类空Maxwell-Chern-Simons理论中的真空切伦科夫辐射

类空Lorentz破坏背景下MCS模型中的电子-电子相互作用

Electron-electron interaction in a MCS model with a purely spacelike Lorentz-violating background

一个考虑平面麦克斯韦-陈-西蒙斯电动力学在一个纯粹的类空洛伦兹破坏背景的存在。一旦狄拉克扇区被适当地引入并耦合到标量场和规范场，电子-电子相互作用被评估为穆勒散射振幅的傅里叶变换（在非相对论极限中导出）。相关的傅里叶积分不能精确地进行，但可以得到相互作用势的代数解，其级数为（v/s）^[2]。然后观察到标量势在原点附近（远离原点）呈现对数吸引（排斥）行为。对于规范势，它是由背景贡献修正的纯MCS相互作用组成的，也是其各向异性的原因。还证实了这种修正对某些参数值可能使规范势变得有吸引力。这种吸引力甚至在离心势垒和规范不变量A. A项的存在下仍然存在，这构成了与库珀对形成相容的条件。

时空的理论课题-对称性破坏

Theoretical topics in spacetime-symmetry violations

考虑了电动力学的Lorentz-和CPT-违反的Chern-Simons扩展。在四维时空中N=4的超引力的背景下，有人认为宇宙学解可以产生这种扩展。在陈-西蒙斯电动力学，理论和唯象的主题进行审查，关注的剩余时空对称性和真空切伦科夫效应的数量，分别。

Cherenkov Radiation with Massive, CPT-violating Photons

The source of CPT-violation in the photon sector of the Standard Model Extension arises from a Chern-Simons-like contribution that involves a coupling to a fixed background vector field $k_{AF}^μ$. These Lorentz- and CPT-violating photons have well-known theoretical issues that arise from missing states at low momenta when $k_{AF}^μ$ is timelike. In order to make the theory consistent, a tiny mass for the photon can be introduced, well below current experimental bounds. The implementation of canonical quantization can then be implemented as in the CPT-preserving case by using the Stückelberg m…

关于QED规范不变变量和相互作用能的注记

Remarks on Gauge-Invariant Variables and Interaction Energy in QED

利用规范不变变量的路径依赖关系，重新考察了纯QED和Maxwell-Chern-Simons规范理论中相互作用能的计算.特别是，我们考虑一个类空直线导致庞加莱规范。的微妙之处有关的问题，明确展示的相互作用能的说明。

Maxwell-Chern-Simons-Proca电动力学Lorentz破坏情形下的经典解

Classical Solutions in a Lorentz-violating Scenario of Maxwell-Chern-Simons-Proca Electrodynamics

本文从Abelian-Higgs Carroll-Field-Jackiw模型降维后的平面模型出发，写出并研究了扩展的麦克斯韦方程组及其相应的势的波动方程。这些方程的解对应于MCS-Proca系统的通常解，并补充了背景相关的校正项。在纯类时背景的情况下，精确的代数解具有类似的行为的MCS-Proca同行附近和远离原点。另一方面，对于纯类空背景，只有近似解是可行的。它们由非平凡的解析表达式与空间各向异性的明显证据，这是一致的，在空间中的特权方向的存在。这些解决方案也表现出类似的MCS-Proca的附近和远离原点。

Warped black holes in 3D general massive gravity

We study regular spacelike warped black holes in the three dimensional general massive gravity model, which contains both the gravitational Chern-Simons term and the linear combination of curvature squared terms characterizing the new massive gravity besides the Einstein-Hilbert term. The parameters of the metric are found by solving a quartic equation constrained by an inequality that imposes the absence of closed timelike curves. Explicit expressions for the central charges are suggested by exploiting the fact that these black holes are discrete quotients of spacelike warped AdS(3) and a kno…

