Conformal use of retarded Green’s functions for the Maxwell field in de Sitter space

Faci, Salim; Huguet, E.; Renaud, Jacques

doi:10.1103/physrevd.84.124050

Cited by 10 publications

(18 citation statements)

References 18 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…For example, the naive formula for calculating the retarded response to a source gives a wrong answer [33][34][35] . When contributions from the initial surface are properly taken into account, the correct response is obtained using the retarded Green's function with any ξ 22,23,36 . (A related issue are initial state corrections, which can be most easily resolved by taking either an adiabatic vacuum state at past infinity, enforced by an iǫ prescription 37,38 , or using the Euclidean/Hartle-Hawking vacuum [39][40][41] .…”

Section: Discussionmentioning

confidence: 99%

Mode-sum construction of the two-point functions for the Stueckelberg vector fields in the Poincaré patch of de Sitter space

Fröb

Higuchi

2014

Journal of Mathematical Physics

View full text Add to dashboard Cite

We perform canonical quantization of the Stueckelberg Lagrangian for massive vector fields in the conformally flat patch of de Sitter space in the Bunch-Davies vacuum and find their Wightman two-point functions by the mode-sum method. We discuss the zero-mass limit of these two-point functions and their limits where the Stueckelberg parameter ξ tends to zero or infinity. It is shown that our results reproduce the standard flat-space propagator in the appropriate limit. We also point out that the classic work of Allen and Jacobson for the two-point function of the Proca field and a recent work by Tsamis and Woodard for that of the transverse vector field are two limits of our two-point function, one for ξ → ∞ and the other for ξ → 0. Thus, these two works are consistent with each other, contrary to the claim by the latter authors.

show abstract

Section: Discussionmentioning

confidence: 99%

Mode-sum construction of the two-point functions for the Stueckelberg vector fields in the Poincaré patch of de Sitter space

Fröb

Higuchi

2014

Journal of Mathematical Physics

View full text Add to dashboard Cite

show abstract

“…where (s) f is the scalar Laplace-Beltrami operator on X f and in which both the a f 's and the j f 's belongs to the set B * f of the sections of B * f . These equations reduce (when the two constraints of (6) are applied) to the Maxwell equations and the Eastwood-Singer condition (7). However they are more easier to handle.…”

Section: Geometry and The Maxwell Fieldmentioning

confidence: 99%

Conformally invariant formalism for the electromagnetic field with currents in Robertson-Walker spaces

Huguet

Renaud

2013

Journal of Mathematical Physics

Self Cite

View full text Add to dashboard Cite

Electromagnetic fields produced by moving sources in a curved beam pipe Laplacian in the hyperbolic space H n and linearization stability of the Einstein equation for Robertson-Walker modelsWe show that the Laplace-Beltrami equation 6 a = j in (R 6 , η), η := diag( + − − − − +), leads under very moderate assumptions to both the Maxwell equations and the conformal Eastwood-Singer gauge condition on conformally flat spaces including the spaces with a Robertson-Walker metric. This result is obtained through a geometric formalism which gives, as byproduct, simplified calculations. In particular, we build an atlas for all the conformally flat spaces considered which allows us to fully exploit the Weyl rescalling to Minkowski space. C 2013 American Institute of Physics. [http://dx.

show abstract

“…In Refs. [27,28], one can find the conformally covariant quantization of the gauge field in dS space.…”

Section: Introductionmentioning

confidence: 99%

Conformally covariant vector–spinor field in de Sitter space

2014

View full text Add to dashboard Cite

In this paper, we study conformally invariant field equations for a vector-spinor spin− 3 2 field in the de Sitter space-time. The solutions are also obtained in terms of the de Sitter-Dirac plane waves. The related two-point functions are calculated in both the de Sitter ambient space formalism and intrinsic coordinates. In order to study the conformal invariance, Dirac's six-cone formalism is utilized in which the field equations are expressed in a manifestly conformal way in 4+2-dimensional conformal space and then followed by a projection to the de Sitter space.

show abstract

Conformal use of retarded Green’s functions for the Maxwell field in de Sitter space

Cited by 10 publications

References 18 publications

Mode-sum construction of the two-point functions for the Stueckelberg vector fields in the Poincaré patch of de Sitter space

Mode-sum construction of the two-point functions for the Stueckelberg vector fields in the Poincaré patch of de Sitter space

Conformally invariant formalism for the electromagnetic field with currents in Robertson-Walker spaces

Conformally covariant vector–spinor field in de Sitter space

Contact Info

Product

Resources

About