动量耗散Born-Infeld电动力学：AdS黑洞的全息输运特性
58 浏览量
更新于2024-09-03
收藏 1.06MB PDF 举报
本文主要探讨了在具有动量耗散的Born-Infeld电动力学框架下，对爱因斯坦-轴距AdS黑洞的电荷输运性质的研究。作者们以Yangzhou University和Yunnan Normal University的研究团队为主，从理论物理的角度出发，分析了Born-Infeld电动力学在黑洞背景下的应用。
在研究过程中，他们首先计算了双边界理论中的直流输运系数，特别是电导率。值得注意的是，相比于Reissner-Nordström-AdS (RN-AdS) 黑洞，Born-Infeld电动力学引入的理论导致电导率对温度有独特的依赖性，这是一个新的物理现象。通过深入研究，作者揭示了Born-Infeld参数对这些输运系数的影响，这表明了Born-Infeld修正对于理解黑洞的电动力学行为至关重要。
接着，研究者转向了交流电导率的分析，特别是在存在动量耗散的情况下。他们发现，当动量耗散较弱时，低频行为符合标准Drude公式，表现出相对简单的行为。然而，随着动量耗散增强，系统从相干传输转变为非相干传输，且Born-Infeld校正会放大这种非相干效应，进一步揭示了系统复杂性与动力学性质之间的联系。
最后，文章还关注了探针极限下的非线性电导率，这是对理论模型的一种检验。作者将他们的结果与DBI模型中的相关观测进行了对比，以验证理论的有效性和一致性。整体而言，这项工作不仅扩展了我们对黑洞电荷输运的理解，也展示了Born-Infeld电动力学在描述黑洞物理中的重要角色，以及动量耗散如何影响这些基本物理过程。
通过这篇Open Access的文章，研究人员为理解量子引力背景下的电动力学行为提供了新的洞察，为未来的黑洞物理学研究提供了有价值的数据和理论基础。
Eur. Phys. J. C (2018) 78 :900 Page 3 of 11 900
M =−
β
2
2
−
γμ
2
+ 1
6γ
+
1
6γ
+
μ
2
2
F
1
1
4
,
1
2
;
5
4
;−γμ
2
3
+ 1 . (12)
The Hawking temperature of the black brane is
T =
1
4π
3 −
β
2
2
+
1
2γ
1 −
γμ
2
+ 1
. (13)
This black brane solution is specified by the two dimension-
less parameters
ˆ
T =
T
μ
BI
and
ˆ
β =
β
μ
BI
, in which the tem-
perature can be reexpressed as
ˆ
T =
−
ˆ
β
2
γμ
2
BI
−
γμ
2
+ 1 +6γ + 1
8πγμ
BI
. (14)
Now, we have obtained an analytical black brane solu-
tion in the framework of Einstein–Born–Infeld-axions the-
ory. Notice that when γ → 0, the non-linear action for
Maxwell field (1) can be expanded into the hand-given form
Eq. (2.9) with tiny in [68]. And they discuss the case
>0 (corresponding to γ<0 here) to address the insu-
lating phase. But when γ<0, there is a value of γ , below
which the black brane solution becomes complex. In this
paper, we shall mainly focus on the holographic properties
of all DC transport coefficients and AC electric conductivity
at low frequency region. So we only consider γ>0 unless
we specially point out.
