## Effective Action in Quantum GravityIn part one of Effective Action in Quantum Gravity, the book describes the principles of quantum field theory and the significance of and theory behind effective action. Part two deals with quantum field theory in curved space-time and the effective action. These two parts provide the tools for understanding the rest of the book, which is devoted to selected problems of quantum gravity where the effective action plays a major role. The book assumes only a basic understanding of quantum field theory and general relativity and will be of interest to postgraduate students and researchers in theoretical high-energy physics and gravitational theory. |

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### Contents

PART | 9 |

Effective Action in Quantum Field Theory | 27 |

QUANTUM FIELD THEORY IN CURVED | 97 |

The Renormalization Group Method in Curved | 149 |

Renormalization Group Method and Effective | 171 |

Unique Effective Action in Quantum Field Theory | 205 |

Effective Action of Composite Fields in Curved | 217 |

### Common terms and phrases

2-gravity arbitrary asymptotic conformal invariance asymptotically free Buchbinder I L calculation canonical quantization classical composite fields constraints construct contains coordinates corresponding coupling constants covariant derivative curvature curved space-time defined depend diagrams dimensional Dirac divergences effective coupling constants effective potential Einstein gravity equation of motion expression external gravitational field finite flat space flat space-time functional integral gauge condition gauge field gauge fixing gauge group gauge invariance gauge theories gauge transformations Green's functions Hamiltonian investigate Lagrangian Let us consider Let us introduce Lett massless matrix matter fields mean field metric non-minimal coupling non-minimal interaction Note Nucl obtain Odintsov S D one-loop approximation one-loop effective operator p-brane Phys quantum field theory quantum gravity relation renormalizability renormalization group equations second-rank tensor field solution spinor field structure tion torsion unique effective action vacuum energy values variables vector field vertex functions Vilkovisky Witt Yang-Mills Yukawa

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Page iv - OxonOXI44RN © 2005 by Taylor & Francis Group, LLC No claim to original US Government works Printed in the United States of America on acid-free paper 10 9876 5 432 International Standard Book Number-10: 0-7503-0936-9 (Hardcover) International Standard Book Number-13: 978-0-7503-0936-3 (Hardcover) This book contains information obtained from authentic and highly regarded sources.

Page iv - Published in 2003 by Published in Great Britain by Taylor & Francis Group Taylor & Francis Group 6000 Broken Sound Parkway NW, Suite 300 2 Park Square Boca Raton, FL 33487-2742 Milton Park, Abingdon OxonOX144RN €> 2003 by Taylor & Francis Group, LLC First edition 1984.