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Proper time and path integral representations for the commutation function

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arxiv hep-th/9603189 v1 pith:35JPYR67 submitted 1996-03-28 hep-th

classification hep-th
keywords functioncommutationdimensionsfieldintegralpathproperrepresentation
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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.

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  1. In-in worldline formalism in pair creating fields

    hep-th 2025-12 conditional novelty 6.0 of 10

    In-in observables in pair-creating QED backgrounds are re-expressed exactly as in-out matrix elements with a universal non-local insertion, yielding a first-quantized formula for the probability of producing N pairs.

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