R^4上的非阿贝尔规范理论中的梯度流由一个局域扩散方程定义，该方程以规范协变的方式将规范场演化为流动时间的函数。与朗之万方程的情况类似，含时场的关联函数也可以在微扰论中展开，费曼规则是R^4 x [0，oo）上可重整化的场论的规则。对于任何物质的多重态和所有的循环顺序，我们表明，关联函数是有限的，即不需要额外的重整化，一旦在四维的理论是重整化在通常的方式。因此，该流将规范场映射为一个单参数光滑重整化场族。
英文摘要：
The gradient flow in non-abelian gauge theories on R^4 is defined by a local diffusion equation that evolves the gauge field as a function of the flow time in a gauge-covariant manner. Similarly to the case of the Langevin equation, the correlation functions of the time-dependent field can be expanded in perturbation theory, the Feynman rules being those of a renormalizable field theory on R^4 x [0,oo). For any matter multiplet and to all loop orders, we show that the correlation functions are finite, i.e. do not require additional renormalization, once the theory in four dimensions is renormalized in the usual way. The flow thus maps the gauge field to a one-parameter family of smooth renormalized fields.
We perform perturbative computations in a lattice gauge theory with a conformal measure that is quadratic in a non-compact abelian gauge field and is nonlocal, as inspired by the induced gauge action in massless QED$_3$. In a previous work, we showed that coupling fermion sources to the gauge model led to nontrivial conformal data in the correlation functions of fermion bilinears that are functions of charge $q$ of the fermion. In this paper, we compute such gauge invariant fermionic observables to order $q^2$ in lattice perturbation theory with the same conformal measure. We reproduce the exp…
Perturbative approach to the infrared gluon propagator in the maximal Abelian gauge
ICTP South American Institute for Fundamental Research（ICTP南美基础研究所）；Instituto de Física Teórica, UNESP - Univ. Estadual Paulista（UNESP圣保罗州立大学理论物理研究所）；EEEFM Agenor de Souza Lé（EEEFM阿格诺尔·德索萨·莱学院）；Instituto de Física, Universidade Federal Fluminense（弗鲁米嫩塞联邦大学物理研究所）；Universidade do Estado do Rio de Janeiro, Instituto de Física –Departamento de Física Teórica（里约热内卢州立大学物理系理论物理研究所）
A non-perturbative study of matter field propagators in Euclidean Yang-Mills theory in linear covariant, Curci-Ferrari and maximal Abelian gauges
本文在精化Gribov-Zwanziger理论的框架内研究了物质场的传播子，该理论考虑了Yang-Mills理论规范固定量子化过程中Gribov副本的影响.与精化Gribov-Zwanziger作用量的纯胶子扇区完全类似，在物质扇区中添加了Faddeev-Popov算子逆的非定域长程项。利用最近在[Capri et al 2016]中实现的Gribov-Zwanziger框架的BRST不变公式，在线性协变，Curci-Ferrari和最大Abel规范中明确计算了规范群的伴随和基本表示中标量场和夸克场的传播子。只要晶格数据可用，我们的结果表现出良好的定性协议。
The design of quantum many body systems, which have to fulfill an extensive number of constraints, appears as a formidable challenge within the field of quantum simulation. Lattice gauge theories are a particular important class of quantum systems with an extensive number of local constraints and play a central role in high energy physics, condensed matter and quantum information. Whereas recent experimental progress points towards the feasibility of large-scale quantum simulation of Abelian gauge theories, the quantum simulation of non-Abelian gauge theories appears still elusive. In this pap…
Non-abelian uni-vector deformations in gauged supergravities and non-abelian Einstein-Maxwell theories
Institute for Information Transmission Problems（信息传输问题研究所）；Moscow Institute of Physics and Technology（莫斯科物理技术学院）；Institute of Theoretical and Mathematical Physics, Moscow State University（莫斯科国立大学理论与数学物理研究所）；Lomonosov Moscow State University（罗蒙诺索夫莫斯科国立大学）
We study the mirror symmetry of abelian 3d $\mathcal{N}=2$ theories with mixed Chern-Simons levels by turning them into $\mathcal{T}_{A,N}$ theories that are defined as $N$ copies of $U(1)-[1]$ theory coupled together by mixed Chern-Simons levels $k_{ij}$. We find that $\mathcal{T}_{A,N}$ theories have many mirror dual theories with different mixed CS levels and FI parameters. As an example, we analyze $U(1)_k+ N_C \,\mathbf{C} + N_{AC} \, \mathbf{AC}$ theories by transforming these theories into certain $\mathcal{T}_{A,N}$ theories and find many equivalent effective Chern-Simons levels. Final…
