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Four Dimensional Quantum Gravity

Four Dimensional Quantum Gravity
Author:
Publisher:
Total Pages: 46
Release: 1993
Genre:
ISBN:

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After first reviewing the issue of vacuum energy (the cosmological constant problem) in the Einstein theory, the covariant path integral for gravity in four dimensions is constructed. The problem of vacuum energy requires determining the correct ground state of the quantum theory of gravity, and as such is an infrared problem, arising prior to and independently of the physics of the Planck scale. It is addressed in these lectures by studying the infrared fixed point of the low energy effective action of the conformal factor generated by the quantum trace anomaly in four dimensions. The infrared fixed point of this effective theory describes a conformally invariant phase of gravity with a vanishing effective cosmological term.


Quantum Gravity in Four Dimensions

Quantum Gravity in Four Dimensions
Author: Giampiero Esposito
Publisher: Nova Publishers
Total Pages: 176
Release: 2001
Genre: Science
ISBN: 9781590330005

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Main section headings: Ideas and Problems in Quantum Gravity; On Ellipticity and Quantum Gravity; Non-Local Boundary Data in Quantum Gravity; Non-Locality and Ellipticity for Gauge Theories; New Kernels in Quantum Gravity; Quantum Gravity from First Principles; Quantum Gravity and Spectral Geometry; Bibliography; Index.


Approaches to Quantum Gravity

Approaches to Quantum Gravity
Author: Daniele Oriti
Publisher: Cambridge University Press
Total Pages: 605
Release: 2009-03-05
Genre: Science
ISBN: 0521860458

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Containing contributions from leading researchers in this field, this book provides a complete overview of this field from the frontiers of theoretical physics research for graduate students and researchers. It introduces the most current approaches to this problem, and reviews their main achievements.


Lower Dimensional Gravity

Lower Dimensional Gravity
Author: John David Brown
Publisher: World Scientific
Total Pages: 166
Release: 1988
Genre: Science
ISBN: 9789971506223

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This book addresses the subject of gravity theories in two and three spacetime dimensions. The prevailing philosophy is that lower dimensional models of gravity provide a useful arena for developing new ideas and insights, which are applicable to four dimensional gravity. The first chapter consists of a comprehensive introduction to both two and three dimensional gravity, including a discussion of their basic structures. In the second chapter, the asymptotic structure of three dimensional Einstein gravity with a negative cosmological constant is analyzed. The third chapter contains a treatment of the effects of matter sources in classical two dimensional gravity. The fourth chapter gives a complete analysis of particle pair creation by electric and gravitational fields in two dimensions, and the resulting effect on the cosmological constant. Lower dimensional gravity may have never been reviewed in its entirety anywhere in the literature.


Physics Meets Philosophy at the Planck Scale

Physics Meets Philosophy at the Planck Scale
Author: Craig Callender
Publisher: Cambridge University Press
Total Pages: 380
Release: 2001-01-29
Genre: Science
ISBN: 9780521664455

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Was the first book to examine the exciting area of overlap between philosophy and quantum mechanics with chapters by leading experts from around the world.


The Structural Foundations of Quantum Gravity

The Structural Foundations of Quantum Gravity
Author: Dean Rickles
Publisher: Oxford University Press
Total Pages: 283
Release: 2006-11-16
Genre: Mathematics
ISBN: 0199269696

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What is spacetime? General relativity and quantum field theory answer this question in different ways. This collection of essays looks at the problem of uniting these two fundamental theories of our world, focusing on the nature of space and time within this quantum framework.