WhenMhas vanishing pseudohermitian Ricci curvature the pullbackπ*Dof the (CR invariant) Tanaka connectionDof(E,h)is a Yang–Mills field onC(M). We derive the second variation formula{d2PYM(Dt)∕dt2}t=0=∫M⟨SbD(φ),φ⟩θ∧(dθ)n,Dt=D+At[provided thatDis a pseudo Yang–Mills...
unified field theoriesYang-Mills theory/ noncommutative geometrydiscrete symmetriesgauge theoriesLie algebraYang-Mills fieldsWe consider an extension of the formalism of gauge theories where the connection is no longer described by a Lie algebra valued one-form on space-time, but incorporates both the ...
必应词典为您提供yang-millsfield的释义,网络释义: 杨密场;米场;杨-米尔斯场;
gauge theory (redirected fromYang-Mills field) Encyclopedia Related to Yang-Mills field:Yang-Mills action,Yang-mills equations gauge theory n.Physics Any of various theories based upon a gauge symmetry. Current fundamental theories, such as the standard model of particle physics, are gauge theories...
Yang–Mills fields are good mathematical models for all fundamental interactions except gravity. Electromagnetism is unified with the weak interactions in the Weinberg–Salam theory as a Yang–Mills field with group U(1)xSU(2). The fundamental objects of nature—spinor or scalar fields—appear as...
D_\mu=\partial_\mu +ieA_\mu \tag{1.10}注意到,此时我们引入了一个新的矢量场A_\mu,我们称其为规范场(gauge field),其变换法则可以由式(1.6)导出: A_\mu \rightarrow A_\mu-\frac{1}{e}\partial_\mu \alpha(x) \tag{1.11}作为一个矢量场,其必然在拉氏量中存在自由场部分,即它的动能项和质...
A geometrization of the Yang-Mills field, by which an SU(2) gauge theory becomes equivalent to a 3-space geometry - or optical system - is examined. In a first step, ambient space remains Euclidean and current problems on flat space can be looked at from a new point of view. The Wu...
It is shown that if we apply the Ansatz recently proposed by Oh and Teh to find a static Yang-Mills field in a plane symmetric universe, we get simply the vacuum Taub solution or the maxwellian Patnaik solution. In addition, we have shown that there are no plane wave solutions....
Zee,Quantum Field Theory in a Nutshell 对Yang-Mills理论的量子化 我们将Yang-Mills拉格朗日量记作: \mathcal{L}=\mathcal{L}_0+\mathcal{L}_1 ,其中 \[\mathcal{L}_0=-\frac{1}{4}(\partial_\mu A_\nu ^a-\partial_\nu A_\mu ^a)^2\] \[\mathcal{L}_1=-\frac{1}{2}g(\par...
Using the framework of quantum Riemannian geometry, we show that gravity on the product of spacetime and a fuzzy sphere is equivalent under minimal assumptions to gravity on spacetime, an $su_2$-valued Yang-Mills field $A_{\mu i}$ and real-symmetric-matrix valued Liouville-sigma model field...