# Course Material

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:

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

Contact: rainer.sommer@desy.de

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