Quantum de Sitter Entropy and Sphere Partition Functions: A-Hypergeometric Approach to Higher Loop Corrections - INSPIRE

DataBETA

Quantum de Sitter Entropy and Sphere Partition Functions: A-Hypergeometric Approach to Higher Loop Corrections

Bhavya Bandaru
(
- Columbia U.
)

Nov 25, 2024

41 pages

e-Print:

2411.16636 [hep-th]

DOI:

10.7916/sjnw-dw40

View in:

ADS Abstract Service

reference search1 citation

Citations per year

Abstract: (arXiv)

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 system) form by expressing the massive scalar propagator as a quotient of 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 integrals formed of underlying scalar Feynman integrals. Granting existence of general spin embedding space propagators, the same is shown to be true for general spin Feynman integrals.

Note:

Based on PhD thesis, 41 pages + appendices

References(129)

Figures(5)

[1]

Nine-Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Final Maps and Results

WMAP

Collaboration

•

C.L. Bennett
(
- Johns Hopkins U.
)

et al.

- Astrophys.J.Suppl. 208 (2013) 20
•
e-Print:
- 1212.5225
•
DOI:
- 10.1088/0067-0049/208/2/20

[2]

Observational evidence from supernovae for an accelerating universe and a cosmological constant

et al.

- Astron.J. 116 (1998) 1009-1038
•
e-Print:
- astro-ph/9805201
•
DOI:
- 10.1086/300499

[3]

The High Z supernova search: Measuring cosmic deceleration and global curvature of the universe using type Ia supernovae

et al.

- Astrophys.J. 507 (1998) 46-63
•
e-Print:
- astro-ph/9805200
•
DOI:
- 10.1086/306308

[4]

Supernovae, dark energy, and the accelerating universe: The Status of the cosmological parameters

Saul Perlmutter
(
- LBL, Berkeley
)

- Int.J.Mod.Phys.A 15S1 (2000) 715-739,
- eConf C990809 (2000) 715-739,
•
DOI:
- 10.1142/S0217751X00005383

[5]

Les Houches lectures on de Sitter space

Marcus Spradlin
(
- Harvard U. and
- Princeton U.
)
,
Andrew Strominger
(
- Harvard U.
)
,
Anastasia Volovich
(
- Harvard U.
)

•
e-Print:
- hep-th/0110007

[6]

Quantum gravity in de Sitter space

Edward Witten
(
- Caltech and
- CIT-USC
)

e-Print:
- hep-th/0106109

[7]

De Sitter Musings

Dionysios Anninos
(
- Stanford U., ITP
)

- Int.J.Mod.Phys.A 27 (2012) 1230013
•
e-Print:
- 1205.3855
•
DOI:
- 10.1142/S0217751X1230013X

[8]

Modave lectures on de Sitter space & holography

Damian A. Galante
(
- King's Coll. London
)

- PoS Modave2022 (2023) 003
•
e-Print:
- 2306.10141
•
DOI:
- 10.22323/1.435.0003

[9]

Action Integrals and Partition Functions in Quantum Gravity

G.W. Gibbons
(
- Cambridge U.
)
,
S.W. Hawking
(
- Cambridge U.
)

- Phys.Rev.D 15 (1977) 2752-2756
•
DOI:
- 10.1103/PhysRevD.15.2752

[10]

Wave Function of the Universe

J.B. Hartle
(
- Chicago U., EFI and
- Santa Barbara, KITP
)
,
S.W. Hawking
(
- Cambridge U. and
- Santa Barbara, KITP
)

- Phys.Rev.D 28 (1983) 2960-2975,
- Adv.Ser.Astrophys.Cosmol. 3 (1987) 174-189
•
DOI:
- 10.1103/PhysRevD.28.2960

[11]

Cosmological Event Horizons, Thermodynamics, and Particle Creation

G.W. Gibbons
(
- Cambridge U.
)
,
S.W. Hawking
(
- Cambridge U.
)

- Phys.Rev.D 15 (1977) 2738-2751
•
DOI:
- 10.1103/PhysRevD.15.2738

[12]

