Heat Kernel and Quantum Gravity (Lecture Notes in Physics Monographs, 64, Band 64) - Hardcover

Avramidi, Ivan G.

Hardcover

ISBN 10: 3540671552 ISBN 13: 9783540671558

Verlag: Springer, 2000

Inhaltsangabe

Background Field Method in Quantum Field Theory.- Technique for Calculation of De Witt Coefficients.- Partial Summation of Schwinger-De Witt Expansion.- Higher-Derivative Quantum Gravity.- Conclusion.

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Über die Autorin bzw. den Autor

¿Dr. Ivan Avramidi is an accomplished researcher with more than 30 years of research experience in mathematical physics. He has a cutting-edge expertise in asymptotic analysis of partial differential equations on manifolds and the applications of these methods to quantum physics, differential geometry and financial mathematics. His research program spans such areas as global analysis, geometric analysis, mathematical physics, spectral geometry, differential geometry, quantum field theory, quantum gravity and financial mathematics. Dr. Avramidi has an extensive publication record including two books and more than 60 refereed papers.

Dr. Ivan Avramidi got his Ph.D. in Theoretical and Mathematical Physics at the Lomonosov Moscow State University (Russia) in 1987. He held several research scientist positions at Rostov State University (1987-1990), University of Karlsruhe (1989-1990), University of Naples (1995), University of Greifswald (1993-1998) and a visiting faculty position at the University of Iowa (1997-1999); since 1999 he is a Professor of Mathematics at the New Mexico Institute of Mining and Technology. Dr. Avramidi was awarded Research Fellowships by Alexander von Humboldt Foundation (1993-1996 and 2018) and by the DAAD (German Academic Exchange Service) (1989-1990). His research was supported by the Deutsche Forschungsgemeinschaft (German Science Foundation) and the Department of Science and Higher Education (Russia).

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This book tackles quantum gravity via the so-called background field method and its effective action functional. The author presents an explicitly covariant and effective technique to calculate the de Witt coefficients and to analyze the Schwinger-de Wit asymptotic expansion of the effective action. He also investigates the ultraviolet behaviour of higher-derivative quantum gravity.
The book addresses theoretical physicists, graduate students as well as researchers, but should also be of interest to physicists working in mathematical or elementary particle physics.

Details zur Ausgabe

• Verlag: Springer
• Erscheinungsdatum: 2000
• Sprache: Englisch
• ISBN 10: 3540671552
• ISBN 13: 9783540671558
• Einband: Gebundene Ausgabe
• Anzahl der Seiten: 162
• Kontakt zum Hersteller: Springer Nature Customer Service Center GmbH; ProductSafety@springernature.com; ; Europaplatz 3,69115 Heidelberg, Germany; Heidelberg; Deutschland