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|a Mosel, Ulrich.
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|a Path Integrals in Field Theory
|h [electronic resource] :
|b An Introduction /
|c by Ulrich Mosel.
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|a 1st ed. 2004.
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|a Berlin, Heidelberg :
|b Springer Berlin Heidelberg :
|b Imprint: Springer,
|c 2004.
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|a XII, 213 p.
|b online resource.
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|a Advanced Texts in Physics,
|x 1439-2674
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|a Springer eBook Collection
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|a I Non-Relativistic Quantum Theory -- 1 The Path Integral in Quantum Theory -- 2 Perturbation Theory -- 3 Generating Functionals -- II Relativistic Quantum Field Theory -- 4 Relativistic Fields -- 5 Path Integrals for Scalar Fields -- 6 Evaluation of Path Integrals -- 7 Transition Rates and Green’s Functions -- 8 Green’s Functions -- 9 Perturbative ?4 Theory -- 10 Green’s Functions for Fermions -- 11 Interacting Fields -- III Gauge Field Theory -- 12 Path Integrals for QED -- 13 Path Integrals for Gauge Fields -- 14 Examples for Gauge Field Theories -- Units and Metric -- A.1 Units -- A.2 Metric and Notation -- Functionals -- B.1 Definition -- B.2 Functional Integration -- B.2.1 Gaussian Integrals -- B.3 Functional Derivatives -- Renormalization Integrals -- Gaussian Grassmann Integration -- References.
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|a This short and concise textbook is intended as a primer on path integral formalism both in classical and quantum field theories, although emphasis is on the latter. It is ideally suited as an intensive one-semester course, delivering the basics needed by readers to follow developments in field theory. Path Integrals in Field Theory paves the way for both more rigorous studies in fundamental mathematical issues as well as for applications in hadron, particle and nuclear physics, thus addressing students in mathematical and theoretical physics alike. Assuming some background in relativistic quantum mechanics, it complements the author’s monograph Fields, Symmetries, and Quarks (Springer, 1999).
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|a Electronic access restricted to members of the Holy Cross Community.
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|a Elementary particles (Physics).
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|a Quantum field theory.
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