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Jun 26, 2020 at 20:36 comment added Carlo Beenakker you can of course multiply the integrand by the factor $1+{\rm det}\,u$ to constrain the average over $O(N)$ to $SO(N)$; I have used this approach in App.B of arXiv:1012.0932 for a particular problem in the context of topological superconductivity.
Jun 26, 2020 at 19:22 answer added Abdelmalek Abdesselam timeline score: 1
Jun 25, 2020 at 18:09 history edited LSpice CC BY-SA 4.0
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Jun 25, 2020 at 18:02 history edited Marcel CC BY-SA 4.0
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Jun 24, 2020 at 19:21 history asked Marcel CC BY-SA 4.0