Parisi-Sourlas supergravity
Parisi-Sourlas supergravity
A manifestly diffeomorphism invariant exact renormalization group requires extra diffeo-morphism invariant ultraviolet regularisation at some effective cutoff scale Λ. This motivatesconstruction of a ‘Parisi-Sourlas’ supergravity, in analogy with the gauge theory case, where thesuperpartner fields have the wrong spin-statistics such that they can become Pauli-Villars regu-lator fields after spontaneous symmetry breaking. We show that in contrast to gauge theory, thefree theory around flat space is already non-trivial and in a sense already displays some spon-taneous symmetry breaking. We show that the fluctuating fields form multiplets whose massmatrices imply that the fields propagate into each other not only with the expected 1/p2butalso through propagators with improved ultraviolet properties, namely 1/p4and 1/p6, despitethe fact that the action contains a maximum of two space-time derivatives.
Morris, Timothy
a9927d31-7a12-4188-bc35-1c9d3a03a6a6
Kellett, Matthew Peter
45588983-7fa8-4eb1-abdf-f782d3bfe6ad
Morris, Timothy
a9927d31-7a12-4188-bc35-1c9d3a03a6a6
Kellett, Matthew Peter
45588983-7fa8-4eb1-abdf-f782d3bfe6ad
Morris, Timothy and Kellett, Matthew Peter
(2020)
Parisi-Sourlas supergravity.
Pre-print.
(In Press)
Abstract
A manifestly diffeomorphism invariant exact renormalization group requires extra diffeo-morphism invariant ultraviolet regularisation at some effective cutoff scale Λ. This motivatesconstruction of a ‘Parisi-Sourlas’ supergravity, in analogy with the gauge theory case, where thesuperpartner fields have the wrong spin-statistics such that they can become Pauli-Villars regu-lator fields after spontaneous symmetry breaking. We show that in contrast to gauge theory, thefree theory around flat space is already non-trivial and in a sense already displays some spon-taneous symmetry breaking. We show that the fluctuating fields form multiplets whose massmatrices imply that the fields propagate into each other not only with the expected 1/p2butalso through propagators with improved ultraviolet properties, namely 1/p4and 1/p6, despitethe fact that the action contains a maximum of two space-time derivatives.
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Parisi-Sourlas supergravity
- Accepted Manuscript
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Accepted/In Press date: 31 July 2020
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Local EPrints ID: 443227
URI: http://eprints.soton.ac.uk/id/eprint/443227
PURE UUID: cd1ed346-828f-4750-a308-e3c42a0a39b8
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Date deposited: 18 Aug 2020 16:30
Last modified: 13 Dec 2021 02:33
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Author:
Matthew Peter Kellett
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