Phys. Rev. A 76, 032110 (2007) [8 pages]Canonical formalism and quantization of the perturbative sector of higher-derivative theoriesReceived 9 February 2007; published 11 September 2007 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. © 2007 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevA.76.032110
DOI:
10.1103/PhysRevA.76.032110
PACS:
03.65.−w, 04.60.Ds
See AlsoComment: Kwang-Hua W. Chu, Comment on “Canonical formalism and quantization of the perturbative sector of higher-derivative theories”, Phys. Rev. A 77, 026103 (2008). Comment: K. Andrzejewski, K. Bolonek, J. Gonera, and P. Maslanka, Reply to “Comment on ‘Canonical formalism and quantization of the perturbative sector of higher-derivative theories’ ”, Phys. Rev. A 77, 026104 (2008). |
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