Proper time and path integral representations for the commutation function
- 1 July 1996
- journal article
- Published by AIP Publishing in Journal of Mathematical Physics
- Vol. 37 (7) , 3118-3130
- https://doi.org/10.1063/1.531559
Abstract
On the example of the quantized spinor field, interacting with arbitrary external electromagnetic field, the commutation function is studied. It is shown that a proper time representation is available in any dimensions. Using it, all the light cone singularities of the function are found explicitly, generalizing the Fock formula in four dimensions, and a path integral representation is constructed.Keywords
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This publication has 17 references indexed in Scilit:
- Quantum field theory in curved spacetimePublished by Elsevier ,2002
- Path-integral representation for the relativistic particle propagators and BFV quantizationPhysical Review D, 1991
- The generalized Schwinger-Dewitt technique in gauge theories and quantum gravityPhysics Reports, 1985
- Relativistic quantum mechanics of supersymmetric particlesAnnals of Physics, 1982
- Furry Picture for Quantum Electrodynamics with Pair‐Creating External FieldFortschritte der Physik, 1981
- Feynman path integrals in a phase spaceUspekhi Fizicheskih Nauk, 1980
- Processes of arbitrary order in quantum electrodynamics with a pair-creating external fieldJournal of Physics A: General Physics, 1977
- Classical description of a particle interacting with a non-Abelian gauge fieldPhysical Review D, 1977
- Local supersymmetry for spinning particlesPhysics Letters B, 1976
- On Gauge Invariance and Vacuum PolarizationPhysical Review B, 1951