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

Journal Article · Sat Mar 15 04:00:00 EDT 2008 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PHYSREVD.77.064028· OSTI ID:21249846

Dehghani, M ^[1]; Rouhani, S ^[2]; Takook, M V ^[1]; Tanhayi, M R ^[3]

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1. Department of Physics, Razi University, Kermanshah (Iran, Islamic Republic of)
2. Plasma Physics Research Center, Islamic Azad University, Tehran (Iran, Islamic Republic of)
3. Department of Physics, Islamic Azad University, Central Branch, Tehran (Iran, Islamic Republic of)

A massless spin-2 field equation in de Sitter space, which is invariant under the conformal transformation, has been obtained. The framework 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.

• OSTI ID: 21249846
• Journal Information: Physical Review. D, Particles Fields, Journal Name: Physical Review. D, Particles Fields Journal Issue: 6 Vol. 77; ISSN PRVDAQ; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
79 ASTRONOMY AND ASTROPHYSICS
CONFORMAL GROUPS
DE SITTER GROUP
FIELD EQUATIONS
GRAVITATION
MATHEMATICAL SOLUTIONS
POLARIZATION
QUANTIZATION
SCALAR FIELDS
SPIN
TENSOR FIELDS
TRANSFORMATIONS
UNIVERSE