Remarks on Existence of Proper Action for Reducible Gauge Theories

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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.
Related projects:	Mathematical structures and their physical applications