Scalar two-point functions at the late-time boundary of de Sitter

Kód výsledku v 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>

Výsledek na webu

<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>

Jazyk výsledku

angličtina

Název v původním jazyce

Scalar two-point functions at the late-time boundary of de Sitter

Popis výsledku v původním jazyce

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.

Název v anglickém jazyce

Scalar two-point functions at the late-time boundary of de Sitter

Popis výsledku anglicky

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.

Druh

J_imp - Článek v periodiku v databázi Web of Science

CEP obor

—

OECD FORD obor

10303 - Particles and field physics

Projekt

<a href="/cs/project/EF15_003%2F0000437" target="_blank" >EF15_003/0000437: Kosmologie, gravitace a temný sektor vesmíru</a><br>

Návaznosti

P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)<br>I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Rok uplatnění

2024

Kód důvěrnosti údajů

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Název periodika

Journal of High Energy Physics

ISSN

1029-8479

e-ISSN

1029-8479

Svazek periodika

2024

Číslo periodika v rámci svazku

2

Stát vydavatele periodika

DE - Spolková republika Německo

Počet stran výsledku

41

Strana od-do

76

Kód UT WoS článku

001161852900002

EID výsledku v databázi Scopus

2-s2.0-85185521693