Alessandro Giuliani: Anomalous exponents and scaling operators in a 3D fermionic Φ^4 theory
Автор: Hausdorff Center for Mathematics
Загружено: 2025-06-25
Просмотров: 40
Описание:
We consider a model of 3D simplectic fermions with fractional kinetic term, compute its field and density critical exponents, and prove that the scaling dimension of the density operator is anomalous and analytic in the distance $\epsilon$ from the non-interacting reference Gaussian theory. We define scaling operators associated with the field and the density and prove scale invariance of their response functions. Connections with a CFT description of the model will be discussed.
Based on joint work with Vieri Mastropietro, Slava Rychkov and Giuseppe Scola https://arxiv.org/abs/2404.14904.
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