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Quantum Gravitation

The Feynman Path Integral Approach

  • Herbert W. Hamber

Table of contents

  1. Front Matter
    Pages I-XVII
  2. Herbert W. Hamber
    Pages 1-54
  3. Herbert W. Hamber
    Pages 55-66
  4. Herbert W. Hamber
    Pages 67-101
  5. Herbert W. Hamber
    Pages 103-140
  6. Herbert W. Hamber
    Pages 141-168
  7. Herbert W. Hamber
    Pages 169-224
  8. Herbert W. Hamber
    Pages 225-271
  9. Herbert W. Hamber
    Pages 273-303
  10. Herbert W. Hamber
    Pages 305-323
  11. Back Matter
    Pages 325-342

About this book

Introduction

The book covers the theory of Quantum Gravitation from the point of view of Feynman path integrals. These provide a manifestly covariant approach in which fundamental quantum aspects of the theory such as radiative corrections and the renormalization group can be systematically and consistently addressed. The path integral method is suitable for both perturbative as well as non-perturbative studies, and is known to already provide a framework of choice for the theoretical investigation of non-abelian gauge theories, the basis for three of the four known fundamental forces in nature. The book thus provides a coherent outline of the present status of the theory gravity based on Feynman’s formulation, with an emphasis on quantitative results.

Topics are organized in such a way that the correspondence to similar methods and results in modern gauge theories becomes apparent. Covariant perturbation theory are developed using the full machinery of Feynman rules, gauge fixing, background methods and ghosts. The renormalization group for gravity and the existence of non-trivial ultraviolet fixed points are investigated, stressing a close correspondence with well understood statistical field theory models.

Later the lattice formulation of gravity is presented as an essential tool towards an understanding of key features of the non-perturbative vacuum. The book ends with a discussion of contemporary issues in quantum cosmology such as scale dependent gravitational constants and quantum effects in the early universe.

Keywords

Cosmology Covariant Quantization Feynman Path Integral Gravitational constant Gravity Quantum Cosmology Quantum Gravity RMS Renormalization Group Universe

Editors and affiliations

  • Herbert W. Hamber
    • 1
  1. 1.Department of Physics and AstronomyUniversity of California, IrvineIrvineUSA

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-540-85293-3
  • Copyright Information Springer Berlin Heidelberg 2009
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Physics and Astronomy
  • Print ISBN 978-3-540-85292-6
  • Online ISBN 978-3-540-85293-3
  • Buy this book on publisher's site