Quenched equals annealed at leading order in the colored SYK model

被引：29
|
作者：
Gurau, Razvan [1 ,2 ]
机构：
[1] Univ Paris Saclay, CNRS, Ecole Polytech, Ctr Phys Theor, F-91128 Palaiseau, France
[2] Perimeter Inst Theoret Phys, 31 Caroline St N, Waterloo, ON N2L 2Y5, Canada
来源：
EPL | 2017年 / 119卷 / 03期
关键词：
D O I：
10.1209/0295-5075/119/30003
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
We consider a colored version of the SYK model, that is we distinguish the D vector fermionic fields involved in the interaction by a color. We obtain the full 1/N series of both the quenched and annealed free energies of the model and show that at leading order the two are identical. The results can be used to study systematically the 1/N corrections to this leading-order behavior. editor's choice Copyright (C) EPLA, 2017
引用
收藏
页数：6
相关论文
共 50 条
  • [11] On quenched and annealed critical curves of random pinning model with finite range correlations
    Poisat, Julien
    ANNALES DE L INSTITUT HENRI POINCARE-PROBABILITES ET STATISTIQUES, 2013, 49 (02): : 456 - 482
  • [12] Stable limit laws for the parabolic Anderson model between quenched and annealed behaviour
    Gaertner, Juergen
    Schnitzler, Adrian
    ANNALES DE L INSTITUT HENRI POINCARE-PROBABILITES ET STATISTIQUES, 2015, 51 (01): : 194 - 206
  • [13] Partially quenched chiral perturbation theory in the epsilon regime at next-to-leading order
    Lehner, Christoph
    Wettig, Tilo
    JOURNAL OF HIGH ENERGY PHYSICS, 2009, (11):
  • [14] Loss of Ergodicity in the Transition from Annealed to Quenched Disorder in a Finite Kinetic Ising Model
    de Almeida Prado, Fernando Pigeard
    Schuetz, Gunter M.
    JOURNAL OF STATISTICAL PHYSICS, 2011, 142 (05) : 984 - 999
  • [15] Spontaneous magnetization of quantum XY spin model in joint presence of quenched and annealed disorder
    Bera, Anindita
    Rakshit, Debraj
    Sen , Aditi
    Sen, Ujjwal
    PHYSICAL REVIEW B, 2017, 95 (22)
  • [16] Effects of quenched and annealed macromolecular crowding elements on a simple model for signaling in T lymphocytes
    Eide, JL
    Chakraborty, AK
    JOURNAL OF PHYSICAL CHEMISTRY B, 2006, 110 (05): : 2318 - 2324
  • [17] Loss of Ergodicity in the Transition from Annealed to Quenched Disorder in a Finite Kinetic Ising Model
    Fernando Pigeard de Almeida Prado
    Gunter M. Schütz
    Journal of Statistical Physics, 2011, 142 : 984 - 999
  • [18] Model Order Selection in Presence of Unknown Colored Noise
    Talebi, Farzad
    Pratt, Thomas G.
    2014 IEEE MILITARY COMMUNICATIONS CONFERENCE: AFFORDABLE MISSION SUCCESS: MEETING THE CHALLENGE (MILCOM 2014), 2014, : 462 - 466
  • [19] Power-law out of time order correlation functions in the SYK model
    Bagrets, Dmitry
    Altland, Alexander
    Kamenev, Alex
    NUCLEAR PHYSICS B, 2017, 921 : 727 - 752
  • [20] Subspace techniques for multidimensional model order selection in colored noise
    Liu, Kefei
    da Costa, Joao Paulo C. L.
    So, Hing Cheung
    Huang, Lei
    SIGNAL PROCESSING, 2013, 93 (07) : 1976 - 1987
12345