3 Electric, thermal and thermoelectric DC conductivity
In this section, we will calculate the DC conductivity includ-
ing electric, thermal and thermoelectric conductivity via the
technics proposed in [28,74,75]. To this end, we consider the
following consistent perturbations at the linear level
δg
tx
=
1
u
2
(H (u)t + h
tx
(u)) , δg
ux
=
1
u
2
h
ux
(u),
δ A
x
= E
p
(u)t + a
x
(u), δφ
x
= δχ
x
(u). (15)
According to [74], one defines two radial conserved quan-
tities whose values at the boundary (u → 0) are related
respectively to the charge and heat response currents in the
dual field,
J =
√
−g
F
ux
1 +
γ
2
F
2
, J
Q
= 2
√
−g∇
u
k
x
− A
t
J ,
(16)
where k
μ
= ∂
t
is the Killing vector. In terms of the back-
ground ansatz Eq. (8) and the perturbation Eq. (15), the two
conserved currents read explicitly as
J =
tHA
t
+ h
tx
A
t
+ f
a
x
+ tE
p
1 − γ u
4
(A
t
)
2
, (17)
J
Q
=−
−tHf
− h
tx
f
+ f (tH
+ h
tx
)
u
2
− A
t
J . (18)
We assume the special forms of E
p
(u) =−E
x
+ ζ A
t
(u),
H(u) =−ζ f (u) where the constants E
x
and ζ parametrize
the sources for the electric current and heat current, respec-
tively. Then, the related terms with respect to the time t can
be canceled and the conserved currents become
J =−Q
BI
h
tx
+
fa
x
A
t
, J
Q
=−
f
2
u
2
h
tx
f
− A
t
J .
(19)
In the above expression, we have defined the charge density
Q
BI
as
Q
BI
=−
A
t
(u)
1 − γ u
4
A
t
(u)
2
, (20)
which is the conserved electric charge density.
Next, we shall evaluate the DC conductivities by the fol-
lowing expressions [74]
σ
DC
=
∂J
∂ E
x
, ¯α
DC
=
1
T
∂J
Q
∂ E
x
,
α
DC
=
1
T
∂J
∂ξ
, ¯κ
DC
=
1
T
∂J
Q
∂ξ
. (21)
Since J and J
Q
are both conserved quantities along u direc-
tion, we can evaluate the above expressions at horizon. To
achieve this goal, we analyze the behaviors of the perturba-
tive quantities at the horizon. First, it is easy to obtain the
following express from Einstein equation
h
ux
=
−Q
BI
E
p
+ β f χ
x
+ H
β
2
f
. (22)
Further, we have
h
tx
=−fh
ux
=−
Q
BI
E
x
β
2
+ ζ
f
β
2
,
f
2
h
tx
f
=
Q
BI
E
x
f
β
2
− ζ
( f
)
2
β
2
, a
x
=
E
x
f
. (23)
Note that the above equations including Eqs. (22) and (23)
have taken value at the horizon, i.e., u = 1. And then we can
evaluate the currents at the horizon, which give
J = E
x
−
Q
BI
A
t
+
Q
2
BI
β
2
− ζ
Q
BI
f
β
2
,
J
Q
=−E
x
Q
BI
f
β
2
+ ζ
( f
)
2
β
2
. (24)
123
剩余10页未读，继续阅读
2020-04-17 上传
2020-03-30 上传
2020-03-28 上传
2020-04-08 上传
2020-04-01 上传
2020-04-17 上传
2020-04-03 上传
2020-04-10 上传
2020-03-26 上传
weixin_38737144
- 粉丝: 4
- 资源: 942
我的内容管理
展开
最新资源
- PureMVC AS3在Flash中的实践与演示：HelloFlash案例分析
- 掌握Makefile多目标编译与清理操作
- STM32-407芯片定时器控制与系统时钟管理
- 用Appwrite和React开发待办事项应用教程
- 利用深度强化学习开发股票交易代理策略
- 7小时快速入门HTML/CSS及JavaScript基础教程
- CentOS 7上通过Yum安装Percona Server 8.0.21教程
- C语言编程：锻炼计划设计与实现
- Python框架基准线创建与性能测试工具
- 6小时掌握JavaScript基础：深入解析与实例教程
- 专业技能工厂，培养数据科学家的摇篮
- 如何使用pg-dump创建PostgreSQL数据库备份
- 基于信任的移动人群感知招聘机制研究
- 掌握Hadoop：Linux下分布式数据平台的应用教程
- Vue购物中心开发与部署全流程指南
- 在Ubuntu环境下使用NDK-14编译libpng-1.6.40-android静态及动态库
