Conformally invariant wave equations and massless fields in de Sitter spacetime

Behroozi, Samad; Rouhani, S.; Takook, M. V.; Tanhayi, Mohammad Reza

doi:10.1103/physrevd.74.124014

Cited by 49 publications

(57 citation statements)

References 23 publications

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“…This CI equation is similar to the gauge-fixed wave equation for the vector field∂ · K α [6,24]. We are now in a position to write CI system for dS field K αβ .…”

Section: Dirac's Six-cone Conformally Invariant Equationsmentioning

confidence: 99%

“…Wave equations, subsidiary conditions, etc., must be expressed in terms of operators that are defined intrinsically on the cone. These are well-defined operators that map tensor fields on tensor fields with the same rank on cone u 2 = 0 [6,21]. It is important to note that on the cone u 2 = 0, the second order Casimir operator of conformal group, Q 2 , is not a suitable operator to obtain CI wave equations.…”

Section: Dirac's Six-cone Conformally Invariant Equationsmentioning

confidence: 99%

“…We have shown [6], for scalar and vector fields, the simplest CI system of equations is obtained through setting n = 1 in (3.3), i.e. the field with conformal-degree −1, resulting equations are the UIR's of SO (1,4).…”

Section: Dirac's Six-cone Conformally Invariant Equationsmentioning

confidence: 99%

“…where 6) note that S is the symmetrizer operator and K is a vector field. It is clear that the field equation (2.5) is invariant under the following gauge transformation…”

Section: De Sitter Field Equationsmentioning

confidence: 99%

“…In the previous paper, the conformally invariant (CI) wave equations for scalar and vector fields in dS space were obtained [6]. We are interested in the conformal invariance properties of "massless" spin-2 field in dS space, i.e.…”

Section: Introductionmentioning

confidence: 99%

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Conformally invariant “massless” spin-2 field in the de Sitter universe

et al. 2008

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Abstract"Massless" spin-2 field equation in de Sitter space, which is invariant under the conformal transformation, has been obtained. The frame work utilized is the symmetric rank-2 tensor field of the conformal group. Our method is based on the group theoretical approach and six-cone formalism, initially introduced by Dirac. Dirac's six-cone is used to obtain conformally invariant equations on de Sitter space. The solution of the physical sector of massless spin-2 field (linear gravity) in de Sitter ambient space is written as a product of a generalized polarization tensor and a massless minimally coupled scalar field. Similar to the minimally coupled scalar field, for quantization of this sector, the Krein space quantization is utilized. We have calculated the physical part of the linear graviton two-point function. This two-point function is de Sitter invariant and free of pathological large distance behavior.

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“…This CI equation is similar to the gauge-fixed wave equation for the vector field∂ · K α [6,24]. We are now in a position to write CI system for dS field K αβ .…”

Section: Dirac's Six-cone Conformally Invariant Equationsmentioning

confidence: 99%

Section: Dirac's Six-cone Conformally Invariant Equationsmentioning

confidence: 99%

Section: Dirac's Six-cone Conformally Invariant Equationsmentioning

confidence: 99%

“…where 6) note that S is the symmetrizer operator and K is a vector field. It is clear that the field equation (2.5) is invariant under the following gauge transformation…”

Section: De Sitter Field Equationsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Conformally invariant “massless” spin-2 field in the de Sitter universe

et al. 2008

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A brief review on the problem of divergence in Krein space quantization

Payandeh

Moghaddam

Fathi

2012

Fortschritte der Physik

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In this paper we have a brief review on the problem of divergence in quantum field theory and its elimination using the method of Krein space quantization. In this method, the auxiliary negative frequency states have been utilized, the modes of which do not interact with the physical states and are not affected by the physical boundary conditions. It is remarkable that Krein space quantization is similar to Pauli-Villars regularization, so we can call it the "Krein regularization". Considering the QED in Krein space quantization, it could be shown that the theory is automatically regularized. Calculation of the three primitive divergent integrals, the vacuum polarization, electron self energy and vertex function using Krein space method leads to finite values, since the infrared and ultraviolet divergencies do not appear. For another example, the Casimir stress on a spherical shell in de Sitter spacetime for a massless scalar field could be calculated using Krein space quantization. *

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