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Phys. Rev. Lett. 93, 090402 (2004) [4 pages]

Bohmian Mechanics and Quantum Field Theory

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Detlef Dürr1,*, Sheldon Goldstein2,†, Roderich Tumulka3,‡, and Nino Zanghì3,§
1Mathematisches Institut der Universität München, Theresienstraße 39, 80333 München, Germany
2Departments of Mathematics and Physics, Hill Center, Rutgers, The State University of New Jersey, 110 Frelinghuysen Road, Piscataway, New Jersey 08854-8019, USA
3Dipartimento di Fisica dell’Università di Genova and INFN sezione di Genova, Via Dodecaneso 33, 16146 Genova, Italy

Received 25 March 2003; revised 3 October 2003; published 23 August 2004

We discuss a recently proposed extension of Bohmian mechanics to quantum field theory. For more or less any regularized quantum field theory there is a corresponding theory of particle motion, which, in particular, ascribes trajectories to the electrons or whatever sort of particles the quantum field theory is about. Corresponding to the nonconservation of the particle number operator in the quantum field theory, the theory describes explicit creation and annihilation events: the world lines for the particles can begin and end.

© 2004 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevLett.93.090402
DOI:
10.1103/PhysRevLett.93.090402
PACS:
03.65.Ta, 03.70.+k, 11.10.–z

*Electronic address: duerr@mathematik.uni-muenchen.de

†Electronic address: oldstein@math.rutgers.edu

‡Electronic address: tumulka@mathematik.uni-muenchen.de

§Electronic address: zanghi@ge.infn.it

 
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