Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2009-01-11
Int.J.Mod.Phys.A24:6157-6176,2009
Physics
High Energy Physics
High Energy Physics - Theory
LaTeX file, 19 pages, To appear in IJMPA, journal version
Scientific paper
10.1142/S0217751X09047715
The celebrated Curci-Ferrari (CF) type of restrictions are invoked to obtain the off-shell nilpotent and absolutely anticommuting (anti-) BRST as well as (anti-) co-BRST symmetry transformations in the context of the Lagrangian description of the physical four (3 + 1)-dimensional (4D) free Abelian 2-form gauge theory. We show that the above CF type conditions, which turn out to be the secondary constraints of the theory, remain invariant with respect to the time-evolution of the above 2-form gauge system in the Hamiltonian formulation. This time-evolution invariance (i) physically ensures the linear independence of the BRST versus anti-BRST as well as co-BRST versus anti-co-BRST symmetry transformations, and (ii) provides a logical reason behind the imposition of the above CF type restrictions in the proof of the absolute anticommutativity of the off-shell nilpotent (anti-) BRST as well as (anti-) co-BRST symmetry transformations.
Malik R. P.
Mandal Bhabani Prasad
Rai Santosh Kumar
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