Regularizing Property of the Maximal Acceleration Principle in Quantum Field Theory

Details Regularizing Property of the Maximal Acceleration Principle in Quantum Field Theory Regularizing Property of the Maximal Acceleration Principle in Quantum Field Theory

1998-12-15

arxiv.org/abs/hep-th/9812130v1

Phys.Rev. D60 (1999) 065001

Physics

High Energy Physics

High Energy Physics - Theory

9 pages, REVTeX, no figures, no tables

Scientific paper

10.1103/PhysRevD.60.065001

It is shown that the introduction of an upper limit to the proper acceleration of a particle can smooth the problem of ultraviolet divergencies in local quantum field theory. For this aim, the classical model of a relativistic particle with maximal proper acceleration is quantized canonically by making use of the generalized Hamiltonian formalism developed by Dirac. The equations for the wave function are treated as the dynamical equations for the corresponding quantum field. Using the Green's function connected to these wave equations as propagators in the Feynman integrals leads to an essential improvement of their convergence properties.

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