Thermal corrections to entanglement entropy from holography

被引：1
作者：
Leichenauer, Stefan [1 ,2 ]
机构：
[1] Univ Calif Berkeley, Ctr Theoret Phys, Berkeley, CA 94720 USA
[2] Univ Calif Berkeley, Dept Phys, Berkeley, CA 94720 USA
来源：
JOURNAL OF HIGH ENERGY PHYSICS | 2015年 / 09期
基金：
美国国家科学基金会;
关键词：
Gauge-gravity correspondence; AdS-CFT Correspondence; 1/N Expansion; Holography and condensed matter physics (AdS/CMT);
D O I：
10.1007/JHEP09(2015)014
中图分类号：
O412 [相对论、场论]; O572.2 [粒子物理学];
学科分类号：
摘要：
We use holographic techniques to calculate the first thermal correction to the entanglement entropy of a cap-like region of a CFT defined on a sphere, successfully reproducing the field theory result. Since this is an order-one correction to the entropy in the large-N expansion, quantum corrections to the holographic entanglement entropy formula are essential. The bulk calculation is made tractable using the same technical machinery recently used to derive the linearized Einstein equations in the bulk from the first law of entanglement entropy in the CFT.
引用
收藏
页数：11
相关论文
共 9 条
  • [1] [Anonymous], ARXIV14052933
  • [2] Area terms in entanglement entropy
    Casini, Horacio
    Mazzitelli, F. D.
    Teste, Eduardo
    [J]. PHYSICAL REVIEW D, 2015, 91 (10):
  • [3] Quantum extremal surfaces: holographic entanglement entropy beyond the classical regime
    Engelhardt, Netta
    Wall, Aron C.
    [J]. JOURNAL OF HIGH ENERGY PHYSICS, 2015, (01):
  • [4] Gravitation from entanglement in holographic CFTs
    Faulkner, Thomas
    Guica, Monica
    Hartman, Thomas
    Myers, Robert C.
    Van Raamsdonk, Mark
    [J]. JOURNAL OF HIGH ENERGY PHYSICS, 2014, (03):
  • [5] Quantum corrections to holographic entanglement entropy
    Faulkner, Thomas
    Lewkowycz, Aitor
    Maldacena, Juan
    [J]. JOURNAL OF HIGH ENERGY PHYSICS, 2013, (11):
  • [6] Universal thermal corrections to entanglement entropy for conformal field theories on spheres
    Herzog, Christopher P.
    [J]. JOURNAL OF HIGH ENERGY PHYSICS, 2014, (10):
  • [7] SOME PROPERTIES OF THE NOETHER CHARGE AND A PROPOSAL FOR DYNAMICAL BLACK-HOLE ENTROPY
    IYER, V
    WALD, RM
    [J]. PHYSICAL REVIEW D, 1994, 50 (02): : 846 - 864
  • [8] Gravitational dynamics from entanglement "thermodynamics"
    Lashkari, Nima
    McDermott, Michael B.
    Van Raamsdonk, Mark
    [J]. JOURNAL OF HIGH ENERGY PHYSICS, 2014, (04):
  • [9] Holographic derivation of entanglement entropy from the anti-de Sitter space/conformal field theory correspondence
    Ryu, Shinsei
    Takayanagi, Tadashi
    [J]. PHYSICAL REVIEW LETTERS, 2006, 96 (18)
1