6 citations · 13 across the 17 of their papers we have counts for
9 papers · 1 filter
Lorentz Covariant Lattice Gauge Theory
Timothy D. Andersen
Lattice gauge theory's discretization of spacetime suffers from a drawback in that Lorentz covariance is lost because the axes of the lattice create preferred directions in spaceti…
Exact solution to the 1d one component Coulomb gas at fixed energy
Timothy D. Andersen
The one dimensional one component plasma has applications to one dimensional particle systems with logarithmic interactions such as charges in a single channel wire or vortex filam…
Exact solutions for the 2d one component plasma
Timothy D. Andersen
The 2d one component gas of pointlike charges in a uniform neutralizing background interacting with a logarithmic potential is a common model for plasmas. In its classical equilibr…
Runaway expansion in confined quasi-2D plasmas and vortex fluids
Timothy D. Andersen
The confined, quasi-two-dimensional guiding center plasma and a system of interacting line vortices in an ideal fluid are examples of Hamiltonian systems with infinite interaction…
SO(4,1) Yang-Mills theory of quantum gravity
Timothy D. Andersen
The search for a quantum theory of gravity has become one of the most well-known problems in theoretical physics. Problems quantizing general relativity because it is not renormali…
Spin gravity: a non-Abelian gauge theory on a flat spacetime
T. D. Andersen
In this paper, I show that a Yang-Mills force with a U(1)$\timesSU(2)\times$SU(2) group symmetry predicts solar system observations of gravitational behavior as well as binary puls…
Negative specific heat for quasi-2D vortex structures in electron plasmas: an explicit, closed-form derivation
T. D. Andersen, C. C. Lim
Negative specific heat is a dramatic phenomenon where processes decrease in temperature when adding energy. It has been observed in gravo-thermal collapse of globular clusters. We…
Explicit mean-field radius for nearly parallel vortex filaments in statistical equilibrium
Timothy D. Andersen, Chjan C. Lim
Geophysical research has focused on flows, such as ocean currents, as two dimensional. Two dimensional point or blob vortex models have the advantage of having a Hamiltonian, where…
Trapped slender vortex filaments in statistical equilibrium
Timothy D. Andersen, Chjan C. Lim
The statistical mechanics of nearly parallel vortex filaments confined in the unbounded plane by angular momentum, first studied by Lions and Majda (2000), is investigated using a…