Generalised conservation laws in non-local field theories

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 curre...

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Bibliographic Details
Published in:arXiv.org 2016-03
Main Authors: Kegeles, Alexander, Oriti, Daniele
Format: Article
Language:English
Subjects:
Bose-Einstein condensates
Conservation laws
Field theory
Quantum gravity
Quantum theory
Online Access:Get full text
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Summary: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.
ISSN:2331-8422