General-relativistic quantum field theory: An exactly soluble model

Candelas, Philip; Raine, Derek

doi:10.1103/physrevd.12.965

Cited by 242 publications

(279 citation statements)

References 8 publications

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“…Therefore our stochastic renormalization conventions agree with the full theory in the regime of significant late time effects, just as they should. Up to some different renormalization conventions, our expression for the scalar effective potential agrees with equation (40) of Candelas and Raine [31],…”

Section: Stochastic Effective Actionsupporting

confidence: 65%

“…5 It also lacks the subtle gauge fixing problems of SQED [25] and gravity [26,18]. In this paper we have exploited the classic solution of Candelas and Raine [31] to derive the Yukawa stochastic effective potential V (ϕ) (59). We have checked the technique with an explicit two loop computation of the coincident vertex function.…”

Section: Discussionmentioning

confidence: 99%

“…Of course the final term in (46) is also related to the effective potential (it is −V ′ eff (ϕ) √ −g) and has appeared many times before in this guise [31,33,34]. The factor of Γ(1 − D 2 ) in equation (46) is the only divergence we shall see in the stochastic formalism.…”

Section: Stochastic Effective Actionmentioning

confidence: 99%

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Leading log solution for inflationary Yukawa theory

2006

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We generalize Starobinskiȋ's stochastic technique to the theory of a massless, minimally coupled scalar interacting with a massless fermion in a locally de Sitter geometry. The scalar is an "active" field that can engender infrared logarithms. The fermion is a "passive" field that cannot cause infrared logarithms but which can carry them, and which can also induce new interactions between the active fields. The procedure for dealing with passive fields is to integrate them out, then stochastically simplify the resulting effective action following Starobinskiȋ. Because Yukawa theory is quadratic in the fermion this can be done explicitly using the classic solution of Candelas and Raine. We check the resulting stochastic formulation against an explicit two loop computation. We also derive a nonperturbative, leading log result for the stress tensor. Because the scalar effective potential induced by fermions is unbounded below, back-reaction from this model might dynamically cancel an arbitrarily large cosmological constant.

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Section: Stochastic Effective Actionsupporting

confidence: 65%

Section: Discussionmentioning

confidence: 99%

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Leading log solution for inflationary Yukawa theory

2006

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“…For a generic scalar field φ of mass m propagating in 2D de Sitter spacetime, Eq. (81) is [2,23] (1 − P 2 ) d 2 dP 2 − 2P d dP − m 2 λ 2 G(P ) = 0 .…”

Section: Discussionmentioning

confidence: 99%

Two-dimensional dS/CFT correspondence

Cadoni¹,

Carta²,

Cavaglià

et al. 2002

Phys. Rev. D

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We investigate de Sitter/conformal field theory (dS/CFT) correspondence in two dimensions. We define the conserved mass of de Sitter spacetime and formulate the correspondence along the lines of anti-de Sitter/conformal field theory duality. Asymptotic symmetry group, mass, and central charge of de Sitter spacetime are equal to those of anti-de Sitter spacetime. The entropy of two-dimensional de Sitter spacetime is evaluated by applying Cardy formula. We calculate the boundary correlators induced by the propagation of the dilaton in two-dimensional de Sitter space. Although the dilaton is a tachyonic perturbation in the bulk, boundary conformal correlators have positive dimension. *

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“…A natural gravitational analog of the constant electromagnetic field case is a theory in a manifold with a constant curvature [8,9]. de Sitter (dS) and anti de Sitter (AdS) spaces provide such a background and in this paper we apply such a large-order perturbation theory analysis to the effective action for a massive scalar field (the analysis for spinors is very similar) in a de Sitter or anti de Sitter background.…”

Section: Introductionmentioning

confidence: 99%

Large-order perturbation theory and de Sitter/anti–de Sitter effective actions

Das

Dunne

2006

Phys. Rev. D

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We analyze the large-order behavior of the perturbative weak-field expansion of the effective Lagrangian density of a massive scalar in de Sitter and anti de Sitter space, and show that this perturbative information is not sufficient to describe the non-perturbative behavior of these theories, in contrast to the analogous situation for the Euler-Heisenberg effective Lagrangian density for charged scalars in constant electric and magnetic background fields. For example, in even dimensional de Sitter space there is particle production, but the effective Lagrangian density is nevertheless real, even though its weak-field expansion is a divergent non-alternating series whose formal imaginary part corresponds to the correct particle production rate. This apparent puzzle is resolved by considering the full non-perturbative structure of the relevant Feynman propagators, and cannot be resolved solely from the perturbative expansion. * Electronic address: das@pas.rochester.edu † Electronic address: dunne@phys.uconn.edu

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General-relativistic quantum field theory: An exactly soluble model

Cited by 242 publications

References 8 publications

Leading log solution for inflationary Yukawa theory

Leading log solution for inflationary Yukawa theory

Two-dimensional dS/CFT correspondence

Large-order perturbation theory and de Sitter/anti–de Sitter effective actions

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