Entanglement entropy of large- N Wilson-Fisher conformal field theory

Seth Whitsitt; William Witczak-Krempa; Subir Sachdev

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Entanglement entropy of large- N Wilson-Fisher conformal field theory

机译：大N Wilson-Fisher共形场理论的纠缠熵

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We compute the entanglement entropy of the Wilson-Fisher conformal field theory (CFT) in 2+1 dimensions with O(N) symmetry in the limit of large N for general entanglement geometries. We show that the leading large-iV result can be obtained from the entanglement entropy of N Gaussian scalar fields with their mass determined by the geometry. For a few geometries, the universal part of the entanglement entropy of the Wilson-Fisher CFT equals that of a CFT of N massless scalar fields. However, in most cases, these CFTs have a distinct universal entanglement entropy even at N = ∞. Notably, for a semi-infinite cylindrical region it scales as N~0 in the Wilson-Fisher theory, in stark contrast to the N-linear result of the Gaussian fixed point.

机译：我们在一般纠缠几何的大N限制下，以O（N）对称性在2 + 1维中计算了Wilson-Fisher共形场理论（CFT）的纠缠熵。我们表明，可以从N个高斯标量场的纠缠熵及其质量由几何确定的结果中获得领先的大iV结果。对于某些几何，Wilson-Fisher CFT的纠缠熵的通用部分等于N个无质量标量场的CFT的熵的通用部分。但是，在大多数情况下，即使在N =∞时，这些CFT仍具有明显的通用纠缠熵。值得注意的是，对于半无限圆柱区域，它在Wilson-Fisher理论中的缩放比例为N〜0，与高斯不动点的N线性结果形成鲜明对比。

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《Physical review》 |2017年第4期|045148.1-045148.9|共9页
作者
Seth Whitsitt; William Witczak-Krempa; Subir Sachdev;
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作者单位

Department of Physics, Harvard University, Cambridge, Massachusetts 02138, USA;

Department of Physics, Harvard University, Cambridge, Massachusetts 02138, USA,Departement de Physique, Universite de Montreal, Montreal, Quebec, Canada H3C 3J7;

Department of Physics, Harvard University, Cambridge, Massachusetts 02138, USA,Perimeter Institute for Theoretical Physics, Waterloo, Ontario, Canada N2L2Y5;

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Entanglement entropy of large- N Wilson-Fisher conformal field theory

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