Quantum Gravity and Path Integrals

S.W. Hawking
(
- Cambridge U. and
- Caltech
)

- Phys.Rev.D 18 (1978) 1747-1753
•
DOI:
- 10.1103/PhysRevD.18.1747

[13]

Leading quantum correction to the Newtonian potential

John F. Donoghue
(
- Massachusetts U., Amherst
)

- Phys.Rev.Lett. 72 (1994) 2996-2999
•
e-Print:
- gr-qc/9310024
•
DOI:
- 10.1103/PhysRevLett.72.2996

[14]

The effective field theory treatment of quantum gravity

John F. Donoghue
(
- Massachusetts U., Amherst
)

- AIP Conf.Proc. 1483 (2012) 1, 73-94
•
e-Print:
- 1209.3511
•
DOI:
- 10.1063/1.4756964

[15]

Quantum de Sitter horizon entropy from quasicanonical bulk, edge, sphere and topological string partition functions

Dionysios Anninos
(
- King's Coll. London
)
,
Frederik Denef
(
- Columbia U.
)
,
Y.T. Albert Law
(
- Columbia U.
)
,
Zimo Sun
(
- Columbia U.
)

- JHEP 01 (2022) 088
•
e-Print:
- 2009.12464
•
DOI:
- 10.1007/JHEP01(2022)088

[16]

The two-sphere partition function in two-dimensional quantum gravity

Dionysios Anninos
(
- King's Coll. London
)
,
Teresa Bautista
(
- King's Coll. London
)
,
Beatrix Mühlmann
(
- Amsterdam U.
)

- JHEP 09 (2021) 116
•
e-Print:
- 2106.01665
•
DOI:
- 10.1007/JHEP09(2021)116

[17]

The two-sphere partition function in two-dimensional quantum gravity at fixed area

Beatrix Mühlmann
(
- Amsterdam U.
)

- JHEP 09 (2021) 189, 189
•
e-Print:
- 2106.04532
•
DOI:
- 10.1007/JHEP09(2021)189

[18]

Interpolating geometries and the stretched dS $_{2}$ horizon

- JHEP 11 (2022) 166
•
e-Print:
- 2209.06144
•
DOI:
- 10.1007/JHEP11(2022)166

[19]

The two-sphere partition function from timelike Liouville theory at three-loop order

Beatrix Mühlmann
(
- McGill U.
)

- JHEP 05 (2022) 057
•
e-Print:
- 2202.04549
•
DOI:
- 10.1007/JHEP05(2022)057

[20]

dS $_{2}$ supergravity

- JHEP 11 (2023) 145
•
e-Print:
- 2309.02480
•
DOI:
- 10.1007/JHEP11(2023)145

[21]

General Relativistic Quantum Field Theory-An Exactly Soluble Model

P. Candelas
(
- Oxford U.
)
,
D.J. Raine
(
- Oxford U.
)

- Phys.Rev.D 12 (1975) 965-974
•
DOI:
- 10.1103/PhysRevD.12.965

[22]

Scalar Effective Lagrangian in de Sitter Space

J.S. Dowker
(
- Manchester U.
)
,
Raymond Critchley
(
- Manchester U.
)

- Phys.Rev.D 13 (1976) 224
•
DOI:
- 10.1103/PhysRevD.13.224

[23]

Quantum Field Theory in de Sitter Space: Renormalization by Point Splitting

T.S. Bunch
(
- King's Coll. London
)
,
P.C.W. Davies
(
- King's Coll. London
)

- Proc.Roy.Soc.Lond.A 360 (1978) 117-134
•
DOI:
- 10.1098/rspa.1978.0060

[24]

Harmonic analysis and propagators on homogeneous spaces

R. Camporesi
(
- Maryland U.
)

- Phys.Rept. 196 (1990) 1-134
•
DOI:
- 10.1016/0370-1573(90)90120-Q

[25]

Generalized Euler integrals and A-hypergeometric functions

- Adv.Math. 84 (1990) 2, 255-271
•
DOI:
- 10.1016/0001-8708(90)90048-R

1-25 of 129
1
2
3
4
5
6
25 / page