NEW APPROACH TO THE PATH-INTEGRAL REPRESENTATION FOR THE DIRAC PARTICLE PROPAGATOR

Date

1994-11-15

Author

Alıyev, Tahmasıb
PAK, NK

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The path integral representation for the propagator of a spinning particle in an external electromagnetic field is derived using the functional derivative formalism with the help of a Weyl symbol representation. The proposed method essentially simplifies the proof of the path integral representation starting from the equation for the Green function and automatically leads to a precise and unambiguous form of the boundary conditions for the Grassmann variables and puts a strong restriction on the choice of the gauge condition. The path integral representation as in the canonical case has been obtained from the general quantization method of Batalin, Fradkin, and Vilkovisky employing a Weyl symbol representation; being the nontrivial first class constraint algebra for a Dirac particle plays an important role in this derivation. This algebra is the limiting case of the superconformal algebra for a Ramond-type open string when the width of one goes to zero.

Subject Keywords

Quantization, Mechanics

URI

https://hdl.handle.net/11511/36065

Journal

PHYSICAL REVIEW D

DOI

https://doi.org/10.1103/physrevd.50.6594

Collections

Department of Physics, Article

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Citation Formats

T. Alıyev and N. PAK, “NEW APPROACH TO THE PATH-INTEGRAL REPRESENTATION FOR THE DIRAC PARTICLE PROPAGATOR,” PHYSICAL REVIEW D, pp. 6594–6598, 1994, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/36065.