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The Quantization of Proca Fields on Globally Hyperbolic Spacetimes: Hadamard States and Møller Operators

The Quantization of Proca Fields on Globally Hyperbolic Spacetimes: Hadamard States and Møller Operators

Abstract This paper deals with several issues concerning the algebraic quantization of the real Proca field in a globally hyperbolic spacetime and the definition and existence of Hadamard states for that field. In particular, extending previous work, we construct the so-called Møller $$*$$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mrow><mml:mrow /><mml:mo>∗</mml:mo></mml:mrow></mml:math> -isomorphism between the algebras …