TY  - JOUR
A1  - Kegeles, Alexander
A1  - Oriti, Daniele
T1  - Generalized conservation laws in non-local field theories
JF  - Journal of physics : A, Mathematical and theoretical
N2  - 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 generalized conservation law, in which the usual conserved current acquires an additional non-local correction term, obtaining a generalization 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.
KW  - conservation laws
KW  - non-local field theory
KW  - Noether theorem
KW  - group field theory
Y1  - 2016
U6  - https://doi.org/10.1088/1751-8113/49/13/135401
SN  - 1751-8113
SN  - 1751-8121
VL  - 49
SP  - 119
EP  - 134
PB  - IOP Publ. Ltd.
CY  - Bristol
ER  - 
TY  - JOUR
A1  - Kegeles, Alexander
A1  - Oriti, Daniele
T1  - Continuous point symmetries in group field theories
JF  - Journal of physics : A, Mathematical and theoretical
N2  - We discuss the notion of symmetries in non-local field theories characterized by integro-differential equations of motion, from a geometric perspective. We then focus on group field theory (GFT) models of quantum gravity and provide a general analysis of their continuous point symmetry transformations, including the generalized conservation laws following from them.
KW  - group field theory
KW  - quantum field theory
KW  - conservation laws
KW  - continuous symmetries
Y1  - 2017
U6  - https://doi.org/10.1088/1751-8121/aa5c14
SN  - 1751-8113
SN  - 1751-8121
VL  - 50
IS  - 12
PB  - IOP Publishing Ltd
CY  - Bristol
ER  - 
TY  - JOUR
A1  - Kegeles, Alexander
A1  - Oriti, Daniele
A1  - Tomlin, Casey
T1  - Inequivalent coherent state representations in group field theory
JF  - Classical and quantum gravit
N2  - In this paper we propose an algebraic formulation of group field theory and consider non-Fock representations based on coherent states. We show that we can construct representations with an infinite number of degrees of freedom on compact manifolds. We also show that these representations break translation symmetry. Since such representations can be regarded as quantum gravitational systems with an infinite number of fundamental pre-geometric building blocks, they may be more suitable for the description of effective geometrical phases of the theory.
KW  - group field theory
KW  - quantum gravity
KW  - quantum field theory
KW  - spin foam models
Y1  - 2018
U6  - https://doi.org/10.1088/1361-6382/aac39f
SN  - 0264-9381
SN  - 1361-6382
VL  - 35
IS  - 12
PB  - IOP Publ. Ltd.
CY  - Bristol
ER  -