Entanglement and thermal entropy of gauge fields

Entanglement and thermal entropy of gauge fields
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规范场的纠缠和热熵

DOI:
10.1007/jhep11(2013)019
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发表时间:
2013
影响因子:
5.4
通讯作者:
S. Theisen
S. Theisen
中科院分区:
物理与天体物理2区
文献类型:
--
作者:
C. Eling;Y. Oz;S. Theisen

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研究了闵可夫斯基真空中带纠缠球的规范场纠缠熵的普遍对数发散项。利用arXiv:1102.0440中的映射,我们分析了开放爱因斯坦宇宙和de Sitter静态补丁上相应的热熵。利用拉普拉斯向量的热核,我们解决了自由场计算与期望的欧拉共形异常之间的差异。该决议提出了对已知的共形平坦时空上自旋-1能量-动量张量真空期望值公式的修正。
A bstractWe consider the universal logarithmic divergent term in the entanglement entropy of gauge fields in the Minkowski vacuum with an entangling sphere. Employing the mapping in arXiv:1102.0440, we analyze the corresponding thermal entropy on open Einstein universe and on the static patch of de Sitter. Using the heat kernel of the vector Laplacian we resolve a discrepancy between the free field calculation and the expected Euler conformal anomaly. The resolution suggests a modification of the well known formulas for the vacuum expectation value of the spin-1 energy-momentum tensor on conformally flat space-times.