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• W3102144030 startingPage "1750014" @default.
• W3102144030 abstract "We investigate linearized gauge theories on globally hyperbolic spacetimes in the BRST formalism. A consistent definition of the classical phase space and of its Cauchy surface analogue is proposed. We prove that it is isomorphic to the phase space in the ‘subsidiary condition’ approach of Hack and Schenkel in the case of Maxwell, Yang–Mills, and Rarita–Schwinger fields. Defining Hadamard states in the BRST formalism in a standard way, their existence in the Maxwell and Yang–Mills case is concluded from known results in the subsidiary condition (or Gupta–Bleuler) formalism. Within our framework, we also formulate criteria for non-degeneracy of the phase space in terms of BRST cohomology and discuss special cases. These include an example in the Yang–Mills case, where degeneracy is not related to a non-trivial topology of the Cauchy surface." @default.
• W3102144030 created "2020-11-23" @default.
• W3102144030 creator A5022065755 @default.
• W3102144030 creator A5026196332 @default.
• W3102144030 date "2017-05-01" @default.
• W3102144030 modified "2023-09-24" @default.
• W3102144030 title "Classical phase space and Hadamard states in the BRST formalism for gauge field theories on curved spacetime" @default.
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• W3102144030 doi "https://doi.org/10.1142/s0129055x17500143" @default.
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