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Equivalence between the in-in perturbation theories for quantum fields in Minkowski spacetime and in the Rindler wedge

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JournalPhysical Review D - Particles, Fields, Gravitation and Cosmology
DateAccepted/In press - 25 Feb 2020
DatePublished (current) - 17 Mar 2020
Volume101
Number of pages12
Original languageEnglish

Abstract

We investigate the relation between the time-ordered vacuum correlation functions for interacting real scalar fields in Minkowski spacetime and in the Rindler wedge. The correlation functions are constructed perturbatively within the in-in formalism, often employed in calculations in more general spacetimes. We prove to all orders in perturbation theory that the time-ordered vacuum correlation functions can be calculated in the in-in formalism with internal vertices restricted to any Rindler wedge containing the external points. This implies that the Minkowski in-in (or in-out) perturbative expansion of the vacuum correlation functions is reproduced by the Rindler in-in perturbative expansion of these correlators in a thermal state at the Unruh temperature.

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    Research areas

  • Perturbation theory, Quantum fields in curved spacetime, Unruh effect

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