Cosmological scattering equations at tree-level and one-loop

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68378271%3A_____%2F22%3A00562140" target="_blank" >RIV/68378271:_____/22:00562140 - isvavai.cz</a>

Výsledek na webu

<a href="https://hdl.handle.net/11104/0334556" target="_blank" >https://hdl.handle.net/11104/0334556</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1007/JHEP07(2022)004" target="_blank" >10.1007/JHEP07(2022)004</a>

Jazyk výsledku

angličtina

Název v původním jazyce

Cosmological scattering equations at tree-level and one-loop

Popis výsledku v původním jazyce

We recently proposed a formula for tree-level n-point correlators of massive quartic theory in de Sitter momentum space which consists of an integral over n punctures on the Riemann sphere and differential operators in the future boundary dubbed the cosmological scattering equations. In this work we provide further details of these calculations and present an alternative formulation based on a double cover of the Riemann sphere. This framework can be used to derive simple graphical rules for evaluating the integrals more efficiently. We check its validity up to eight points and sketch the derivation of n-point correlators. Finally, we propose a similar formula for 1-loop n-point correlators in terms of an integral over (n + 2) punctures on the Riemann sphere. The 1-loop formula holds for small masses in de Sitter space and arbitrary masses satisfying the Breitenlohner-Freedman bound after Wick-rotating to Anti-de Sitter space.n

Název v anglickém jazyce

Cosmological scattering equations at tree-level and one-loop

Popis výsledku anglicky

We recently proposed a formula for tree-level n-point correlators of massive quartic theory in de Sitter momentum space which consists of an integral over n punctures on the Riemann sphere and differential operators in the future boundary dubbed the cosmological scattering equations. In this work we provide further details of these calculations and present an alternative formulation based on a double cover of the Riemann sphere. This framework can be used to derive simple graphical rules for evaluating the integrals more efficiently. We check its validity up to eight points and sketch the derivation of n-point correlators. Finally, we propose a similar formula for 1-loop n-point correlators in terms of an integral over (n + 2) punctures on the Riemann sphere. The 1-loop formula holds for small masses in de Sitter space and arbitrary masses satisfying the Breitenlohner-Freedman bound after Wick-rotating to Anti-de Sitter space.n

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/GJ19-06342Y" target="_blank" >GJ19-06342Y: Fundamentální aspekty superstrun</a><br>

Návaznosti

I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Rok uplatnění

2022

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

2022

Číslo periodika v rámci svazku

7

Stát vydavatele periodika

US - Spojené státy americké

Počet stran výsledku

45

Strana od-do

004

Kód UT WoS článku

000820254400007

EID výsledku v databázi Scopus

2-s2.0-85133356981