量子场论中的高级概念
Advanced Concepts in Quantum Field Theory
摘要:
这些讲座包括2004年量子场论课程的后半部分。课程内容包括路径积分、圈展开、费曼规则、各种正则化方法、重整化、运行耦合和重整化群、不动点和渐近自由、有效作用量、科尔曼-温伯格有效势、费米子、轴向反常、量子电动力学、规范固定、非交换规范理论、么正性、光学定理、斯拉夫诺夫-泰勒恒等式、杨-米尔斯理论的β函数、渐近自由的启发式推导,SU(N)规范理论中的瞬子,θ真空和强CP问题。23个作业问题。
英文摘要:
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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