Curci-Ferrari–type condition in Hamiltonian formalism: A free spinning relativistic particle

¹ Department of Physics, Centre of Advanced Studies, Banaras Hindu University Varanasi - 221 005, (U. P.), India
² DST Centre for Interdisciplinary Mathematical Sciences, Faculty of Science, Banaras Hindu University Varanasi - 221 005, (U. P.), India

^(a) ashukla038@gmail.com
^(b) tapobroto.bhanja@gmail.com
^(c) malik@bhu.ac.in

Received: 11 January 2013
Accepted: 11 February 2013

Abstract

The Curci-Ferrari (CF)–type restriction emerges in the description of a free spinning relativistic particle within the framework of the 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 the horizontality condition (HC) and its supersymmetric generalization (SUSY-HC) within the framework of the 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.