Breakdown of semiclassical methods in de Sitter space

Burgess, C.P.; Holman, R.; Leblond, Louis; Shandera, Sarah

doi:10.1088/1475-7516/2010/10/017

Cited by 131 publications

(140 citation statements)

References 79 publications

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“…We should also mention that, even if a scalar has a tiny bare mass, a Hubble-induced mass can be generated [35,36]. See also discussions on effective mass in dS space in, e.g., [37][38][39][40][41]. The charged scalars need to be protected from mass corrections in order for a dS universe to actually possess large conductivity under weak electric fields.…”

Section: Comments On Very Light or Massless Scalarsmentioning

confidence: 99%

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

Kobayashi

Afshordi

2014

J. High Energ. Phys.

145

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: Comments On Very Light or Massless Scalarsmentioning

confidence: 99%

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

Kobayashi

Afshordi

2014

J. High Energ. Phys.

145

229

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“…This result can be found by simple estimation using Hartree-Fock approximation, or more rigorous stochastic approach [21][22][23][24][25][26], or through 1-loop resummation using dynamical renormalization group method [27,28] (see also [29][30][31][32] for related diagrammatic calculations). On the other hand, in the Euclidean version of dS, it was recognized that the 1-loop late-time divergence is from the improper treatment of scalar zero mode.…”

Section: Jhep08(2016)051mentioning

confidence: 99%

“…For instance, the 1-loop correction to scalar's two-point function from φ 3 interaction is more nonlocal than a mass term, and so cannot be interpreted as mass generation at all [27,28,44]. There are also studies of 1-loop correction to fields with spin other than 0.…”

Section: Jhep08(2016)051mentioning

confidence: 99%

Loop Corrections to Standard Model fields in inflation

Chen

Wang

Xianyu

2016

J. High Energ. Phys.

109

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Abstract:We calculate 1-loop corrections to the Schwinger-Keldysh propagators of Standard-Model-like fields of spin-0, 1/2, and 1, with all renormalizable interactions during inflation. We pay special attention to the late-time divergences of loop corrections, and show that the divergences can be resummed into finite results in the late-time limit using dynamical renormalization group method. This is our first step toward studying both the Standard Model and new physics in the primordial universe.

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“…Indeed, such corrections become relevant at very large values of |x| involved in convolution integrals. In particular, we emphasize the e −2ǫ|x| term in (20), which is a nontrivial contribution from modes close to the horizon in the loop integral (16) [see Appendix A] and which plays a crucial role in obtaining the analytical solution below.…”

Section: The Self-energy At Two-loopmentioning

confidence: 99%

Infrared dynamics in de Sitter space from Schwinger–Dyson equations

Gautier

Serreau

2013

Physics Letters B

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We study the two-point correlator of an O(N) scalar field with quartic self-coupling in de Sitter space. For light fields in units of the expansion rate, perturbation theory is plagued by large logarithmic terms for superhorizon momenta. We show that a proper treatment of the infinite series of self-energy insertions through the Schwinger-Dyson equations resums these infrared logarithms into power laws. We provide an exact analytical solution of the Schwinger-Dyson equations for infrared momenta when the self-energy is computed at two-loop order. Our findings encompass previously obtained results using either stochastic or Euclidean approaches. The obtained correlator exhibits a rich structure with a superposition of free-field-like power laws. We extract mass and field-strength renormalization factors from the asymptotic infrared behavior. The latter are nonperturbative in the coupling in the case of a vanishing tree-level mass.

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Breakdown of semiclassical methods in de Sitter space

Cited by 131 publications

References 79 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

Loop Corrections to Standard Model fields in inflation

Infrared dynamics in de Sitter space from Schwinger–Dyson equations

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