Ebook: Path Integrals in Field Theory: An Introduction
- Tags: Elementary Particles Quantum Field Theory, Mathematical Methods in Physics
- Series: Advanced Texts in Physics
- Year: 2004
- Publisher: Springer-Verlag Berlin Heidelberg
- Edition: 1
- Language: English
- pdf
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).
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).
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).
Content:
Front Matter....Pages I-XII
Front Matter....Pages 1-1
The Path Integral in Quantum Theory....Pages 3-14
Perturbation Theory....Pages 15-26
Generating Functionals....Pages 27-36
Front Matter....Pages 37-37
Relativistic Fields....Pages 39-51
Path Integrals for Scalar Fields....Pages 53-58
Evaluation of Path Integrals....Pages 59-74
Transition Rates and Green’s Functions....Pages 75-83
Green’s Functions....Pages 85-96
Perturbative ? 4 Theory....Pages 97-124
Green’s Functions for Fermions....Pages 125-140
Interacting Fields....Pages 141-153
Front Matter....Pages 155-155
Path Integrals for QED....Pages 157-165
Path Integrals for Gauge Fields....Pages 167-188
Examples for Gauge Field Theories....Pages 189-192
Back Matter....Pages 193-213
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).
Content:
Front Matter....Pages I-XII
Front Matter....Pages 1-1
The Path Integral in Quantum Theory....Pages 3-14
Perturbation Theory....Pages 15-26
Generating Functionals....Pages 27-36
Front Matter....Pages 37-37
Relativistic Fields....Pages 39-51
Path Integrals for Scalar Fields....Pages 53-58
Evaluation of Path Integrals....Pages 59-74
Transition Rates and Green’s Functions....Pages 75-83
Green’s Functions....Pages 85-96
Perturbative ? 4 Theory....Pages 97-124
Green’s Functions for Fermions....Pages 125-140
Interacting Fields....Pages 141-153
Front Matter....Pages 155-155
Path Integrals for QED....Pages 157-165
Path Integrals for Gauge Fields....Pages 167-188
Examples for Gauge Field Theories....Pages 189-192
Back Matter....Pages 193-213
....