https://neckpinch.com/authors/yu-nakayama/New arXiv papers by Yu Nakayama, from Neckpinch Tue, 10 Nov 2026 04:10:28 GMT https://neckpinch.com/papers/2006.05070/arxiv:2006.05070Tue, 09 Jun 2020 00:00:00 GMTYu Nakayama — There exists a certain argument that in even dimensions, scale invariant quantum field theories are conformal invariant. We may try to extend the argument in 2n + ε dimensions, but the naive extension has a small loophole, which indeed shows an obstruction in non-linear sigma models in 2+ε dimensions. Even though it could have failed due to the loophole, we show that scale invariance does imply conformal invariance of non-linear sigma models in 2+ε dimension from the seminal work by Perelman on the Ricci flow.Ricci flowPhysics