Heat Kernel and Quantum Gravity (Lecture Notes in Physics Monographs, 64) 2000th Edition by Ivan G. Avramidi (PDF)

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    Ebook Info

    • Published: 2000
    • Number of pages: 162 pages
    • Format: PDF
    • File Size: 6.41 MB
    • Authors: Ivan G. Avramidi

    Description

    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.

    User’s Reviews

    Editorial Reviews: Review “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) From the Back Cover 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.

    Reviews from Amazon users which were colected at the time this book was published on the website:

    ⭐Spectral theory for the heat equation represents one of themore exciting points of interaction between math and physics:It also serves as a deep link, via spectral theory, between geometry(math), and quantum gravity(physics). While the subject has roots far back, this lovely book presents some of the more exciting developments in the past decade. One of the success stories in interdisciplinary theoretical science! It is well written, and will be a great source for grad students. This very nice book further points toward the research trends of the future. Moreover, the results presented in the book are timeless. The book will be of value also ten years from now. Being an acknowledged authority in the subject, this author is in a unique position to write a book on the central themes and theories in the subject.

    Keywords

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