Eur. Phys. J. C (2016) 76: 101
https://doi.org/10.1140/epjc/s10052-016-3951-x

Regular Article - Theoretical Physics

A systematic study of finite BRST-BV transformations within W–X formulation of the standard and the Sp(2)-extended field–antifield formalism

¹ P.N. Lebedev Physical Institute, Leninsky Prospect 53, 119 991, Moscow, Russia
² Faculty of Science, Masaryk University, Kotlarska 2, 611 37, Brno, Czech Republic
³ Tomsk State Pedagogical University, Kievskaya St. 60, 634061, Tomsk, Russia
⁴ National Research Tomsk State University, Lenin Av. 36, 634050, Tomsk, Russia

^* e-mail: bering@physics.muni.cz

Received: 13 January 2016
Accepted: 6 February 2016
Published online: 26 February 2016

Abstract

Finite BRST-BV transformations are studied systematically within the W–X formulation of the standard and the Sp(2)-extended field–antifield formalism. The finite BRST-BV transformations are introduced by formulating a new version of the Lie equations. The corresponding finite change of the gauge-fixing master action X and the corresponding Ward identity are derived.