(EBOOK PDF) Aspects of Quantum Field Theory in Curved Space Time 1st Edition by Stephen Fulling ISBN 1107108128 9781107108127 full chapters

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Product details:

ISBN 10: 1107108128

ISBN 13: 9781107108127

Author:  Stephen A. Fulling 

Aspects of Quantum Field Theory in Curved Space Time 1st Edition: The theory of quantum fields on curved spacetimes has attracted great attention since the discovery, by Stephen Hawking, of black-hole evaporation. It remains an important subject for the understanding of such contemporary topics as inflationary cosmology, quantum gravity and superstring theory. This book provides, for mathematicians, an introduction to this field of physics in a language and from a viewpoint which such a reader should find congenial. Physicists should also gain from reading this book a sound grasp of various aspects of the theory, some of which have not been particularly emphasised in the existing review literature. The topics covered include normal-mode expansions for a general elliptic operator, Fock space, the Casimir effect, the ‘Klein’ paradox, particle definition and particle creation in expanding universes, asymptotic expansion of Green’s functions and heat kernels, and renormalisation of the stress tensor. The style is pedagogic rather than formal; some knowledge of general relativity and differential geometry is assumed, but the author does supply background material on functional analysis and quantum field theory as required. The book arose from a course taught to graduate students and could be used for self-study or for advanced courses in relativity and quantum field theory.

 

Aspects of Quantum Field Theory in Curved Space Time 1st Edition Table of contents:

• Chapter 1: A Quick Course in Quantum Mechanics
• Chapter 2: Self-Adjoint, Elliptic Differential Operators and Eigenfunction Expansions
• Chapter 3: Quantization of a Static, Scalar Field Theory
• Chapter 4: Two-Point Functions
• Chapter 5: The Stress Tensor and the Casimir Effect
• Chapter 6: Quantum Field Theory in General Space-Times
• Chapter 7: Quantum Field Theory in an Expanding Universe
• Chapter 8: Some Geometrical Apparatus
• Chapter 9: Renormalization of the Stress Tensor

 

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