Lectures on Non-perturbative Renormalization

- I. Perturbative Renormalization and the Renormalization Group (a reminder)
- II. Non-perturbative Renormalization: the prickle Lectures_I+II
- III. Connecting low and high energies Lecture_III (including an Exercise)
- IV. New developments: the Gradient flow Lectures_III+IV

Exercises:

- Go through the argument in hep-th/9803147 (M. Testa), Sect. 2. Does it hold beyond PT?
- Show that $ M_i^s = M_i^{s’}$, where $s,s’$ are different schemes.
- Show that $ \Lambda^s = k\,\Lambda^{s’}$
- Determine $k$ in terms of $\chi_g^{(1)}, b_0$.
- What is needed to determine $\chi_g^{(1)}$?

Contact: rainer.sommer@desy.de

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