BRST symmetry and Darboux transformations in Abelian 2-form gauge theory
S. N. Bose National Centre for Basic Sciences, Block JD, Sector III - Salt Lake, Kolkata - 700098, India
Received: 2 July 2013
Accepted: 24 September 2013
We analyse the constraints of an Abelian 2-form gauge theory using the Faddeev-Jackiw symplectic formalism. Further, this theory is treated as a constrained system in the context of the Batalin-Fradkin-Vilkovisky formalism to retrieve the BRST symmetry. Using the fields decompositions the effective action for the Abelian 2-form gauge theory is written in terms of a diagonalized uncanonical part and the BRST exact one. The nilpotent BRST and contracting homotopy σ closed transformations with field redefinitions are shown as the Darboux transformations used in the Faddeev-Jackiw formalism.
PACS: 11.15.-q – Gauge field theories / 11.30.-j – Symmetry and conservation laws / 03.70.+k – Theory of quantized fields
© EPLA, 2013