2019
DOI: 10.1016/j.physletb.2019.04.059
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On thermal field fluctuations in ghost-free theories

Abstract: We study the response of a scalar thermal field to a δ-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 δ-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… Show more

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Cited by 14 publications
(7 citation statements)
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“…This simple example shows in a clear fashion how causality is violated in nonlocal theories. We remand the reader to the literature [81][82][83][84][85] for a detailed discussion of the causality violation in the scattering amplitudes.…”
Section: )mentioning
confidence: 99%
“…This simple example shows in a clear fashion how causality is violated in nonlocal theories. We remand the reader to the literature [81][82][83][84][85] for a detailed discussion of the causality violation in the scattering amplitudes.…”
Section: )mentioning
confidence: 99%
“…This allows the intriguing possibility of observing this nonlocal scale at low energies, allowing us to constrain or falsify the theory [54,55]. Furthermore, infinite derivative theories have very interesting quantum properties at finite temperatures [56][57][58][59][60], which mimics some properties of the Hagedorn behavior of strings at temperatures above the string scale. In addition to all these developments, it is important to study classical perturbations of IDG in four spacetime dimensions.…”
Section: Introductionmentioning
confidence: 98%
“…IDG theories are also motivated from particle limit of strings [17][18][19], and have been argued to have no singular static solution. At a quantum level, infinite derivative field theories, with similar propagator, bring softening of UV divergences [20][21][22][23][24][25][26][27][28][29][30] such as shifting the scale of non-locality with large number of external legs interacting non-locally [31].…”
Section: Introductionmentioning
confidence: 99%