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Thursday, 4 August 2016, 14:30 in P8445B
Dr. Alexander Vikman (IoP of the Czech Academy of Sciences)
Canonical exorcism for cosmological ghosts
We discuss time-dependent classical and quantum canonical transformation. In particular, we demonstrated that for the quantum canonical transformations the Hamiltonian is transformed as a connection in non-abelian gauge theories. We explicitly construct such quantum and classical transformations which change the sign the Hamiltonian. Hence one can canonically transform a ghost into a field with the correct standard sign in front of the quadratic action. Therefore the usual naive criteria for the presence or absence of ghost-like vacuum instabilities on time-dependent backgrounds are not well physically motivated and the actual information about instabilities is hidden in the interactions.
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Modified by Andrei Frolov <frolov@sfu.ca> on 2023-11-01