Euclidean quantum gravity in light of spectral geometry

被引：0

作者：

Esposito, G ^{[1
]}

机构：

[1] Univ Naples Federico II, Ist Nazl Fis Nucl, Sez Napoli, I-80126 Naples, Italy

来源：

SPECTRAL GEOMETRY OF MANIFOLDS WITH BOUNDARY AND DECOMPOSITION OF MANIFOLDS | 2005年 / 366卷

关键词：

global analysis; quantum field theory;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

A proper understanding of boundary-value problems is essential in the attempt of developing a quantum theory of gravity and of the birth of the universe. The present paper reviews these topics in light of recent developments in spectral geometry, i.e. heat-kernel asymptotics for the Laplacian in the presence of Dirichlet, or Robin, or mixed boundary conditions; completely gauge-invariant boundary conditions in Euclidean quantum gravity; local vs. non-local boundary-value problems in one-loop Euclidean quantum theory via path integrals.

引用

页码：23 / 42

页数：20

共 50 条

[1] Towards spectral geometric methods for Euclidean quantum gravity
Panine, Mikhail
Kempf, Achim
PHYSICAL REVIEW D, 2016, 93 (08)
[2] Information theory, spectral geometry, and quantum gravity
Kempf, Achim
Martin, Robert
PHYSICAL REVIEW LETTERS, 2008, 100 (02)
[3] Quantum Gravity and Spectral Geometry - Proceedings of the International Meeting on Quantum Gravity and Spectral Geometry - Napoli, Italy - 2-7 July 2001
Esposito, G
Miele, G
Preziosi, B
NUCLEAR PHYSICS B-PROCEEDINGS SUPPLEMENTS, 2002, 104 : V - V
[4] Quantum Gravity and Spectral Geometry - Proceedings of the International Meeting on Quantum Gravity and Spectral Geometry - Napoli, Italy - 2-7 July 2001 - Foreword
不详
NUCLEAR PHYSICS B-PROCEEDINGS SUPPLEMENTS, 2002, 104 : VII - VIII
[5] Pregeometry and euclidean quantum gravity
Wetterich, Christof
NUCLEAR PHYSICS B, 2021, 971
[6] Quantum Gravity: Unification of Principles and Interactions, and Promises of Spectral Geometry
Booss-Bavnbek, Bernhelm
Esposito, Giampiero
Lesch, Matthias
SYMMETRY INTEGRABILITY AND GEOMETRY-METHODS AND APPLICATIONS, 2007, 3
[7] The geometry of the quantum Euclidean space
Fiore, G
Madore, J
JOURNAL OF GEOMETRY AND PHYSICS, 2000, 33 (3-4) : 257 - 287
[8] Spectral asymptotics of Euclidean quantum gravity with diff-invariant boundary conditions
Esposito, G
Fucci, G
Kamenshchik, AY
Kirsten, K
CLASSICAL AND QUANTUM GRAVITY, 2005, 22 (06) : 957 - 974
[9] EUCLIDEAN VERSUS NON-EUCLIDEAN ASPECTS IN SPECTRAL GEOMETRY
SUNADA, T
PROGRESS OF THEORETICAL PHYSICS SUPPLEMENT, 1994, (116): : 235 - 250
[10] Quantum geometry and quantum gravity
Fernando Barbero, J.
GEOMETRY AND PHYSICS XVI INTERNATIONAL FALL WORKSHOP, 2008, 1023 : 3 - 33

← 1 2 3 4 5 →