费米点分裂产生的CPT破坏

Emergent CPT violation from the splitting of Fermi points

在费米子量子真空中，由费米子扇区的CPT破坏参数诱导的CPT破坏类Chern-Simons作用项的参数k μ依赖于系统的普适类.作为一个具体的例子，我们考虑了一个有质量的费米子准粒子的狄拉克哈密顿量，并加入了一个具有纯类空CPT破坏参数b_μ=（0，{ \bf b}）的特殊项.量子相变将两个相分离，一个具有完全带隙的费米子谱，另一个具有拓扑保护的费米子点（带隙节点）。出现的Chern-Simons "向量“k_μ=（0，{ \bf k}）现在由两部分组成。正则部分{ \bf k}^{reg}是下式的解析函数：|{ \bf b}|在整个量子相变，并可能是非零的，由于明确的CPT违反在基本水平。反常（非解析）部分，{ \bf k}^{anom}，只来自费米点，与它们的分裂成正比。在凝聚态物理中，p波通道中库珀配对的BEC-BCS交叉区域可能发生量子相变。对于基本粒子物理学，费米点的分裂可能导致中微子振荡，即使总的电磁类陈-西蒙斯项被抵消。

三维Maxwell-Chern-Simons引力的热力学：含 torsion 的宇宙解和黑洞

Maxwell Chern-Simons gravity in 3D: Thermodynamics of cosmological solutions and black holes with torsion

本文研究了三维Maxwell-Chern-Simons引力中含torsion的宇宙解和黑洞的热力学性质，提出了新的边界条件并推导了熵表达式。

QHE中的边缘孤子

Edge solitons in the QHE

对Chern-Simons拉格朗日量进行类空约化，得到一个修正的非线性薛定谔方程（jNLS），其中非线性项中粒子密度用电流代替。当相位是线性的位置，后者是一个普通的NLS与时间相关的系数，承认有趣的解决方案。非相对论性时空的共形性质解释了它们的对称性。只有通常的孤立子是一致的jNLS，但六阶势的添加将其转换成一个可积方程。

Edge solitons in the QHE

The spacelike reduction of the Chern-Simons Lagrangian yields a modified Nonlinear Schrödinger Equation (jNLS) where in the non-linearity the particle density is replaced by current. When the phase is linear in the position, this latter is an ordinary NLS with time-dependent coefficients which admits interesting solutions, whose arisal is explained by the conformal properties of non-relativistic spacetime. However, only the usual travelling soliton is consistent with the jNLS. Adding a six-order potential converts jnLS into an integrable equation.

三维Riemann-Cartan几何中的Yang-Mills定理

Yang--Mills Configurations from 3D Riemann--Cartan Geometry

最近，$SU(2)$杨-米尔斯方程的{ \it类空}部分已被确定为具有常数Riemann-Cartan曲率的三维空间的几何对象。本文利用{\it Clifford代数}-值挠和曲率两种--形式的$(3+1)$ --分解，给出了这类Ashtekar型（"逆Kaluza-Klein”）{ \it映射}的一个简洁的推导.在映射到纯轴向三维挠率的子情形中，相应的拉格朗日量由平移项和洛伦兹项{ \it Chern-Simons项}加上宇宙项组成，因此是纯拓扑的。

Black String and Gödel type Solutions of Chern-Simons Modified Gravity

Chern-Simons (CS) modified gravity with a prescribed CS scalar field does not admit rotating black hole solutions with spherical topology of the horizon. In this paper, we show that it does admit rotating {\it black hole/string} solutions with cylindrical topology of the horizon and present two intriguing physical examples of such configurations. First, we show that the Banados-Teitelboim-Zanelli (BTZ) stationary black string, that is obtained by adding on a spacelike flat dimension to the BTZ black hole metric of three-dimensional gravity, solves the field equations of CS modified gravity wit…

The Euler current and relativistic parity odd transport

For a spacetime of odd dimensions endowed with a unit vector field, we introduce a new topological current that is identically conserved and whose charge is equal to the Euler character of the even dimensional spacelike foliations. The existence of this current allows us to introduce new Chern-Simons-type terms in the effective field theories describing relativistic quantum Hall states and (2+1) dimensional superfluids. Using effective field theory, we calculate various correlation functions and identify transport coefficients. In the quantum Hall case, this current provides the natural relati…