Heat Kernel and Quantum Gravity: Lecture Notes in Physics Monographs, cartea 64
Autor Ivan G. Avramidien Limba Engleză Paperback – 8 dec 2010
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Specificații
ISBN-13: 9783642086465
ISBN-10: 3642086462
Pagini: 168
Ilustrații: X, 152 p.
Dimensiuni: 155 x 235 x 10 mm
Greutate: 0.27 kg
Ediția:Softcover reprint of the original 1st ed. 2000
Editura: Springer
Colecția Lecture Notes in Physics Monographs
Seria Lecture Notes in Physics Monographs
Locul publicării:Berlin, Heidelberg, Germany
ISBN-10: 3642086462
Pagini: 168
Ilustrații: X, 152 p.
Dimensiuni: 155 x 235 x 10 mm
Greutate: 0.27 kg
Ediția:Softcover reprint of the original 1st ed. 2000
Editura: Springer
Colecția Lecture Notes in Physics Monographs
Seria Lecture Notes in Physics Monographs
Locul publicării:Berlin, Heidelberg, Germany
Public țintă
ResearchCuprins
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.
Recenzii
"This monograph rightly belongs to a series ‘Lecture notes in Physics’, as it represents a well-written review of main results by the author, who is a recognized expert on heat kernel techniques in quantum gravity. [...] The results exposed in this book reflect the major contributions of the author to differential geometry and the theory of differential operators. They have many applications in quantum field theory with background fields, and indeed, the book can be used as a text for a short graduate course in the heat kernel techniques and their quantum gravity." (Mathematical Reviews 2003a)
Textul de pe ultima copertă
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.
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.
Caracteristici
There exist many competing ideas to solve the longstanding problem to combine quantum physics and Einstein's Theory of Gravitation. The author's contribution allows a big step forward. Includes supplementary material: sn.pub/extras
Notă biografică
¿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).