A generalized bag-like boundary condition for fields with arbitrary spin

Stokes, A. and Bennett, R. (2015) A generalized bag-like boundary condition for fields with arbitrary spin. New Journal of Physics, 17(7), 073012. (doi: 10.1088/1367-2630/17/7/073012)

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Boundary conditions (BCs) for the Maxwell and Dirac fields at material surfaces are widely-used and physically well-motivated, but do not appear to have been generalized to deal with higher spin fields. As a result there is no clear prescription as to which BCs should be selected in order to obtain physically-relevant results pertaining to confined higher spin fields. This lack of understanding is significant given that boundary-dependent phenomena are ubiquitous across physics, a prominent example being the Casimir effect. Here, we use the two-spinor calculus formalism to present a unified treatment of BCs routinely employed in the treatment of spin-$1/2$ and spin-1 fields. We then use this unification to obtain a BC that can be applied to massless fields of any spin, including the spin-2 graviton, and its supersymmetric partner the spin-$3/2$ gravitino.

Item Type:Articles
Additional Information:Financial support from the UK Engineering and Physical Sciences Research Council (EPSRC) is greatly appreciated.
Glasgow Author(s) Enlighten ID:Bennett, Dr Robert
Authors: Stokes, A., and Bennett, R.
College/School:College of Science and Engineering > School of Physics and Astronomy
Journal Name:New Journal of Physics
Publisher:IOP Publishing
ISSN (Online):1367-2630
Published Online:09 July 2015
Copyright Holders:Copyright © 2015 IOP Publishing Ltd and Deutsche Physikalische Gesellschaft
First Published:First published in New Journal of Physics 17(7): 073012
Publisher Policy:Reproduced under a Creative Commons License

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