊藤 克美

  新潟大教育人間科学部

• Itoh Katsumi

  Department Of Physics Kyoto University

• Itoh Katsumi

  Faculty Of Education Niigata University

• Igarashi Yuji

  Research Institute For Fundamental Physics Kyoto University

• Igarashi Y

  Niigata Univ.

• Igarashi Yuji

  Department Of Education Niigata University

• Igarashi Yuji

  Faculty Of Education Niigata University

• 五十嵐 尤ニ

  新潟大学教育人間科学部

• Sonoda Hidenori

  Physics Department Kobe University

• IGARASHI Yuji

  Laboratory of Physics, Faculty of Education Niigata University

• ITOH Katsumi

  Department of Physics, Brown University

• ITOH Katsumi

  Faculty of Education, Niigata University

• ITOH Katsumi

  National Laboratory for High Energy Physics (KEK):(Present address)Department of Applied Mathematics and Theoretical Physics, University of Cambridge

• ITOH Katsumi

  Department of Physics, Kyoto University

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