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Quantization of the massless minimally coupled scalar field and the dS/CFT correspondence

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arxiv hep-th/0108119 v2 pith:NE3VKNT5 submitted 2001-08-16 hep-th

Quantization of the massless minimally coupled scalar field and the dS/CFT correspondence

classification hep-th
keywords masslessfieldsittercorrespondencecoupledeuclideanminimallyquantization
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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We consider the quantization of the massless minimally coupled scalar field in de Sitter spacetime. The no-boundary Euclidean prescription naturally picks out the de Sitter invariant vacuum state of Kirsten and Garriga. We extend Strominger's dS/CFT correspondence to this case which allows us to interpret the massless field in terms of a Euclidean CFT. The extension is non-trivial and requires careful treatment of the zero mode. Since the graviton is massless, this work may also be considered a step towards a theory of gravity in de Sitter space.

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Cited by 3 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score.

  1. Revealing the conformal symmetry of the discrete series scalars in dS${}_2$

    hep-th 2026-07 conditional novelty 6.0

    Massive discrete-series scalars in dS2 admit an on-shell global conformal symmetry realized non-locally on the scalar and locally on a conformal Killing tensor, with a traceless stress tensor generating SL(2,R)×SL(2,R).

  2. Axions on de Sitter space

    hep-th 2026-06 unverdicted novelty 6.0

    Quantization of axions on dS_D yields Hilbert space H = L^2(S^1) ⊗ F with zero-mode U(1) charge, producing non-dS-invariant charged sectors and Hadamard Wightman functions that become asymptotically invariant.

  3. A Compact Story of Positivity in de Sitter

    hep-th 2025-08 unverdicted novelty 5.0

    Compares two methods to resolve disagreements and prove positivity of anomalous dimensions for principal series fields coupled to compact scalar operators in de Sitter space.