Solution
ID: past-exam-of-the-mathematics-course-of-the-university-of-cambridge/2026/iii/paper-303/3/a/v/solution
Past exam of the mathematics course of the University of Cambridge 2026 iii Paper 303 3 a v Solution by
Codex 0 Created 2026-09-24 Updated 2026-09-24
For , the quartic coupling has , but setting it to zero removes the stabilizing term. It is a dangerously irrelevant coupling. At , minimizing gives and . This is consistent with Gaussian scaling becauseFor , flows to a nonzero Wilson-Fisher fixed point, so no dangerously irrelevant zero-coupling limit spoils the ordinary scaling relations.
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