8.325 | Spring 2007 | Graduate

Relativistic Quantum Field Theory III

Readings

Required Textbook

Peskin, Michael E., and Daniel V. Schroeder. An Introduction to Quantum Field Theory (Frontiers in Physics). New York, NY: HarperCollins Publishers, 1995. ISBN: 9780201503975. (Corrections page: An Introduction to Quantum Field Theory.)

Weinberg, Steven. The Quantum Theory of Fields. Cambridge, UK: Cambridge University Press, 2005. ISBN: 9780521670531.

———. The Quantum Theory of Fields. Vol. II. Cambridge, UK: Cambridge University Press, 2005. ISBN: 9780521670548.

Pokorski, Stefan. Gauge Field Theories (Cambridge Monographs on Mathematical Physics). Cambridge, UK: Cambridge University Press, 1987. ISBN: 9780521265379.

Zee, A. Quantum Field Theory in a Nutshell. Princeton, NJ: Princeton University Press, 2003. ISBN: 9780691010199.

Donoghue, John F., Eugene Golowich, and Barry R. Holstein. Dynamics of the Standard Model (Cambridge Monographs on Particle Physics, Nuclear Physics, and Cosmology). Vol. 2. Cambridge, UK: Cambridge University Press, 1992. ISBN: 9780521362887.

Cheng, Ta-Pei, and Ling-Fong Li. Gauge Theory of Elementary Particle Physics. Oxford Science Publications. New York, NY: Oxford University Press, 1988. ISBN: 9780198519614.

Collins, John C. Renormalization: An Introduction to Renormalization, the Renormalization Group, and the Operator-Product Expansion (Cambridge Monographs on Mathematical Physics). Cambridge, UK: Cambridge University Press, 1984. ISBN: 9780521242615.

Ellis, R. K., W. J. Stirling, and B. R. Webber. QCD and Collider Physics (Cambridge Monographs on Particle Physics, Nuclear Physics, and Cosmology). Vol. 8. Cambridge, UK: Cambridge University Press, 1996. ISBN: 9780521581899.

Georgi, Howard. Weak Interactions and Modern Particle Theory. Menlo Park, CA: Benjamin/Cummings Pub. Co., 1984. ISBN: 9780805331639. (Online version.)

Coleman, Sidney. Aspects of Symmetry: Selected Erice Lectures of Sidney Coleman. Cambridge, UK: Cambridge University Press, 1985. ISBN: 9780521267069.

Creutz, Michael. Quarks, Gluons, and Lattices (Cambridge Monographs on Mathematical Physics). Cambridge [Cambridgeshire], UK: Cambridge University Press, 1984. ISBN: 9780521244053.

Further guidance on the recommended texts will be provided in lecture. It is often appropriate to consult more than one reference.

LEC # TOPICS READINGS
1 Gauge and global symmetries of the standard model (SM)

Peskin, review sections 15.1, 15.2, and 15.4.

Donoghue, section I, II.1, 2, 3, and III.1.

2 Faddeev-Popov procedure Peskin, review 9.4 and 16.2.
3 Renormalization group (RG)

Weinberg vol. 2, chapter 18.

Peskin, chapter 12.

Pokorski, chapter 6, pp. 138-144.

4 RG and quantum chromodynamics (QCD) beta function, background field gauge

Continued from last week - Pokorski (above).

Peskin: 16.1-16.6 (in particular 16.5 and 16.6).

A paper by Larry Abbott.

6 Wilsonian RG, spontaneous symmetry breaking

Peskin, 12.1.

Weinberg, 12.4.

Paper by Polchinski.

Wilson-Kogut review.

Review Peskin, 11.1, 11.3, and 11.6.

9 Spontaneous symmetry breaking (cont.), chiral symmetry breaking in QCD

Weinberg, chapter 19, especially 19.1 and 19.2.

Georgi, chapter 5.

Donoghue, et al., IV.1-6, VI.1-2, and VII.1.

11 Quantization of spontaneously broken gauge theory

Peskin, 20.1, 20.2, 20.3, 21.1, and 21.2.

Coleman, chapter 5.

13 One-loop electroweak corrections in the SM

Peskin, 21.3.

Donoghue, et al., chapters XV and XVI.

For a discussion of the implications of unitarity, see Weinberg 3.6 and 3.7.

14 Flavor physics and CP-violation

Donoghue, II-4.

Cheng and Li, 11.3.

Two Particle Data Goup articles on CP-violation: CP (PDF) and CKM (PDF)

For those wanting additional reading on CP violation see the Babar Physics Book (PDF - 12.8MB) and this review. For those looking for additional reading on heavy-quark symmetry, see the book by Manohar and Wise, “Heavy Quark Physics”.

17 Neutrino readings, anomalies in the Schwinger model

Review by Langacker, et al., and a PDG article (PDF - 18.3 MB)

Peskin, 19.1.

18 Anomalies

Peskin, chapter 19.1-19.5.

Weinberg, 22.1-22.4.

Donoghue, et al., III.1 - III.4.

20 Instantons

Donoghue, et al., III.5 and IX.5.

Weinberg, chapter 23.

Coleman, chapter 7.

22 Collider physics

Peskin, 17.1, 17.2, and 18.1-4.

Ellis, Sterling, and Weber, chapter 3.1, 3.2, 3.3, and 3.4.

24 Deep inelastic scattering (DIS) and parton splitting

Peskin, 17.3, 17.4, 17.5, and 18.5.

Ellis, et al., chapter 4.

25 Final readings

Confinement: Original articles by ’t Hooft which are reprinted in the book “Under the Spell of the Gauge Principle”.

Also Chapter 19 of the book by Smilga.

Higgs: TASI lectures by Reina.

Donoghue, p. 418.

Minimal Flavor Violation: Article.

SU(5): Cheng and Li, chapter 14.

Supersymmetry: Review article.

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