Unfree gauge symmetry in the Hamiltonian formalism

Abstract

The constrained Hamiltonian formalism is worked out for the theories where the gauge symmetry parameters are unfree, being restricted by differential equations. The Hamiltonian BFV-BRST embedding is elaborated for this class of gauge theories. The general formalism is exemplified by the linearized unimodular gravity.

Hamiltonian BFV-BRST Quantization for the Systems with Unfree Gauge Symmetry

“…The Lagrangian structure of unfree gauge systems is established in [6], for corresponding BV-BRST field-antifield formalism see [7]. In the present paper, we briefly demonstrate Hamiltonian structure of unfree gauge symmetry and BFV-BRST Hamiltonian quantization method proposed in [8,9]. We exemplify the general formalism by the Maxwell-like theory of symmetric tensor field.…”

Generalized unimodular gravity in Friedmann and Kantowski-Sachs universes

“…[12,13,14,15,16]). A similar class of problems with the so called unfree gauge symmetry was considered recently in papers [17,18,19].…”

Gauge symmetry of unimodular gravity in Hamiltonian formalism

“…Also the BV (Batalin-Vilkovisky) formalism has to be modified [7] to account for the distinctions of the unfree gauge symmetry from the case of unconstrained gauge parameters. The specifics of unfree gauge symmetry in the general constrained Hamiltonian formalism is worked out in the articles [8], [9], including the modification of the Hamiltonian BFV-BRST (Becchi-Rouet-Stora-Tyutin-Batalin-Fradkin-Vilkovisky) formalism. A common feature for all the unfree gauge symmetries is that they admit an alternative formulation with unconstrained gauge parameters while the unrestricted gauge symmetry is reducible.…”

“…In this article, following the general procedure of ref. [8], we work out the Hamiltonian description of the volume preserving diffeomorphisms (2).…”