Advanced concepts in quantum field theory with exercises
Author(s)
Bibliographic Information
Advanced concepts in quantum field theory with exercises
（SpringerBriefs in Physics）
Springer, c2020
Available at / 2 libraries
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Library, Research Institute for Mathematical Sciences, Kyoto University数研
CLI||7||1200040924536
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Note
Includes bibliographical references (p. 153)
Description and Table of Contents
Description
This book comprises the second half of a quantum field theory (QFT) course for graduate students. It gives a concise introduction to advanced concepts that are important for research in elementary particle theory. Topics include the path integral, loop expansion, Feynman rules, various regularization methods, renormalization, running couplings and the renormalization group, fixed points and asymptotic freedom, effective action, Coleman-Weinberg effective potential, fermions, the axial anomaly, QED, gauge fixing, nonabelian gauge theories, unitarity, optical theorem, Slavnov-Taylor identities, beta function of Yang-Mills theory, a heuristic derivation of asymptotic freedom, instantons in SU(N) gauge theory, theta vacua and the strong CP problem. Exercises are included and are intended for advanced graduate students or postdocs seeking to deepen their understanding of QFT.
Table of Contents
- Introduction.- The Loop Expansion.- The Feynman Rules.- Evaluation of diagrams
- regularization.- Renormalization.- Other regulators.- The Quantum Effective Action.- Fermions.- The Axial Anomaly.- Abelian Gauge Theories: QED.- Applications of QED.- Nonabelian gauge theories.- Nonperturbative aspects of SU(N) gauge theory.- Homeworks.
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