Linear Yang–Mills Theory as a Homotopy AQFT

@article{Benini2019LinearYT,
title={Linear Yang–Mills Theory as a Homotopy AQFT},
author={Marco Benini and Simen Bruinsma and Alexander Schenkel},
journal={Communications in Mathematical Physics},
year={2019}
}
• Published 3 June 2019
• Mathematics
• Communications in Mathematical Physics
It is observed that the shifted Poisson structure (antibracket) on the solution complex of Klein–Gordon and linear Yang–Mills theory on globally hyperbolic Lorentzian manifolds admits retarded/advanced trivializations (analogs of retarded/advanced Green’s operators). Quantization of the associated unshifted Poisson structure determines a unique (up to equivalence) homotopy algebraic quantum field theory (AQFT), i.e. a functor that assigns differential graded $$*$$ ∗ -algebras of observables…
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