Giuseppe Bimonte et al 2004 Class. Quantum Grav. 21 647 doi:10.1088/0264-9381/21/2/022
On the photon Green functions in curved spacetime
Giuseppe Bimonte1,2, Enrico Calloni1,2, Luciano Di Fiore2,1, Giampiero Esposito2,1, Leopoldo Milano1,2 and Luigi Rosa1,2
Show affiliationsQuantization of electrodynamics in curved spacetime in the Lorentz gauge and with arbitrary gauge parameter makes it necessary to study Green functions of non-minimal operators with variable coefficients. Starting from the integral representation of photon Green functions, we link them to the evaluation of integrals involving Γ-functions. Eventually, the full asymptotic expansion of the Feynman photon Green function at small values of the world function, as well as its explicit dependence on the gauge parameter, are obtained without adding by hand a mass term to the Faddeev–Popov Lagrangian. Coincidence limits of the second covariant derivatives of the associated Hadamard function are also evaluated, as a first step towards the energy–momentum tensor in the non-minimal case.
- PACS
- MSC
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41A60 Asymptotic approximations, asymptotic expansions (steepest descent, etc.) (See also 30E15)
- Subjects
- Dates
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Issue 2 (21 January 2004)
Received 3 October 2003
Published 10 December 2003
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On the photon Green functions in curved spacetime
Giuseppe Bimonte et al 2004 Class. Quantum Grav. 21 647
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