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High Energy Physics - Theory

arXiv:2111.11028 (hep-th)
[Submitted on 22 Nov 2021 (v1), last revised 21 Feb 2022 (this version, v4)]

Title:Charged Rényi negativity of massless free bosons

Authors:Hui-Huang Chen
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Abstract:In this paper, we consider the computation of charged moments of the reduced density matrix of two disjoint intervals in the $1+1$ dimensional free compactified boson conformal field theory (CFT) by studying the four-point function of the fluxed twist fields. We obtained the exact scaling function of this four-point function and discussed its decompactification limit. This scaling function was used to obtain the charged moments of the partial transpose which we refer as charged Rényi negativity. These charged moments and the charged moments of the partial transpose are essential for the problem of symmetry decomposition of the corresponding entanglement measures. We test our analytic formula against exact numerical computation in the complex harmonic chain, finding perfect agreements.
Comments: 25 pages, 5 figures, published version
Subjects: High Energy Physics - Theory (hep-th); Statistical Mechanics (cond-mat.stat-mech)
Cite as: arXiv:2111.11028 [hep-th]
  (or arXiv:2111.11028v4 [hep-th] for this version)
  https://doi.org/10.48550/arXiv.2111.11028
Related DOI: https://doi.org/10.1007/JHEP02%282022%29117

Submission history

From: Hui-Huang Chen [view email]
[v1] Mon, 22 Nov 2021 07:29:36 UTC (414 KB)
[v2] Sun, 28 Nov 2021 04:37:54 UTC (415 KB)
[v3] Sun, 23 Jan 2022 12:31:35 UTC (416 KB)
[v4] Mon, 21 Feb 2022 12:53:18 UTC (416 KB)
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