1,180 research outputs found
Vacuum Wave Functional of Pure Yang-Mills Theory and Dimensional Reduction
Working in a Hamiltonian formulation with gauge and also in a path
integral formulation, we show that the vacuum wave functional of
four-dimensional pure Yang-Mills theory has the form of the exponential of a
{\it three}-dimensional Yang-Mills action. This result implies that vacuum
expectation values can be calculated in Yang-Mills theory but one dimension
lower. Our analysis reveals that this dimensional reduction results from a
stochastic nature of the theory.Comment: 11 pages, LaTeX fil
The Fate of a Five-Dimensional Rotating Black Hole via Hawking Radiation
We study the evolution of a five-dimensional rotating black hole emitting
scalar field radiation via the Hawking process for arbitrary initial values of
the two rotation parameters and . It is found that any such black hole
whose initial rotation parameters are both nonzero evolves toward an asymptotic
state
, where this constant is independent
of the initial values of and .Comment: 6 pages, 6 figure
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