Publication details

Remarks on Existence of Proper Action for Reducible Gauge Theories

Authors

BATALIN Igor BERING LARSEN Klaus

Year of publication 2010
Type Article in Periodical
Magazine / Source International Journal of Modern Physics A (IJMPA)
MU Faculty or unit

Faculty of Science

Citation
web http://arxiv.org/abs/0911.0341
Field Theoretical physics
Keywords BV Field-Antifield Formalism; Open Reducible Lagrangian Gauge Theory; Koszul--Tate Complex
Description In the field-antifield formalism, we review existence and uniqueness proofs for the proper action in the reducible case. We give two new existence proofs based on two resolution degrees called "reduced antifield number" and "shifted antifield number", respectively. In particular, we show that for every choice of gauge generators and their higher stage counterparts, there exists a proper action that implements them at the quadratic order in the auxiliary variables.
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