Journal
INTERNATIONAL JOURNAL OF MODERN PHYSICS A
Volume 26, Issue 25, Pages 4419-4450Publisher
WORLD SCIENTIFIC PUBL CO PTE LTD
DOI: 10.1142/S0217751X11054504
Keywords
Topologically massive 4D non-Abelian gauge theory; Curci-Ferrari-type restrictions; nilpotency and absolute anticommutativity; (anti-)BRST symmetry transformations; superfield formulation
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Funding
- DST, Government of India [SR/S2/HEP-23/2006]
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We apply the well-established techniques of geometrical superfield approach to Becchi-Rouet-Stora-Tyutin (BRST) formalism in the context of four (3 + 1)-dimensional (4D) dynamical non-Abelian 2-form gauge theory by exploiting its inherent scalar and vector gauge symmetry transformations and derive the corresponding off-shell nilpotent and absolutely anticommuting BRST and anti-BRST symmetry transformations. Our approach leads to the derivation of three (anti-)BRST invariant Curci-Ferrari (CF)-type restrictions that are found to be responsible for the absolute anticommutativity of the BRST and anti- BRST symmetry transformations. We derive the coupled Lagrangian densities that respect the (anti-) BRST symmetry transformations corresponding to the vector gauge transformations. We also capture the (anti-) BRST invariance of the CF-type restrictions and coupled Lagrangian densities within the framework of our superfield approach. We obtain, furthermore, the off-shell nilpotent (anti-) BRST symmetry transformations when the (anti-) BRST symmetry transformations corresponding to the scalar and vector gauge symmetries are merged together. These off-shell nilpotent merged (anti-) BRST symmetry transformations are, however, found to be non-anticommuting in nature.
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