于是对于如上形式的拉氏量,显然我们需要加上一些项来抵消,从而达到规范不变。于是可以引入协变微分(covariant derivative):Dμϕ=∂μϕ−iAμϕ,其中Aμ是规范势(gauge potential),并且为了让协变微分确实是协变的,规范势必须满足“合适”的规范变换,则由协变微分的写出的拉氏量L=Dμϕ†Dμϕ...
1.3 基本群的表示,特征簇 1.4 稳定=射影平坦=表示 2. 第二段故事:Non-Abelian Hodge对应 2.1 ...
推广至场论,需要引入规范势Gauge potential以处理局域规范对称性。拉格朗日量形式化为[公式],对于复标量场,协变微分是关键,它确保了规范不变性。非阿贝尔情况下,规范势的非交换性质导致了field strength的构造,比如Yang-Mills场强度。同位旋理论中,通过扩展到N个内禀自由度,拉格朗日量和规范势矩阵化,...
必应词典为您提供non-abelian-gauge-theory的释义,网络释义: 非阿贝尔规范理论;对易性相位场论;
非阿贝尔规范场论揭示了物理学中一个深刻的理论框架,它超越了传统的电磁理论,引入了更为丰富的数学结构。在二阶反对称的电磁场张量的背景下,我们开始探索真空无源区域中的物理现象,通过洛伦兹不变的拉格朗日量,我们得以导出经典的Maxwell方程,这些方程以4-矢量和Four-current的形式展现了物理世界的动态...
A. P. Lim, "Non-abelian gauge theory for Chern-Simons path i ntegral on R3," Journal of Knot Theory and Its Ramifications, vol. 21, article 1250039, no. 04, 2012.Lim, A.P.C.; Non-abelian gauge theory for Chern-Simons path i ntegral on R3 , Journal of Knot Theory and its ...
PhysicsS. Schraml, "Non-Abelian gauge theory on q-quantum spaces," hep-th/0208173.Schraml S., Non-Abelian gauge theory on q-quantum spaces, hep-th/0208173.S. Schraml, "Non-abelian gauge theory on q-quantum spaces," hep-th/0208173....
This gauge is particularly well adapted to discuss the problem of mixing of gauge-invariant operators, the latter being important for the discussion of the small distance behaviour in asymptotically free theories of strong interactions. Here we want to give a theoretical basis for calculations in ...
Monopole Condensation and Confining Phase of N=1 Gauge Theories Via M Theory Fivebrane 热度: generalised abelian chern-simons theories and their connection to conformal field theories 热度: screening length in 2 1-dimensional abelian chern-simons theories 热度: 相关推荐 a r X i v : h...
side the non-abelian gauge theories with a Pontryagin or θ term. The formalism with different methods have also been used to derive the mass parameter quan- tization in three-dimensional Yang-Mills theory with a Chern-Simons term 12,13 . Our approach has been more connected to the metho...