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Phys. Rev. D 60, 065001 (1999) [5 pages]

Regularizing property of the maximal acceleration principle in quantum field theory

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V. V. Nesterenko*
Bogoliubov Laboratory of Theoretical Physics, JINR, Dubna, 141980, Russia

A. Feoli
Facoltà d’Ingegneria, Università del Sannio, 82100 Benevento, Italy
Istituto Nazionale di Fisica Nucleare, Sezione di Napoli, 80126 Napoli, Italy

G. Lambiase and G. Scarpetta
Dipartimento di Scienze Fisiche “E.R. Caianiello,” Università di Salerno, 84081 Baronissi (SA), Italy
Istituto Nazionale di Fisica Nucleare, Sezione di Napoli, 80126 Napoli, Italy

Received 15 December 1998; published 9 August 1999

It is shown that the introduction of an upper limit to the proper acceleration of a particle can smooth the problem of ultraviolet divergences 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. One may hope that using the Green’s function connected to these wave equations as propagators will improve the convergence properties of Feynman integrals.

© 1999 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevD.60.065001
DOI:
10.1103/PhysRevD.60.065001
PACS:
03.70.+k, 03.65.Pm

*Email address: nestr@thsun1.jinr.ru

Email address: lambiase@physics.unisa.it