Adiabatic regularisation for scalar fields with arbitrary coupling to the scalar curvature

Bunch, T S

doi:10.1088/0305-4470/13/4/022

Cited by 199 publications

(296 citation statements)

References 14 publications

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“…This allows us to analyze cases where even the adiabatic vacuum does not exist in the asymptotic future, in other words, regimes where the scalar mass and electric force are much smaller than the Hubble scale and thus the scalar excitations are not well described as particles. Upon computing the expectation value of the current whose formal expression has ultraviolet divergences, we use the method of adiabatic subtraction [15][16][17][18][19][20] in order to remove the infinities. Under strong electric fields, i.e.…”

Section: Jhep10(2014)166mentioning

confidence: 99%

“…terms without ζ) is well-behaved. In order to regularize the divergences, we use the method of adiabatic subtraction [15][16][17][18][19][20]. The idea here is to compute quantities in the limit of slow variation of the background, then subtract their contributions from the formal expressions to obtain a finite result.…”

Section: Jhep10(2014)166mentioning

confidence: 99%

“…We also remark that, since the formal expression of J 0 vanishes, and also J i is homogeneous, it is clear that the adiabatic subtraction does not spoil the current conservation. Detailed discussions on the method of adiabatic subtraction can be found in, e.g., [15][16][17][18][19][20].…”

Section: Jhep10(2014)166mentioning

confidence: 99%

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Schwinger effect in 4D de Sitter space and constraints on magnetogenesis in the early universe

Kobayashi

Afshordi

2014

J. High Energ. Phys.

141

229

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We investigate pair creation by an electric field in four-dimensional de Sitter space. The expectation value of the induced current is computed, using the method of adiabatic regularization. Under strong electric fields the behavior of the current is similar to that in flat space, while under weak electric fields the current becomes inversely proportional to the mass squared of the charged field. Thus we find that the de Sitter space obtains a large conductivity under weak electric fields in the presence of a charged field with a tiny mass. We then apply the results to constrain electromagnetic fields in the early universe. In particular, we study cosmological scenarios for generating large-scale magnetic fields during the inflationary era. Electric fields generated along with the magnetic fields can induce sufficiently large conductivity to terminate the phase of magnetogenesis. For inflationary magnetogenesis models with a modified Maxwell kinetic term, the generated magnetic fields cannot exceed 10 −30 G on Mpc scales in the present epoch, when a charged field carrying an elementary charge with mass of order the Hubble scale or smaller exists in the Lagrangian. Similar constraints from the Schwinger effect apply for other magnetogenesis mechanisms.

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Section: Jhep10(2014)166mentioning

confidence: 99%

Section: Jhep10(2014)166mentioning

confidence: 99%

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Schwinger effect in 4D de Sitter space and constraints on magnetogenesis in the early universe

Kobayashi

Afshordi

2014

J. High Energ. Phys.

141

229

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“…Our method has all the benefits of the popular adiabatic subtraction technique [67][68][69], but it does not require the lengthy expressions needed in adiabatic subtraction and is physically more meaningful.…”

Section: Jhep01(2017)133mentioning

confidence: 99%

“…Here we give the explicit n-dimensional counter terms for the energy momentum of a noninteracting scalar field in de Sitter space and the fourth order adiabatic mode as defined by the adiabatic subtraction technique [59,[67][68][69]73].…”

Section: A Adiabatic Counter Terms In De Sittermentioning

confidence: 99%

Massive scalar field evolution in de Sitter

Markkanen

Rajantie

2017

J. High Energ. Phys.

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The behaviour of a massive, non-interacting and non-minimally coupled quantised scalar field in an expanding de Sitter background is investigated by solving the field evolution for an arbitrary initial state. In this approach there is no need to choose a vacuum in order to provide a definition for particle states, nor to introduce an explicit ultraviolet regularization. We conclude that the expanding de Sitter space is a stable equilibrium configuration under small perturbations of the initial conditions. Depending on the initial state, the energy density can approach its asymptotic value from above or below, the latter of which implies a violation of the weak energy condition. The backreaction of the quantum corrections can therefore lead to a phase of super-acceleration also in the non-interacting massive case.

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Divergences in a nonsteady universe

Бронников

1983

Soviet Physics Journal

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Adiabatic regularisation for scalar fields with arbitrary coupling to the scalar curvature

Cited by 199 publications

References 14 publications

Schwinger effect in 4D de Sitter space and constraints on magnetogenesis in the early universe

Schwinger effect in 4D de Sitter space and constraints on magnetogenesis in the early universe

Massive scalar field evolution in de Sitter

Divergences in a nonsteady universe

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