Scalar contribution to the graviton self-energy during inflation

Park, Sohyun; Woodard, R. P.

doi:10.1103/physrevd.83.084049

Cited by 42 publications

(62 citation statements)

References 87 publications

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“…The same ln(a) enhancement was found for massless fermions [48,47,50], and was explicitly tied to the spin interaction [49]. In contrast, massless, minimally coupled scalars neither experience any significant effect from inflationary gravitons [51,52], nor do they induce a significant effect on inflationary gravitons [53,54,55]. Gravitons also have spin so it would be very interesting to see what they do to themselves, as well as to the force of gravity.…”

Section: Discussionmentioning

confidence: 62%

Excitation of photons by inflationary gravitons

Wang

Woodard

2015

Phys. Rev. D

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We use a recent result for the graviton contribution to the one loop vacuum polarization to solve the effective field equations for dynamical photons on de Sitter background. Our results show that the electric field experiences a secular enhancement proportional to the number of inflationary e-foldings. We discuss the minimum this establishes for primordial inflation to seed cosmic magnetic fields.

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Section: Discussionmentioning

confidence: 62%

Excitation of photons by inflationary gravitons

Wang

Woodard

2015

Phys. Rev. D

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“…The most singular terms in the contractions (2−3) a , (3−1) and (3−2) are integrable after exacting out derivatives 12 . Because the contraction (3-3) involves various double derivatives directly acting on iδ∆ A we would give their expressions here,…”

Section: Sub-leading Contributions From Iδ∆ Amentioning

confidence: 99%

Quantum gravitational effects on massive fermions during inflation

Miao¹

2012

Phys. Rev. D

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We compute the one loop graviton contribution to the self-energy of a very light fermion on a locally de Sitter background. This result can be used to study the effect that a small mass has on the propagation of fermions through the sea of infrared gravitons generated by inflation. We employ dimensional regularization and obtain a fully renormalized result by absorbing all divergences with BPHZ counterterms. An interesting technical aspect of this computation is the need for two noninvariant counterterms owing to the breaking of de Sitter invariance by our gauge condition.

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“…Sitter [18,39,41,42] and anti-de Sitter [41,43] spacetimes, as well as hot flat space and Schwarzschild spacetime in the coincidence limit [44]. In this paper we compute expressions for the noise kernel in hot flat space and Schwarzschild spacetime using the same Gaussian approximation for the Wightman function of the quantum matter field that was used in…”

Section: Introductionmentioning

confidence: 99%

Noise kernel for a quantum field in Schwarzschild spacetime under the Gaussian approximation

et al. 2012

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A method is given to compute an approximation to the noise kernel, defined as the symmetrized connected 2-point function of the stress tensor, for the conformally invariant scalar field in any spacetime conformal to an ultra-static spacetime for the case in which the field is in a thermal state at an arbitrary temperature. The most useful applications of the method are flat space where the approximation is exact and Schwarzschild spacetime where the approximation is better than it is in most other spacetimes. The two points are assumed to be separated in a timelike or spacelike direction. The method involves the use of a Gaussian approximation which is of the same type as that used by Page [1] to compute an approximate form of the stress tensor for this field in Schwarzschild spacetime. All components of the noise kernel have been computed exactly for hot flat space and one component is explicitly displayed. Several components have also been computed for Schwarzschild spacetime and again one component is explicitly displayed.

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Scalar contribution to the graviton self-energy during inflation

Cited by 42 publications

References 87 publications

Excitation of photons by inflationary gravitons

Excitation of photons by inflationary gravitons

Quantum gravitational effects on massive fermions during inflation

Noise kernel for a quantum field in Schwarzschild spacetime under the Gaussian approximation

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