Jet evolution in Yang-Mills-Wong simulations

On Constraint Preservation in Numerical Simulations of Yang-Mills Equations

The problem of constraint preservation for discretizations of nonlinear PDEs is addressed in the example of the hyperbolic Yang–Mills equations in temporal gauge. These equations preserve a nonlinear divergence field analogous to the electric charge for Maxwell’s equations. We introduce and discuss several discretizations of these equations on finite element spaces of Lie algebra valued differe...

Black Hole Thermodynamics from Simulations of Lattice Yang-Mills Theory

Cosmological Co-evolution of Yang-Mills Fields and Perfect Fluids

John D. Barrow, Yoshida Jin, and Kei-ichi Maeda DAMTP, Centre for Mathematical Sciences, Cambridge University, Cambridge CB3 0WA, UK Department of Physics, Waseda University, 3-4-1 Okubo, Shinjuku-ku,Tokyo 169-8555, Japan 3 Waseda Institute for Astrophysics, Waseda University, Shinjuku, Tokyo 169-8555, Japan and 4 Advanced Research Institute for Science and Engineering, Waseda University, Shinj...

Supersymmetric Yang-Mills Theories

In general, Picard-Fuchs systems in N = 2 supersymmetric Yang-Mills theories are realized as a set of simultaneous partial differential equations. However, if the QCD scale parameter is used as unique independent variable instead of moduli, the resulting Picard-Fuchs systems are represented by a single ordinary differential equation (ODE) whose order coincides with the total number of independe...

Classical Yang-Mills theory

We consider classical Yang-Mills theory with point sources and derive equations of motion for the coupled particle-field system. As an example, we discuss the special case of Yang-Mills theory coupled to point particles in (1þ 1) dimensions. We formulate the initial value problem for the system and describe several example solutions. VC 2011 American Association of Physics Teachers. [DOI: 10.11...