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Quantum de Sitter Entropy and Sphere...

Bandaru, Bhavya,

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Quantum de Sitter Entropy and Sphere Partition Functions: A-Hypergeometric Approach to All-Loop Order /

Record Type:	Electronic resources : Monograph/item
Title/Author:	Quantum de Sitter Entropy and Sphere Partition Functions: A-Hypergeometric Approach to All-Loop Order // Bhavya Bandaru.
Author:	Bandaru, Bhavya,
Description:	1 electronic resource (159 pages)
Notes:	Source: Dissertations Abstracts International, Volume: 86-04, Section: B.
Contained By:	Dissertations Abstracts International86-04B.
Subject:	Physics. -
Online resource:	https://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=31564823
ISBN:	9798384493600

Quantum de Sitter Entropy and Sphere Partition Functions: A-Hypergeometric Approach to All-Loop Order /
Bandaru, Bhavya,

Quantum de Sitter Entropy and Sphere Partition Functions: A-Hypergeometric Approach to All-Loop Order /Bhavya Bandaru. - 1 electronic resource (159 pages)

Source: Dissertations Abstracts International, Volume: 86-04, Section: B.

In order to find quantum corrections to the de Sitter entropy, a new approach to higher loop Feynman integral computations on the sphere is presented. Arbitrary scalar Feynman integrals on a spherical background are brought into the generalized Euler integral (A-hypergeometric series/GKZ systems) form by expressing the massive scalar propagator as a bivariate radial Mellin transform of the massless scalar propagator in one higher dimensional Euclidean flat space. This formulation is expanded to include massive and massless vector fields by construction of similar embedding space propagators. Vector Feynman integrals are shown to be sums over generalized Euler integral formed of underlying scalar Feynman integrals. Granting existence of general spin embedding space propagators, general spin Feynman integrals are shown, by the construction of a "master" integral, to also be sums over generalized Euler integral representations of scalar Feynman integrals. Finding exact embedding space propagator expressions for fields of integer spin ≥ 2 and half integer spin is left to future work.

English

ISBN: 9798384493600Subjects--Topical Terms:

516296
Physics.
Subjects--Index Terms:

Algebraic geometry

Quantum de Sitter Entropy and Sphere Partition Functions: A-Hypergeometric Approach to All-Loop Order /
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245 1 0 $a Quantum de Sitter Entropy and Sphere Partition Functions: A-Hypergeometric Approach to All-Loop Order / $c Bhavya Bandaru.
264 1 $a Ann Arbor : $b ProQuest Dissertations & Theses, $c 2024
300 $a 1 electronic resource (159 pages)
336 $a text $b txt $2 rdacontent
337 $a computer $b c $2 rdamedia
338 $a online resource $b cr $2 rdacarrier
500 $a Source: Dissertations Abstracts International, Volume: 86-04, Section: B.
500 $a Advisors: Denef, Frederik.
502 $b Ph.D. $c Columbia University $d 2024.
520 $a In order to find quantum corrections to the de Sitter entropy, a new approach to higher loop Feynman integral computations on the sphere is presented. Arbitrary scalar Feynman integrals on a spherical background are brought into the generalized Euler integral (A-hypergeometric series/GKZ systems) form by expressing the massive scalar propagator as a bivariate radial Mellin transform of the massless scalar propagator in one higher dimensional Euclidean flat space. This formulation is expanded to include massive and massless vector fields by construction of similar embedding space propagators. Vector Feynman integrals are shown to be sums over generalized Euler integral formed of underlying scalar Feynman integrals. Granting existence of general spin embedding space propagators, general spin Feynman integrals are shown, by the construction of a "master" integral, to also be sums over generalized Euler integral representations of scalar Feynman integrals. Finding exact embedding space propagator expressions for fields of integer spin ≥ 2 and half integer spin is left to future work.
546 $a English
590 $a School code: 0054
650 4 $a Physics. $3 516296
650 4 $a Quantum physics. $3 726746
650 4 $a Applied mathematics. $3 2122814
653 $a Algebraic geometry
653 $a Feynman integrals
653 $a Generalized Euler integrals
653 $a Propagators
653 $a Quantum gravity
690 $a 0605
690 $a 0599
690 $a 0364
710 2 $a Columbia University. $b Physics. $e degree granting institution. $3 3823845
720 1 $a Denef, Frederik $e degree supervisor.
773 0 $t Dissertations Abstracts International $g 86-04B.
790 $a 0054
791 $a Ph.D.
792 $a 2024
856 4 0 $u https://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=31564823