On thermal field fluctuations in ghost-free theories

Abstract

We study the response of a scalar thermal field to a $\delta$-probe in the context of non-local ghost-free theories. In these theories a non-local form factor is inserted into the kinetic part of the action which does not introduce new poles. For the case of a static $\delta$-potential we obtain an explicit expression for the thermal Hadamard function and use it for the calculation of the thermal fluctuations. We then demonstrate how the presence of non-locality modifies the amplitude of these fluctuations. Finally, we also discuss the fluctuation-dissipation theorem in the context of ghost-free quantum field theories at finite temperature.

arXiv comment8 pages, 4 figures, computer algebra code available at http://spintwo.net/static/2019.04.16/ , v2: matches the published version

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• Perturbations in higher derivative gravity beyond maximally symmetric spacetimes
• Unattainability of the Trans-Planckian regime in Nonlocal Quantum Gravity
• Form factors, spectral and Källén-Lehmann representation in nonlocal quantum gravity
• Aspects and applications of nonlocal Lorentz-violation
• Resonant particle creation by a time-dependent potential in a nonlocal theory