**AdQFT Colorado**

### Advanced Quantum Field Theory, 2012—2013

Fridays 10:30 in G1B31

### Topics

- Basic group theory, non-abelian gauge theory
- Standard model
- Anomalies, chiral gauge theories
~~, Schwinger model~~ - Solitons and instantons
- Group theory applications to GUTs
~~and Little Higgs~~ - Supersymmetry
- Large N
- Seiberg duality
~~Conformal field theory~~~~AdS/CFT~~

### Schedule

**7 September 2012:**Classical non-abelian gauge theories

**Reading:**Peskin & Schroeder chapter 15; Srednicki chapters 69—70**Facilitator:**Anqi**Resources:**- David's comments on the discussion
- Solutions to some problems from Peskin chapter 15: David's and Wati's

**14 September 2012:**Quantizing non-abelian gauge theories: Faddeev—Popov procedure

**Reading:**Peskin & Schroeder sections 16.1—16.4 (optionally skim 16.5—16.6); Srednicki chapters 71 and 74 (optionally skim 72—73); Zee section III.4**Facilitator:**Greg**Resources:**- Solutions to some problems including Fadeev—Popov practice: David's and Iain's

**21 September 2012:**Quantizing non-abelian gauge theories: BRST symmetry and the beta function

**Reading:**Peskin & Schroeder sections 16.3—16.6; Srednicki chapters 72—74; Zee section III.4**Facilitator:**Oscar**Resources:**- David's comments on the discussion
- Solutions to some beta function problems: David's and Iain's (part 1, part 2)

**28 September 2012:**Gauged spontaneous symmetry breaking, Higgs mechanism

**Reading:**Srednicki chapters 84—86; optionally Peskin & Schroeder section 20.1**Facilitator:**Anqi**Resources:**

**5 October 2012:**Standard model — electroweak symmetry breaking, flavor/CKM, neutrino masses

**Reading:**Srednicki chapters 87—89 and 91; optionally Peskin & Schroeder sections 20.2—20.3**Facilitator:**Oscar**Resources:**- David's comments on the discussion
- Solutions to some problems on the standard model from Peskin & Schroeder chapter 20 and "final project": David's and Iain's (text, figures)

**12 October 2012:**Anomalies

**Reading:**Srednicki chapters 75—77, Peskin & Schroeder sections 19.2 & 19.4**Facilitator:**Greg**Resources:**- David's comments on the discussion
- Solutions to some problems on anomalies: David's and Iain's

**24 October 2012:**Solitons

**Reading:**Chris Rosen's review, Srednicki chapter 92, eventually Coleman chapter 6**Facilitator:**Oscar

**2 November 2012:**Instantons

**Reading:**Srednicki chapter 93, Coleman sections 7.1—7.3, eventually the rest of Coleman chapter 7**Facilitator:**Greg**Resources:**- TASI lectures by David Tong on solitons: writeup from 2005 (also here), videos from 2007
- Solutions to a problem on instantons: David's and Iain's

**9 November 2012:**Chiral symmetry breaking and theta vacua

**Reading:**Srednicki chapters 83 and 94**Facilitator:**Anqi

**30 November 2012:**Group theory — roots, weights and Dynkin diagrams

**Reading:**Slansky section 4 (optionally sections 5—6); Georgi chapters 6—8**Facilitator:**Oscar**Resources:**

**7 December 2012:**Group theory — more SU(3), classification

**Reading:**Georgi chapters 9 and 20, skim 19**Facilitator:**Greg**Resources:**

**14 December 2012:**Grand unification (with prelude on Young tableaux)

**Reading:**Srednicki chapter 97, optionally Georgi sections 18.6—18.8**Facilitator:**Anqi**Resources:**

**18 January 2013:**Introducing supersymmetry

**Reading:**Srednicki chapter 95**Facilitator:**Oscar**Resources:**- David's comments on the discussion
- The reviews David used in a susy reading course a few years back (from least to most technical):

- Ian J R Aitchison, "Supersymmetry and the MSSM: An Elementary Introduction", hep-ph/0505105, 12 May 2005 (this one doesn't seem to have been useful enough to carry from Boston to Boulder)
- Michael E. Peskin, "Supersymmetry in Elementary Particle Physics", arXiv:0801.1928, 13 January 2008
- Stephen P. Martin, "A Supersymmetry Primer", hep-ph/9709356 — used v4 (1 June 2006) but the latest is v6 (6 September 2011)
- Philip Argyres, "Introduction to Supersymmetry" (the version from 1996 with 2-component spinor notation; there is also a version from 2001 that uses 4-component notation, following Weinberg3)

- Flip Tanedo also wrote a guide to introductory supersymmetry literature a few years back

**25 January 2013:**Supersymmetry and the MSSM

**Reading:**Srednicki chapters 95—96**Facilitator:**Oscar**Resources:**- David's comments on the discussion

**1 February 2013:**Classical non-abelian gauge theories

**Reading:**Peskin & Schroeder chapter 15; Srednicki chapters 69—70**Facilitator:**Greg**Resources:**- Solutions to some problems from Peskin chapter 15: David's and Wati's

**8 February 2013:**Non-abelian group theory continued

**Reading:**Srednicki chapter 70**Facilitator:**Anqi

**15 February 2013:**Non-abelian gauge theories continued

**Reading:**Srednicki chapter 71 and less carefully chapters 72—73**Facilitator:**Anqi**Resources:**- Solutions to some beta function problems: David's and Iain's (part 1, part 2)

**22 February 2013:**Large N introduction

**Reading:**Coleman chapter 8: section 1, the first five paragraphs of section 2, and sections 3.1—3.2**Facilitator:**Greg

**1 March 2013:**Large N continued

**Reading:**Coleman chapter 8, sections 3.2—3.4**Facilitator:**Greg

**8 March 2013:**Duality in the two-dimensional Ising model

**Reading:**Savit section II.A**Facilitator:**Oscar**Resources:**

**15 March 2013:**Dualities in two dimensions

**Reading:**Coleman sections 6.5.1—6.5.2 and Savit section IV.B**Facilitator:**Oscar

**5 April 2013:**Monopoles and anomalies for supersymmetric dualities

**12 April 2013:**Instantons and conformality for supersymmetric dualities

**Reading:**Terning, sections 7.5—7.8**Facilitator:**Anqi

**19 April 2013:**Holomorphy in Supersymmetric Yang—Mills

**Reading:**Terning, chapter 8**Facilitator:**Greg

**26 April 2013:**Supersymmetric QCD with

*F < N*

**Reading:**Terning, chapter 9**Facilitator:**Oscar

**3 May 2013:**Seiberg duality for

*F > N + 1*

**Reading:**Terning sections 10.1—10.6, and skim section 1 of Matt Strassler, The Duality Cascade (TASI 2003)**Facilitator:**Greg

### Etc.

- Errata and pre-publication draft of Srednicki's text
- Preskill lecture notes
- Pre-print of Georgi's 1993 review of effective field theory, and MIT OpenCourseWare for Iain Stewart's 2006 special topics course. Srednicki also recommends Georgi's book on weak interactions for this topic, a pre-print of which is also available.

Last modified 8 May 2013