Massive Corrections to Entanglement in Minimal E8 Toda Field Theory
Massive Corrections to Entanglement in Minimal E8 Toda Field Theory
复制标题
对最小 E8 Toda 场论中纠缠的大规模修正
DOI：
10.21468/scipostphys.2.1.008
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发表时间：
2016
影响因子：
5.4
通讯作者：
O. Castro
中科院分区：
文献类型：
--
作者：
O. Castro
本文研究了最小E_8户田场论中长度为L的区间上第二类R ′ enyi熵的饱和指数衰减修正.一段时间以来，人们已经知道，在1+1维中，大质量量子场论的纠缠熵饱和到一个恒定值，其中m1是光谱中最轻粒子的质量。随后，结果由Cardy，Castro-Alvaredo和Doyon已经表明，有指数衰减的修正，这一行为的特点是贝塞尔函数的参数成比例的m1 L。对于冯·诺依曼熵，对饱和度的主要校正采用精确的通用形式-K 0（2 m1 L）/8，而对于R ′ enyi熵，预期与K 0（m1 L）成比例的主要校正。P 'almai最近对最小E8户田的第二个R' enyi熵的数值工作发现，次领先阶校正衰减为exp（-2m1 L），而不是预期的exp（-m1 L）。在本文中，我们调查的起源，这一结果，并表明它是不正确的。对分支点扭曲场的修正子的精确形状因子的计算表明，超前修正与K_0（m ~ 1 L）成正比。
In this letter we study the exponentially decaying corrections to saturation of the second R\'enyi entropy of one interval of length L in minimal E8 Toda field theory. It has been known for some time that the entanglement entropy of a massive quantum field theory in 1+1 dimensions saturates to a constant value for m1 L <<1 where m1 is the mass of the lightest particle in the spectrum. Subsequently, results by Cardy, Castro-Alvaredo and Doyon have shown that there are exponentially decaying corrections to this behaviour which are characterised by Bessel functions with arguments proportional to m1 L. For the von Neumann entropy the leading correction to saturation takes the precise universal form -K0(2m1 L)/8 whereas for the R\'enyi entropies leading corrections which are proportional to K0(m1 L) are expected. Recent numerical work by P\'almai for the second R\'enyi entropy of minimal E8 Toda has found next-to-leading order corrections decaying as exp(-2m1 L) rather than the expected exp(-m1 L). In this paper we investigate the origin of this result and show that it is incorrect. An exact form factor computation of correlators of branch point twist fields reveals that the leading corrections are proportional to K0(m1 L) as expected.
DOI：
10.1088/1751-8113/48/4/04ft01
发表时间：
2015-01-30
影响因子：
2.1
作者：
Bianchini, D.;Castro-Alvaredo, O.;Ravanini, F.
通讯作者：
Ravanini, F.