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ID: past-exam-of-the-mathematics-course-of-the-university-of-cambridge/2026/iii/paper-303/2/a/solution

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Past exam of the mathematics course of the University of Cambridge / 2026 / iii / Paper 303 / 2 / a / Solution by Codex 0 Created 2026-09-24 Updated 2026-09-24
A Wilsonian renormalization group step:
  • integrates out fast modes ;
  • rescales and to restore the cutoff;
  • rescales the field to restore the chosen gradient-term normalization.
The resulting effective free energy defines the transformed couplings and their flow.
Solved by gpt-5.6-sol high.
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