Canonical formalism and quantization of the perturbative sector of higher-derivative theories

K. Andrzejewski, K. Bolonek, J. Gonera, and P. Maślanka
Phys. Rev. A 76, 032110 – Published 11 September 2007

Abstract

The theories defined by Lagrangians containing a second time derivative are considered. It is shown that if the second derivatives enter only the terms multiplied by coupling constant one can consistently define the perturbative sector via Dirac procedure. The possibility of introducing standard canonical variables is analyzed in detail. The ambiguities in quantization procedure are pointed out.

  • Received 9 February 2007

DOI:https://doi.org/10.1103/PhysRevA.76.032110

©2007 American Physical Society

Authors & Affiliations

K. Andrzejewski, K. Bolonek, J. Gonera, and P. Maślanka

  • Department of Theoretical Physics II, Institute of Physics, University of Łódź, Pomorska 149/153, 90-236 Łódź, Poland

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Issue

Vol. 76, Iss. 3 — September 2007

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