Gauge Theory Student Meetings
last updated: 1.10 PM, Dec 5, 2018
Students with some prior exposure to electromagnetism and special relativity meet once a week to systematically discuss topics in gauge theory.
More specifically, these meetings aim to clearly understand the different constituents that make up a gauge theory:
Additional topics that can be discussed can be found further below under Suggestions for further meetings. Input welcome!
- a theory of matter fields with a global symmetry giving rise to conserved currents,
- a theory of gauge fields ("forces") that are endowed with an intrinsic redundancy, and
- their interrelation via Noether's theorem and gauge invariance.
||weekly, 2pm, 4-285 CCIS
||Jens Boos (email@example.com)
- 2018-09-12: organizational issues, outline 
- 2018-09-19: From the Maxwell equations to a U(1) gauge theory [01, 02, gauge-theory-visualization-v2.pdf]
- 2018-09-26: Q&A session for the lecture on Sep 19 [01, 02]
- 2018-10-03: Noether's theorem in field theory [01, 02, notes]
- 2018-10-10: A mini-introduction to Lie groups [01, 02, 03, notes]
- 2018-10-17: Yang–Mills theory (1/2): quarks and the covariant derivative [01, 02]
- 2018-10-24: Yang–Mills theory (2/2): a kinetic term for the gluons [01, 02]
- 2018-10-31: Ising gauge theory [01, 02, notes]
- 2018-11-07: lattice gauge theory [01, 02]
2018-11-14: no meeting (reading week)
- 2018-11-21: Abelian Higgs model [01, 02, 03]
- 2018-11-28: Electromagnetism and differential forms [01, 02, 03]
- 2018-12-05: Gravity as a gauge theory? 
Suggestions for further meetings
- Holonomies and curvature: the geometrical interpretation of gauge theory
- Higgs mechanism; the Stueckelberg Lagrangian and the affine Higgs mechanism
- The standard model: a SU(3)×SU(2)×U(1) gauge theory
- Gauge fixing and the Faddeev–Popov determinant
- L. O'Raifeartaigh, “Hidden Gauge Symmetry,” Rept. Prog. Phys. 42 (1979) 159 [inspire]. Click here for a PDF of the article (user name: yang, password: mills).
- L. O'Raifeartaigh, The Dawning of Gauge Theory (Princeton University Press, 1997), table of contents here, website here.
- Roger Penrose, The Road to Reality (Random House, 2004), website here.
- J. D. Jackson and L. B. Okun, “Historical roots of gauge invariance,” Rev. Mod. Phys. 73 (2001) 663; hep-ph/0012061.
- Useful questions on StackExchange Mathematics: 719487 (PDF) and 1465315 (PDF)
- S. M. Martin, “A Supersymmetry primer,” Adv. Ser. Direct. High Energy Phys. 21 (2010) 1; Adv. Ser. Direct. High Energy Phys. 18 (1998) 1; hep-ph/9709356.
- F. W. Hehl, “Gauge theory of gravity and spacetime,” Einstein Stud. 13 (2017) 145-169; 1204.3672 [gr-qc].
- additional materials/textbooks: TBD