Hamiltonian BRST and Batalin-Vilkovisky formalisms for second quantization of gauge theories

Details Hamiltonian BRST and Batalin-Vilkovisky formalisms for second quantization of gauge theories Hamiltonian BRST and Batalin-Vilkovisky formalisms for second quantization of gauge theories

2003-10-08

arxiv.org/abs/hep-th/0310083v1

Commun.Math.Phys. 254 (2005) 581-601

Physics

High Energy Physics

High Energy Physics - Theory

25 pages, LaTeX

Scientific paper

10.1007/s00220-004-1275-4

Gauge theories that have been first quantized using the Hamiltonian BRST operator formalism are described as classical Hamiltonian BRST systems with a BRST charge of the form <\Psi,\Omega\Psi>_{even} and with natural ghost and parity degrees for all fields. The associated proper solution of the classical Batalin-Vilkovisky master equation is constructed from first principles. Both of these formulations can be used as starting points for second quantization. In the case of time reparametrization invariant systems, the relation to the standard <\Psi,\Omega\Psi>_{odd} master action is established.

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