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26 de jun. de 2024 · Yang–Mills theory is a gauge theory on a given 4-dimensional (pseudo-)Riemannian manifold X X whose field is the Yang–Mills field – a cocycle ∇ ∈ H (X, B ¯ U (n)) \nabla \in \mathbf{H}(X,\bar \mathbf{B}U(n)) in differential nonabelian cohomology represented by a vector bundle with connection – and whose action functional is
Hace 6 días · D=2 Yang-Mills theory (D=2 YM theory) studies the Yang-Mills equations over a base manifold with dimension D = 2 D=2. This special case allows the definition of the Yang-Mills measure.
Hace 5 días · Advancements in Quantum Field Theory Yang-Mills Theory in String Theory The role of Yang-Mills Theory in string theory elucidates the connections between gauge theories and the underlying fabric of spacetime at the quantum level. Incorporating Yang-Mills principles into the
12 de jun. de 2024 · theorem: if a Yang-Mills connection with curvature F on the sphere S4 satisfies F ± 6= 0, then the L ∞ norm of F ± is bounded below by an explicit constant (see also Shen [22]).
20 de jun. de 2024 · Early-Times Yang-Mills Dynamics and the Characterization of Strongly Interacting Matter with Statistical Learning. Matthew Heffernan, Charles Gale, Sangyong Jeon, and Jean-François Paquet. Phys. Rev. Lett. 132, 252301 – Published 20 June 2024. More. PDF HTML Export Citation. Abstract.
Hace 5 días · TOPICS. Algebra Applied Mathematics Calculus and Analysis Discrete Mathematics Foundations of Mathematics Geometry History and Terminology Number Theory Probability and Statistics Recreational Mathematics Topology Alphabetical Index New in MathWorld
26 de jun. de 2024 · For the quantized Yang-Mills 3`1D problem we introduce the Wilson loop, prove an extension of Elitzur’s theorem and shown quark containment for sufficiently small values of the bare coupling constant.