Quantised fields over de Sitter space

Grensing, Gerhard

doi:10.1088/0305-4470/10/10/006

Cited by 15 publications

(10 citation statements)

References 21 publications

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“…) . In fact, by considering the last term in (35) as a guideline, we choose these functions such that [a, b, c] be invariant under the action of κ,…”

Section: Ds Spinor-vector Waves a Field Equation Solutionsmentioning

confidence: 99%

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Massive Rarita-Schwinger field in de Sitter space

et al. 2019

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We present a covariant quantization of the "massive" spin-3 2 Rarita-Schwinger field in de Sitter (dS) spacetime. The dS group representation theory and its Wigner interpretation combined with the Wightman-Gärding axiomatic and analyticity requirements in the complexified pseudo-Riemanian manifold constitute the basis of the quantization scheme, while the whole procedure is carried out in terms of coordinate-independent dS plane waves. We make explicit the correspondence between unitary irreducible representations (UIRs) of the dS group and the field theory in dS spacetime: by "massive" is meant a field that carries a particular principal series representation of the dS group. We drive the plane-wave representation of the dS massive Rarita-Schwinger field in a manifestly dS-invariant manner. We show that it exactly reduces to its Minkowskian counterpart when the curvature tends to zero as far as the analyticity domain conveniently chosen. We then present the Wightman two-point function fulfilling the minimal requirements of local anticommutativity, covariance, and normal analyticity. The Hilbert space structure and the unsmeared field operator are also defined. The analyticity properties of the waves and the two-point function that we discuss in this paper allow for a detailed study of the Hilbert space of the theory, and give rise to the thermal physical interpretation.

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“…) . In fact, by considering the last term in (35) as a guideline, we choose these functions such that [a, b, c] be invariant under the action of κ,…”

Section: Ds Spinor-vector Waves a Field Equation Solutionsmentioning

confidence: 99%

“…After inserting (36) into (35) and with the help of ( 37), (38) and (39), one can easily find the following system …”

Section: Ds Spinor-vector Waves a Field Equation Solutionsmentioning

confidence: 99%

Massive Rarita-Schwinger field in de Sitter space

et al. 2019

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“…Then, one substitutes (2.60) into (2.59) to find that the quantum field Ψ (s) can be expanded in terms of creation and annihilation operators as (see [26][27][28] for details)…”

Section: General Causal Fields In Curved Space: the Vierbein Formalismmentioning

confidence: 99%

Large-scale messengers from massive higher spin fields

Anber

2018

J. High Energ. Phys.

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We show that nonperturbative production of massive higher spin fields from vacuum will accompany the generation of non-vanishing macroscopic energy-momentum tensor correlators. This argument is based on the general causal field formalism, which gives a manifestly covariant description of higher spin particles without any reference to gauge redundancy. Our findings are direct consequence of the Poincaré covariance and anlayticity of the Green's functions and independent of any detailed particle physics model. Further, we discuss the idea that any mechanism causing imbalance between the on-shell production of left-and right-handed fields leads to a helical structure in the energy momentum correlators and violation of the macroscopic parity symmetry. We check our method for fields with spin 1 2 and show that it correctly reproduces previous results. The formalism, however, suffers from pathologies related to non-localities that appear for massless particles with spin ≥ 1 in flat space. We discuss the origin of these pathologies and the relevance of our findings to cosmology.

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“…Much work has been done on formulating field theory on spaces of constant curvature (see, for example [1][2][3][4][5][6][7][8][9][10][11][12][13]). This topic has become more prominent with the introduction of the AdS/CFT conjecture [14,15].…”

Section: Introductionmentioning

confidence: 99%

Supersymmetric models on AdS₃ and AdS₄ embedding superspaces

McKeon

2013

Can. J. Phys.

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Superspace techniques are used to formulate a supersymmetric model on an AdS 3 surface embedded in four dimensions. In this model, the supersymmetry transformation is the "square root" of transformation generated by the isometry generators of AdS 3 . Since momentum is not an isometry generator, supersymmetry does not result in equal masses for a Bosonic field and its Fermionic partner. We express this model in terms of coordinates that characterize the AdS 3 space. In one coordinate system, it is possible to define a subspace with a Minkowski metric. It becomes possible to infer a model in AdS 4 space in which there is a symmetry transformation that relates Bosonic and Fermionic fields. This model is not a consequence of being formulated in a superspace and the Fermionic symmetry transformation is not the "square root" of an isometry of AdS 4 .

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Quantised fields over de Sitter space

Cited by 15 publications

References 21 publications

Massive Rarita-Schwinger field in de Sitter space

Massive Rarita-Schwinger field in de Sitter space

Large-scale messengers from massive higher spin fields

Supersymmetric models on AdS₃ and AdS₄ embedding superspaces

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Quantised fields over de Sitter space

Cited by 15 publications

References 21 publications

Massive Rarita-Schwinger field in de Sitter space

Massive Rarita-Schwinger field in de Sitter space

Large-scale messengers from massive higher spin fields

Supersymmetric models on AdS3 and AdS4 embedding superspaces

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Supersymmetric models on AdS₃ and AdS₄ embedding superspaces