QFT Student Meetings
last updated: 4.25 PM, Jun 16, 2018
- 2018-01-25: organizational issues, brainstorming
- 2018-02-01: Why renormalization? Simple examples and general procedure. Based on . 
- 2018-02-08: Mass and coupling constant renormalization in φ4 theory at 1-loop. Based on Secs. 3.1 and 3.2 in . 
- 2018-02-15: Running coupling constants, energy scales, and cutoffs. [01, 02]
2018-02-22: no meeting (reading week)
- 2018-03-01: Running coupling constant from the 4-point function in φ4 theory at 1-loop. Clarification of cutoff, energy scale, and reference energy scale. 
- 2018-03-08: Understanding renormalized coupling constants in terms of the Wilsonian picture; Kadanoff's block-spin . 
- 2018-03-15: Slow and fast modes, obtaining the beta function in the Wilsonian picture [3,4].
- 2018-03-22: From the Ising model to the Landau–Ginzburg functional, based on . 
- 2018-03-29: Landau–Ginzburg and second-order phase transitions, based on [3,4,5]. [01, 02, 03]
- 2018-04-05: Derivation of φ4 β functions at 1-loop in the Wilsonian picture. Comparison to high energy physics results. [01, 02]
- 2018-04-12: From β functions to fixed points.
2018-04-19: no meeting (finals week)
- 2018-04-26: Fixed points. Relevant, marginal, and irrelevant couplings. [01, 02]
Suggestions for further meetings
- When to do what? Counterterm renormalization vs. wavefunction renormalization vs. other approaches
- Calculational techniques: comparing different regularization schemes (Pauli–Villars, dimensional regularization, momentum space cutoff, lattice regularization)
- What is power-counting renormalizability? Why is gravity not power-counting renormalizable?
- Markus Luty's Phys851 lecture notes on renormalization, available here.
- Wikipedia article on Kadanoff's block-spin.
- Ben Simons' Physics Part III lecture notes on the renormalization group, available here (chapter 4)
- Subir Sachdev, Quantum Phase Transitions (Cambridge University Press, Cambridge, 1999), Chapter 4.
- Alexander Altland and Ben Simons, Condensed Matter Field Theory (Cambridge University Press, Cambridge, 2010), Chapter 5.
- additional materials/textbooks: TBD