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  Generalised conservation laws in non-local field theories

Oriti, D., & Kegeles, A. (2016). Generalised conservation laws in non-local field theories. Journal of Physics A: Mathematical and Theoretical, 49(13): 135401. doi:10.1088/1751-8113/49/13/135401.

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Item Permalink: http://hdl.handle.net/11858/00-001M-0000-0027-8204-7 Version Permalink: http://hdl.handle.net/21.11116/0000-0002-F97E-9
Genre: Journal Article

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1506.03320v1.pdf (Preprint), 359KB
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Oriti, Daniele1, Author              
Kegeles, Alexander2, Author              
Affiliations:
1Microscopic Quantum Structure & Dynamics of Spacetime, AEI-Golm, MPI for Gravitational Physics, Max Planck Society, ou_67201              
2Quantum Gravity & Unified Theories, AEI-Golm, MPI for Gravitational Physics, Max Planck Society, ou_24014              

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 Abstract: We propose a geometrical treatment of symmetries in non-local field theories, where the non-locality is due to a lack of identification of field arguments in the action. We show that the existence of a symmetry of the action leads to a generalised conservation law, in which the usual conserved current acquires an additional non-local correction term, obtaining a generalisation of the standard Noether theorem. We illustrate the general formalism by discussing the specific physical example of complex scalar field theory of the type describing the hydrodynamic approximation of Bose-Einstein condensates. We expect our analysis and results to be of particular interest for the group field theory formulation of quantum gravity.

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 Dates: 20152016
 Publication Status: Published in print
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 Identifiers: arXiv: 1506.03320
DOI: 10.1088/1751-8113/49/13/135401
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Title: Journal of Physics A: Mathematical and Theoretical
Source Genre: Journal
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Pages: - Volume / Issue: 49 (13) Sequence Number: 135401 Start / End Page: - Identifier: -