Theory Seminar

DATE: 2006-08-08 13:30 - 14:30
PLACE: Kenkyu Honkan 2F RM 220
TITLE: BRST construction for arbitrary spin field
CONTACT: tsuda
SPEAKER: Hiroyuki Takata  (Tomsk state pedagogical Univ.)
LANGUAGE: Japanese
ABSTRACT: We find Lagrangian for arbitrary spin field in any space-time dimension by using BRST method. Shin-Hagen found Lagrangian for massive arbitrary spin field in four dimensions about 30 years ago. We develop BRST method that can be applied to more general case. We treat all integer or half integer spins simultaneously in D dimension. We start from 3 constraints (in bosonic case) and find closed algebra for the constraints. After doing some kind of central extension we define BRST operator using well known formula between Lie algebra and BRST. BRST equation gives us Lagrangian with gauge symmetry, which leads to original constraints.

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