Friday, February 15, 2013

1212.6370 (A. Shukla et al.)

Curci-Ferrari Type of Condition in Hamiltonian Formalism: A Free
Spinning Relativistic Particle
   [PDF]

A. Shukla, T. Bhanja, R. P. Malik
The Curci-Ferrari (CF)-type of restriction emerges in the description of a free spinning relativistic particle within the framework of Becchi-Rouet-Stora-Tyutin (BRST) formalism when the off-shell nilpotent and absolutely anticommuting (anti-)BRST symmetry transformations for this system are derived from the application of horizontality condition (HC) and its supersymmetric generalization (SUSY-HC) within the framework of superfield formalism. We show that the above CF-condition, which turns out to be the secondary constraint of our present theory, remains time-evolution invariant within the framework of Hamiltonian formalism. This time-evolution invariance (i) physically justifies the imposition of the (anti-)BRST invariant CF-type condition on this system, and (ii) mathematically implies the linear independence of BRST and anti-BRST symmetries of our present theory.
View original: http://arxiv.org/abs/1212.6370

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