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Book Cover
Author Graham, N. (Noah)

Title Spectral methods in quantum field theory / N. Graham, M. Quandt, H. Weigel
Published Berlin ; New York : Springer, ©2009


Description 1 online resource (xi, 182 pages) : illustrations
Series Lecture notes in physics, 1616-6361 ; 777
Lecture notes in physics ; 777. 0075-8450
Contents Introduction -- Review of Scattering Theory -- Quantum Field Theory and the Spectral Method -- Applications in One Space Dimension -- Spectral Analysis of Charges -- Hedgehog Configurations in d=3+1 -- Boundary Conditions and Casimir Forces -- String Type Configurations -- Quantum Corrections to Q-Balls -- References -- Index
Summary This concise text introduces techniques from quantum mechanics, especially scattering theory, to compute the effects of an external background on a quantum field in general, and on the properties of the quantum vacuum in particular. This approach can be succesfully used in an increasingly large number of situations, ranging from the study of solitons in field theory and cosmology to the determination of Casimir forces in nano-technology. The method introduced and applied in this book is shown to give an unambiguous connection to perturbation theory, implementing standard renormalization conditions even for non-perturbative backgrounds. It both gives new theoretical insights, for example illuminating longstanding questions regarding Casimir stresses, and also provides an efficient analytic and numerical tool well suited to practical calculations. Last but not least, it elucidates in a concrete context many of the subtleties of quantum field theory, such as divergences, regularization and renormalization, by connecting them to more familiar results in quantum mechanics. While addressed primarily at young researchers entering the field and nonspecialist researchers with backgrounds in theoretical and mathematical physics, introductory chapters on the theoretical aspects of the method make the book self-contained and thus suitable for advanced graduate students
Bibliography Includes bibliographical references and index
Notes English
Print version record
Subject Quantum field theory.
Scattering (Mathematics)
Quantum field theory.
Scattering (Mathematics)
Form Electronic book
Author Quandt, M. (Markus)
Weigel, H. (Herbert)
ISBN 9783642001390