Gauge fixing - Wikipedia
In the physics of gauge theories, gauge fixing (also called choosing a gauge) denotes a mathematical procedure for coping with redundant degrees of freedom in field variables. By definition, a gauge theory represents each physically distinct configuration of the system as an equivalence class of detailed local field configurations.
理论介绍——什么是规范固定 | COMSOL 博客 - COMSOL 中国
亥姆霍兹定理是分析麦克斯韦方程组的起点，也称为矢量计算的基本定理。 它指出，任何矢量场 都可以解耦为无旋度部分和无散度部分。 通过了解所有 和 ，以及对于截断的域和适当的边界条件，可以唯一确定矢量场。 当然，对 进行解析解可能比较困难，甚至不可能完成，而且数值计算也不容易。 麦克斯韦方程 的微分形式可以表示为： 其中， 和 分别是电场强度和磁场强度； 和 分别是电位移场和磁通密度; 和 分别是电荷密度和传导电流密度。 此外， 材料定律确定了 到 和 …
规范固定 - 百度百科
规范固定（gauge fixing）是指规范理论中消去非物理自由度的条件。某一时刻给定一组初始条件，运动方程不足以完全确定规范场，两个彼此可通过在t≤t0时为恒等变换的规范变换而得到的解，满足相同的初始条件，但t>t0时不同。
[2304.00756] Gauge fixing and physical symmetries - arXiv.org
2023年4月3日 · We analyze how gauge fixing, which is required by any practical continuum approach to gauge systems, can interfere with the physical symmetries of such systems. In principle, the gauge fixing procedure, which deals with the (unphysical) gauge symmetry, should not interfere with the other (physical) symmetries.
What Is Gauge Fixing? A Theoretical Introduction - COMSOL
2020年3月24日 · Gauge fixing is one of the most intriguing topics in computational electromagnetics. In this blog post, we will present an introduction and background to gauge fixing and then proceed to discuss when and how to use it in the COMSOL Multiphysics® software.
A question on gauge fixing - Physics Stack Exchange
In general, it is not possible to fix a gauge that choose only one representant from every orbit. This is known as the Gribov problem. "does "fixing a gauge" simply amount to specifying some constraint on the choice of Aμ A μ such that it "picks out" a single four-potential Aμ A μ from this equivalence class?" Generally speaking, not quite.
Complete Gauge Fixing - cphysics.org
2024年11月11日 · Articles 51376 and 89053 describe ways to construct models involving quantum gauge fields when space or spacetime is treated as a lattice. In those models, the gauge field is described as a collection of G-valued link variables, one for each directed link in the lattice, where G is the gauged group. The collection of link variables used in ...
Gauge Fixing - SpringerLink
2019年8月1日 · In gauge theory, gauge fixing is a necessary procedure as one needs to choose the proper gauge. This will affect the subsequent derivation of the theories. This will involve the two basic gauge fields, the vector potential and the scalar potential and the deployment of them at the proper places.
Numerical stability for gauge theories is discussed and it is shown that all gauge freedom must be fixed in order for the theory to be well-posed. Electrodynamics is used to provide examples of the methods outlined for general gauge theories. General Relativity is discussed in the context of canonical systems with gauge freedom.
[2007.06641] Gauge Fixing and Constrained Dynamics - arXiv.org
2020年7月13日 · We discuss stability in evolution of gauge theories and show that fixing all gauge freedom is sufficient to ensure well-posedness for a large class of gauge theories. Electrodynamics provides examples of the methods outlined for general gauge theories.
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