PHY552 Quantum Field Theory II

• Path Integral formulation of QM
• Path Integral formulation of QFT
• Non-Abelian Gauge Theories
• Path Integral formulation of gauge theories
• Symmetries and the Effective Action
• The Renormalization Group
• Spontaneous Symmetry Breaking

• No tutorial on Wednesday 20.2 and Friday 22.2
• On Monday 27.5 there will be no lecture.
  Prof. Lance Dixon (SLAC) will give the Schroedinger Lecture:
  "Particle Scattering and Number Theory" in HPH G3 at 2.15pm

Lectures

Monday 13:45 - 15:30 in HCI J7

Friday 10:45 - 11:30 in HCI J3

Exercises

• Introduction (PDF, 75 KB)
• Path Integral in Quantum Mechanics (PDF, 421 KB)
• Path Integral for Scalar Fields (PDF, 602 KB)
• Path Integral for Fermi Fields (PDF, 378 KB)
• The effective action (PDF, 309 KB)
• The analogy between QFT and Statistical Mechanics (PDF, 177 KB)
• Non abelian Gauge Theories (PDF, 802 KB)
• Path Integral for Gauge Fields (PDF, 545 KB)
• Unitarity and Ghosts (PDF, 273 KB)
• The BRST Symmetry (PDF, 503 KB)
• Symmetries of the Path Integral and the Effective Action (PDF, 257 KB)
• Systematics of Renormalisation (PDF, 419 KB)
• Wilson's Approach to Renormalisation (PDF, 301 KB)
• Renormalisation group (PDF, 495 KB)
• The beta function (PDF, 475 KB)
• Spontaneous Symmetry Breaking (PDF, 495 KB)
• Higgs Mechanism (PDF, 234 KB)

• QFT2_Script_2019 (PDF, 958 KB) (preliminary version,  August 13, 2019)

• M. E. Peskin, D. V. Schroeder, "An Introduction to Quantum Field Theory", Westview Press (1995)
• S. Pokorski, "Gauge Field Theories" (2nd Edition), Cambridge Univ. Press (2000)
• M. Schwartz, "Quantum Field Theory and the Standard Model", Cambridge Univ. Press (2014)
• P. Ramond, "Field Theory: A Modern Primer" (2nd Edition), Westview Press (1990)
• S. Weinberg, "The quantum theory of fields", vol. I and II, Cambridge Univ. Press (1995)
• J. Zinn-Justin, "Quantum Field Theory and Critical Phenomena", Oxford Science Pub. (1996)
• C. Itzykson, J.B. Zuber, "Quantum Field Theory", McGraw Hill (1985)