Scalar two-point functions at the late-time boundary of de Sitter
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68378271%3A_____%2F24%3A00583325" target="_blank" >RIV/68378271:_____/24:00583325 - isvavai.cz</a>
Result on the web
<a href="https://hdl.handle.net/11104/0362590" target="_blank" >https://hdl.handle.net/11104/0362590</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1007/JHEP02(2024)076" target="_blank" >10.1007/JHEP02(2024)076</a>
Alternative languages
Result language
angličtina
Original language name
Scalar two-point functions at the late-time boundary of de Sitter
Original language description
We calculate two-point functions of scalar fields of mass m and their conjugate momenta at the late-time boundary of de Sitter with Bunch-Davies boundary conditions, in general d + 1 spacetime dimensions. We perform the calculation using the wavefunction picture and using canonical quantization. With the latter one clearly sees how the late-time field and conjugate momentum operators are linear combinations of the normalized late-time operators alpha(N) and beta(N) that correspond to unitary irreducible representations of the de Sitter group with well-defined inner products. The two-point functions resulting from these two different methods are equal and we find that both the autocorrelations of alpha(N) and beta(N) and their cross correlations contribute to the late-time field and conjugate momentum two-point functions. This happens both for light scalars (m <d/2H), corresponding to complementary series representations, and heavy scalars (m <d/2H), corresponding to principal series representations of the de Sitter group, where H is the Hubble scale of de Sitter. In the special case m = 0, only the beta(N) autocorrelation contributes to the conjugate momentum two-point function in any dimensions and we gather hints that suggest alpha(N) to correspond to discrete series representations for this case at d = 3.
Czech name
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Czech description
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Classification
Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
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OECD FORD branch
10303 - Particles and field physics
Result continuities
Project
<a href="/en/project/EF15_003%2F0000437" target="_blank" >EF15_003/0000437: Cosmology, Gravity and the Dark Sector of the Universe</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)<br>I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace
Others
Publication year
2024
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Journal of High Energy Physics
ISSN
1029-8479
e-ISSN
1029-8479
Volume of the periodical
2024
Issue of the periodical within the volume
2
Country of publishing house
DE - GERMANY
Number of pages
41
Pages from-to
76
UT code for WoS article
001161852900002
EID of the result in the Scopus database
2-s2.0-85185521693