Advanced Concepts in Quantum Field Theory
With Exercises
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Beschreibung
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.
Contains a full account of loops and renormalization in concise format Exercises allow the reader to test his/her comprehension and practice the concepts at a level suitable to starting research in the area Offers a unique perspective on specialized topics including anomalies, theta vacua and nonperturbative aspects of nonabelian gauge theories
Autor*in
James M. Cline
Themen in »Advanced Concepts in Quantum Field Theory«
gauge fixing asymptotic freedom Instantons exercises on QFT effective potentials Slavnov-Taylor identities axial anomaly theta vacua nonabelian gauge theories