2014/10/21 by Martin Kober, Kober, Martin
Physics and Astronomy · #Black Holes and Theoretical Physics #FOS: Physical sciences #General Physics (physics.gen-ph) #Noncommutative and Quantum Gravity Theories #Quantum Electrodynamics and Casimir Effect
paper · pdf · doi:10.48550/arxiv.1504.03225
openalex publication_date 2014/10/21 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
In this paper a nonlocal generalization of field quantization is suggested.\nThis quantization principle presupposes the assumption that the commutator\nbetween a field operator an the operator of the canonical conjugated variable\nreferring to other space-time points does not vanish as it is postulated in the\nusual setting of quantum field theory. Based on this presupposition the\ncorresponding expressions for the field operators, the eigenstates and the path\nintegral formula are determined. The nonlocal quantization principle also leads\nto a generalized propagator. If the dependence of the commutator between\noperators on different space-time points on the distance of these points is\nassumed to be described by a Gaussian function, one obtains that the propagator\nis damped by an exponential. This leads to a disappearance of UV divergences.\nThe transfer of the nonlocal quantization principle to canonical quantum\ngravity is considered as well. In this case the commutator has to be assumed to\ndepend also on the gravitational field, since the distance between two points\ndepends on the metric field.\n