Absolute anticommutativity of the nilpotent symmetries in the Hamiltonian formalism: free Abelian 2-form gauge theory

Abstract

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.

LaTeX file, 19 pages, To appear in IJMPA, journal version

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Cited by in corpus (4)

• Augmented Superfield Approach to Gauge-invariant Massive 2-Form Theory
• Curci-Ferrari Type Condition in Hamiltonian Formalism: A Free Spinning Relativistic Particle
• Various forms of BRST symmetry in Abelian 2-form gauge theory
• A note on the (anti-)BRST invariant Lagrangian densities for the free abelian 2-form gauge theory