Effective Field Theory

Readings

Text and References

There is no required textbook. Some of the reading will be taken from the following texts. If you want to buy a book, I suggest Heavy Quark Physics, but note that it will only be useful for \(<20 %\) of the material.

• Manohar, Aneesh Vasant, and Mark B. Wise. Heavy Quark Physics. Cambridge University Press, 2007. ISBN: 9780521037570. [Preview with Google Books]
• Donoghue, John F., Eugene Golowich, et al. Dynamics of the Standard Model. Cambridge University Press, 1992. ISBN: 9780521362887.
• Collins, John C. Renormalization. Cambridge University Press, 1984. ISBN: 9780521242615.
• Georgi, Howard. Weak Interactions and Modern Particle Theory. Benjamin/Cummings Publishing Company, 1984. ISBN: 9780805331639. Also available online.
• Ellis, R. K., W. J. Stirling, et al. QCD and Collider Physics. Cambridge University Press, 1996. ISBN: 9780521581899.

The reading assignments below are for Part I of the course. See the lecture notes section for notes for Part II.

LEC #	READING ASSIGNMENTS
1	Weinberg, Steven. Chapter 18 in The Quantum Theory of Fields. Vol. 2. Cambridge University Press, 2005. ISBN: 9780521670548. Peskin, Michael E., and Daniel V. Schroeder. Chapter 12 in An Introduction to Quantum Field Theory. Westview Press, 1995. ISBN: 9780201503975.
2	For those needing a review of the SM look at:          Manohar, Aneesh Vasant, and Mark B. Wise. Chapter 1 in Heavy Quark Physics. Cambridge University Press, 2007. ISBN: 9780521037570. For dim-6 standard model operators look at:          Buchmuller, W., and D. Wyler. “dim-6 Operators.” Nuclear Physics B 268, no. 3–4 (1986): 621–53. Some of their operators are actually redundant by the equations of motion, see:          Grzadkowski, B., M. Iskrzyński, et al. “Dimension-six terms in the Standard Model Lagrangian.” Journal of High Energy Physics 85 (2010). For equations of motion, see the paper by C. Arzt discussed in class:          Arzt, C. “Reduced Effective Lagrangians.” Physics Letters B 342, no. 1–4 (1995): 189–95.
3	For the Dimensional Regularization read:          Collins, John C. Chapter 4 in Renormalization: An Introduction to Renormalization, the Renormalization Group, and the Operator-Product Expansion (Cambridge Monographs on Mathematical Physics). Cambridge University Press, 1984. ISBN: 9780521242615. For the Decoupling Theorem, look at the review article:          Manohar, Aneesh V. “Effective Field Theories.” 1996.
4–5	Look at the review article:          Buras, Andrzej J. “Weak Hamiltonian, CP Violation and Rare Decays.” 1998.          It’s long, so focus on pp. 41–50 for a review of renormalization group techniques in QCD, and pp. 50–69 on the OPE. Note that his O1 and O2 are my O2 and O1 respectively. For a discussion of the renormalization group at NLO/NLL see pp. 69–71 of the above article. Then look at pp. 82–6 for a discussion of scheme dependence and scheme independence.
6–7	Read the following to complement our Chiral Perturbation theory discussion this week:          Georgi, Howard. Section 2.6, and Chapter 5 in Weak Interactions and Modern Particle Theory. Benjamin/Cummings Publishing Company, 1984. ISBN: 9780805331639. Donoghue, John F., Eugene Golowich, and Barry R. Holstein. Dynamics of the Standard Model. Cambridge University Press, 1992, pp. 97–115. ISBN: 9780521362887 is also good reading. Note that the equations of motion for Sigma in Chiral Perturbation theory are derived on pp. 104–5 of the review:          Scherer, S. “Introduction to Chiral Perturbation Theory.” Advanced Nuclear Physics 27 (2003): 277. A discussion of CCWZ can be found on pp. 19–24 of the review:          Manohar, Aneesh V. “Effective Field Theories.” 1996.
8–10	Readings from Manohar, Aneesh Vasant, and Mark B. Wise. Heavy Quark Physics. Cambridge University Press, 2000. ISBN: 9780521037570. pp. 45–9, and 54–76 on HQET, Covariant Rep. of Fields pp. 77–95 on Renormalization and Matching pp. 102–7, and 115–23 on power corrections and renormalons in HQET Extra (optional) OPE Readings from Heavy Quark Physics : pp. 151–68, and 173–5 discuss the OPE for B->Xc e nu in a lot of detail Note that pp. 32–42 discuss the OPE for Deep Inelastic Scattering (which is actually a harder example than for B->Xc e nu)
11–12	Read the introduction, pp. 1–21 of:          Beneke, M. “Renormalons”. Physics Reports 317, no. 1 (1999): 1–142. Two short papers, one on the R-RGE and MSR mass: Hoang, Andre H., Ambar Jain, et al. “Infrared Renormalization-Group Flow for Heavy-Quark Masses”. Physical Review Letters 101, no. 15 (2008): 151602–2.4 and one on using R-scheme for operator product expansions as a way of perturbing from MSbar towards a Wilsonian OPE. ———. “R Evolution: Improving Perturbative QCD”. Physical Review D Particles Fields 82, no. 1 (2010): 011501–1.5.
13–14	For information on fine-tuning, see:          Kaplan, David B., Martin J. Savage, et al. . “A New Expansion for Nucleon-Nucleon Interactions”. Physics Letters B 424, no. 3–4 (1998): 390–6. Thesis, Stewart, Iain W. Applications of Chiral Perturbation Theory in Reactions with Heavy Particles. Pasadena, California Institute of Technology, 1999, pp. 16–26, introduction to the EFT, the fixed points and beta function; (extra, non-assigned reading for Chapter 5 on why its one-loop exact for a certain class of operators and details on renormalization schemes). For information on conformal invariance see:          Mehen, T., I. W. Stewart, et al. “Conformal Invariance for Non-Relativistic Field Theory”. Physics Letters B 474, no. 1 (2000): 145–52. For information on the su(4) Wigner symmetry, see:          ———. “Wigner Symmetry in the Limit of Large Scattering Lengths”. Physical Review Letters 83, no. 5 (1999): 931–34. For information on the deuteron form factors see:          Kaplan, David B., Martin J. Savage, et al. A Perturbative Calculation of the Electromagnetic Form Factors of the Deuteron. Physical Review C 59, no. 2 (1999): 617–29.