Novel parity violating transport coefficients in 2 + 1 dimensions from holography

被引:0
作者
Jiunn-Wei Chen
Shou-Huang Dai
Nien-En Lee
Debaprasad Maity
机构
[1] National Taiwan University,Department of Physics and Center for Theoretical Sciences
[2] National Taiwan University,Leung Center for Cosmology and Particle Astrophysics
[3] National Taiwan Normal University,Department of Physics
来源
Journal of High Energy Physics | / 2012卷
关键词
Gauge-gravity correspondence; AdS-CFT Correspondence; Holography and quark-gluon plasmas; Holography and condensed matter physics (AdS/CMT);
D O I
暂无
中图分类号
学科分类号
摘要
We construct a 3+1 dimensional holographic model dual to a parity violating hydrodynamic system in 2+1 dimensions. Our model contains gravitational and electrodynamic Chern-Simons terms coupled to a neutral pseudo scalar θ, and a potential composed of quadratic and quartic terms in θ. The background is a charged black brane. We study the hydrodynamics to first order in spacetime derivatives near the probe limit of the pseudo scalar, by extracting the transport coefficients from the scalar, vector, and tensor modes of bulk perturbations. We study two mechanisms for breaking the parity of the boundary fluid: the parity is either spontaneously broken by the nonzero vev of the dual pseudo scalar operator, or by the pseudo scalar source on the boundary. We discover some novel temperature-dependent behaviors of the transport coefficients. It would be interesting to find these behaviors being realized in the real world materials.
引用
收藏
相关论文
共 134 条
[1]  
Policastro G(2001)The shear viscosity of strongly coupled N = 4 supersymmetric Yang-Mills plasma Phys. Rev. Lett. 87 081601-1017
[2]  
Son D(2003)Holography and hydrodynamics: diffusion on stretched horizons JHEP 10 064-undefined
[3]  
Starinets A(2008)Nonlinear fluid dynamics from gravity JHEP 02 045-undefined
[4]  
Kovtun P(2008)Black hole dynamics from atmospheric science JHEP 05 106-undefined
[5]  
Son DT(2009)Forced fluid dynamics from gravity JHEP 02 018-undefined
[6]  
Starinets AO(2008)Conformal nonlinear fluid dynamics from gravity in arbitrary dimensions JHEP 12 116-undefined
[7]  
Bhattacharyya S(2008)Nonlinear viscous hydrodynamics in various dimensions using AdS/CFT JHEP 10 063-undefined
[8]  
Hubeny VE(2011)Hydrodynamics from charged black branes JHEP 01 094-undefined
[9]  
Minwalla S(2009)Fluid dynamics of R-charged black holes JHEP 01 055-undefined
[10]  
Rangamani M(2011)Dissipative superfluid dynamics from gravity JHEP 04 125-undefined