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Sinopsis
In this monograph we apply scattering theory methods to calculations in quantum ?eld theory, with a particular focus on properties of the quantum vacuum. These methods will provide e?cient and reliable solutions to a - riety of problems in quantum ?eld theory. Our approach will also elucidate in a concrete context many of the subtleties of quantum ?eld theory, such as divergences, regularization, and renormalization, by connecting them to more familiar results in quantum mechanics. We will use tools of scattering theory to characterize the spectrum of energyeigenstatesinapotentialbackground,hencethetermspectralmethods. This mode spectrum comprises both discrete bound states and a continuum of scattering states. We develop a powerful formalism that parameterizes the e?ects of the continuum by the density of states, which we compute from scattering data. Summing the zero-point energies of these modes gives the energy of the quantum vacuum, which is one of the central quantities we study.Althoughthemostcommonlystudiedbackgroundpotentialsarisefrom static soliton solutions to the classical equations of motion, these methods are not limited to such cases.
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De la contraportada
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.
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- EditorialSpringer
- Año de publicación2009
- ISBN 10 3642001386
- ISBN 13 9783642001383
- EncuadernaciónTapa dura
- IdiomaInglés
- Número de páginas196
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Spectral Methods in Quantum Field Theory (Lecture Notes in Physics, 777)
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Spectral Methods in Quantum Field Theory
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ISBN 10: 3642001386
ISBN 13: 9783642001383
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Spectral Methods in Quantum Field Theory
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Buch. Condición: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -In this monograph we apply scattering theory methods to calculations in quantum eld theory, with a particular focus on properties of the quantum vacuum. These methods will provide e cient and reliable solutions to a - riety of problems in quantum eld theory. Our approach will also elucidate in a concrete context many of the subtleties of quantum eld theory, such as divergences, regularization, and renormalization, by connecting them to more familiar results in quantum mechanics. We will use tools of scattering theory to characterize the spectrum of energyeigenstatesinapotentialbackground,hencethetermspectralmethods. This mode spectrum comprises both discrete bound states and a continuum of scattering states. We develop a powerful formalism that parameterizes the e ects of the continuum by the density of states, which we compute from scattering data. Summing the zero-point energies of these modes gives the energy of the quantum vacuum, which is one of the central quantities we study.Althoughthemostcommonlystudiedbackgroundpotentialsarisefrom static soliton solutions to the classical equations of motion, these methods are not limited to such cases. 196 pp. Englisch. Nº de ref. del artículo: 9783642001383
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Spectral Methods in Quantum Field Theory
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Springer Berlin Heidelberg, 2009
ISBN 10: 3642001386
ISBN 13: 9783642001383
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Buch. Condición: Neu. Druck auf Anfrage Neuware - Printed after ordering - In this monograph we apply scattering theory methods to calculations in quantum eld theory, with a particular focus on properties of the quantum vacuum. These methods will provide e cient and reliable solutions to a - riety of problems in quantum eld theory. Our approach will also elucidate in a concrete context many of the subtleties of quantum eld theory, such as divergences, regularization, and renormalization, by connecting them to more familiar results in quantum mechanics. We will use tools of scattering theory to characterize the spectrum of energyeigenstatesinapotentialbackground,hencethetermspectralmethods. This mode spectrum comprises both discrete bound states and a continuum of scattering states. We develop a powerful formalism that parameterizes the e ects of the continuum by the density of states, which we compute from scattering data. Summing the zero-point energies of these modes gives the energy of the quantum vacuum, which is one of the central quantities we study.Althoughthemostcommonlystudiedbackgroundpotentialsarisefrom static soliton solutions to the classical equations of motion, these methods are not limited to such cases. Nº de ref. del artículo: 9783642001383
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Spectral Methods in Quantum Field Theory
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Spectral Methods in Quantum Field Theory (Lecture Notes in Physics, 777)
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Spectral Methods in Quantum Field Theory
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Spectral Methods in Quantum Field Theory
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ISBN 10: 3642001386
ISBN 13: 9783642001383
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Gebunden. Condición: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. Includes supplementary material: sn.pub/extrasIn this monograph we apply scattering theory methods to calculations in quantum ?eld theory, with a particular focus on properties of the quantum vacuum. These methods will provide e?cient and reliabl. Nº de ref. del artículo: 5043006
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Spectral Methods in Quantum Field Theory
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