کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
1851594 1528807 2015 6 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Exact results for corner contributions to the entanglement entropy and Rényi entropies of free bosons and fermions in 3d
موضوعات مرتبط
مهندسی و علوم پایه فیزیک و نجوم فیزیک هسته ای و انرژی بالا
پیش نمایش صفحه اول مقاله
Exact results for corner contributions to the entanglement entropy and Rényi entropies of free bosons and fermions in 3d
چکیده انگلیسی

In the presence of a sharp corner in the boundary of the entanglement region, the entanglement entropy (EE) and Rényi entropies for 3d CFTs have a logarithmic term whose coefficient, the corner function, is scheme-independent. In the limit where the corner becomes smooth, the corner function vanishes quadratically with coefficient σ   for the EE and σnσn for the Rényi entropies. For a free real scalar and a free Dirac fermion, we evaluate analytically the integral expressions of Casini, Huerta, and Leitao to derive exact results for σ   and σnσn for all n=2,3,…n=2,3,… . The results for σ   agree with a recent universality conjecture of Bueno, Myers, and Witczak-Krempa that σ/CT=π2/24σ/CT=π2/24 in all 3d CFTs, where CTCT is the central charge. For the Rényi entropies, the ratios σn/CTσn/CT do not indicate similar universality. However, in the limit n→∞n→∞, the asymptotic values satisfy a simple relationship and equal 1/(4π2)1/(4π2) times the asymptotic values of the free energy of free scalars/fermions on the n-covered 3-sphere.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Physics Letters B - Volume 749, 7 October 2015, Pages 383–388
نویسندگان
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