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Cover: 9783540403821 | Path Integrals in Field Theory | An Introduction | Ulrich Mosel | Buch
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Path Integrals in Field Theory
An Introduction
Taschenbuch von Ulrich Mosel
Sprache: Englisch

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Beschreibung
This is an introductory book to path integral methods in ?eld theories. It is aimed at graduate students and physicists who need a working knowledge of ?eld theory and its methods for applications in hadron, particle and nuclear physics. While teaching ?eld theory courses over the years I have found that many books on ?eld theory present the path integral methods used in only a very recipe-like way. On the other hand, specialized books on path integrals often contain many more details than are actually needed by non-specialists. I hope that this book here ?lls the gap. It provides enough information to actually follow all the arguments necessary for ?eld theoretical developments without, however, elaborating on the method as such and its mathema- cal intricacies. This book is ¿ in a way ¿ a technical companion to Fields, Symmetries, and Quarks by the present author. The reader of this book should have some knowledge of the relativistic equations of motion of ¿classical¿ quantum theory, but no prior knowledge of ?eld theory is assumed. The material in this book can be covered in a o- semester course with 3 hrs/week. It has evolved in many years of teaching this subject. I am grateful to my students for many helpful questions and comments and, in particular, to Frank Froemel for his help in preparing the ?gures in this book.
This is an introductory book to path integral methods in ?eld theories. It is aimed at graduate students and physicists who need a working knowledge of ?eld theory and its methods for applications in hadron, particle and nuclear physics. While teaching ?eld theory courses over the years I have found that many books on ?eld theory present the path integral methods used in only a very recipe-like way. On the other hand, specialized books on path integrals often contain many more details than are actually needed by non-specialists. I hope that this book here ?lls the gap. It provides enough information to actually follow all the arguments necessary for ?eld theoretical developments without, however, elaborating on the method as such and its mathema- cal intricacies. This book is ¿ in a way ¿ a technical companion to Fields, Symmetries, and Quarks by the present author. The reader of this book should have some knowledge of the relativistic equations of motion of ¿classical¿ quantum theory, but no prior knowledge of ?eld theory is assumed. The material in this book can be covered in a o- semester course with 3 hrs/week. It has evolved in many years of teaching this subject. I am grateful to my students for many helpful questions and comments and, in particular, to Frank Froemel for his help in preparing the ?gures in this book.
Zusammenfassung

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 seeks a path between recipe-like sketchy presentations and specialized monographs with unnecessary detail. It 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).

Inhaltsverzeichnis
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.
Details
Erscheinungsjahr: 2003
Fachbereich: Analysis
Genre: Mathematik, Medizin, Naturwissenschaften, Technik
Rubrik: Naturwissenschaften & Technik
Medium: Taschenbuch
Reihe: Advanced Texts in Physics
Inhalt: xii
213 S.
ISBN-13: 9783540403821
ISBN-10: 3540403825
Sprache: Englisch
Ausstattung / Beilage: Paperback
Einband: Kartoniert / Broschiert
Autor: Mosel, Ulrich
Auflage: Softcover reprint of the original 1st ed. 2004
Hersteller: Springer-Verlag GmbH
Springer Berlin Heidelberg
Advanced Texts in Physics
Verantwortliche Person für die EU: Springer Verlag GmbH, Tiergartenstr. 17, D-69121 Heidelberg, juergen.hartmann@springer.com
Maße: 235 x 155 x 13 mm
Von/Mit: Ulrich Mosel
Erscheinungsdatum: 09.09.2003
Gewicht: 0,353 kg
Artikel-ID: 102520246
Zusammenfassung

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 seeks a path between recipe-like sketchy presentations and specialized monographs with unnecessary detail. It 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).

Inhaltsverzeichnis
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.
Details
Erscheinungsjahr: 2003
Fachbereich: Analysis
Genre: Mathematik, Medizin, Naturwissenschaften, Technik
Rubrik: Naturwissenschaften & Technik
Medium: Taschenbuch
Reihe: Advanced Texts in Physics
Inhalt: xii
213 S.
ISBN-13: 9783540403821
ISBN-10: 3540403825
Sprache: Englisch
Ausstattung / Beilage: Paperback
Einband: Kartoniert / Broschiert
Autor: Mosel, Ulrich
Auflage: Softcover reprint of the original 1st ed. 2004
Hersteller: Springer-Verlag GmbH
Springer Berlin Heidelberg
Advanced Texts in Physics
Verantwortliche Person für die EU: Springer Verlag GmbH, Tiergartenstr. 17, D-69121 Heidelberg, juergen.hartmann@springer.com
Maße: 235 x 155 x 13 mm
Von/Mit: Ulrich Mosel
Erscheinungsdatum: 09.09.2003
Gewicht: 0,353 kg
Artikel-ID: 102520246
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