TL;DR
This lecture series provides an in-depth overview of advanced quantum field theory topics, including path integrals, renormalization, gauge theories, anomalies, and nonperturbative effects, aimed at graduate-level understanding.
Contribution
It offers a comprehensive and detailed exposition of key concepts and methods in quantum field theory, including recent developments like instantons and the theta vacuum.
Findings
Detailed derivation of renormalization group equations
Analysis of asymptotic freedom in nonabelian gauge theories
Discussion of instantons and theta vacua in QCD
Abstract
These lectures comprise the second half of a quantum field theory course given in 2004. 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. 23 homework problems are included.
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