Local/Short-range conformal field theories from long-range perturbation theory

Junchen Rong

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arXiv · 2406.17958

Local/Short-range conformal field theories from long-range perturbation theory

Junchen Rong

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Abstract

We show that by imposing the conformal Wald identity, one can extract conformal data of the corresponding short-range/local CFT from the long-range perturbation theory. We first apply this to the O(N) vector model. We demonstrate that by properly re-sum the perturbative series, one gets reasonable estimations of the critical exponents of the local/short-range CFTs. We then apply this method to study fermionic models with four-fermion interactions. In 2+1 dimensions, the model has the Gross-Neveu coupling and the Thirring coupling. We also consider a 4+1 dimensional theory with a generalized Thirring coupling.

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Junchen Rong. 2024-06-25. Local/Short-range conformal field theories from long-range perturbation theory. https://arxiv.org/abs/2406.17958

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