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We propose a two-step approach to one-dimensional anharmonic oscillators. A generalized coherent-state ansatz is introduced for the first step. A theorem of Wick's ordering and a Bogoliubov transformation are used to simplify the derivation. This is shown to be equivalent to the Hartree...
An analytic expression is given for an integral involved in the small- r behavior of the S -wave solution of a Salpeter-type equation studied in a recent article. The low- and high-energy limits of the integral are derived.
The quantum fluctuations about a uniform chromoelectric field confined to a cylindrical region are computed. The effective Lagrangian determined from this procedure yields the following interesting results. (1) The chromoelectric flux contained in this region must be less than a calculable...
An expression is suggested for the topological charge of lattice SU ( N ) gauge theories. The distribution of this quantity is calculated in the SU(2) theory by means of the Monte Carlo method. It is found that the topological susceptibility is finite on sufficiently asymmetric lattices.
We introduce what we call an axial field-strength gauge as an alternative to the conventional Coulomb gauge in the Yang-Mills field theory. This new gauge does not share the pathologies that were shown to exist in the Coulomb gauge by Gribov and Mandelstam. We apply this new gauge to the...
Baryon-number generation via SU(5) Higgs-boson decay in the early Universe is investigated at finite temperatures. It is shown that the imaginary part of the Higgs-boson decay amplitude is increased at temperatures near the Higgs-boson mass, which causes a slight enhancement of the final...
The representation of the Wilson lattice fermion propagator as a sum over classical particle trajectories is discussed. A simple generalization of this path sum leads to an extended set of fermion theories characterized by one (or more) additional parameters. Such theories are nonlocal when...
After deriving a general expression for the drag force on an anharmonic oscillator with quartic potential moving through random electromagnetic radiation, we specialize for the thermal and for the zero-point field (ZPF) radiation cases. It is explicitly shown that, as should be physically...
In the preceding paper, the laws of motion were established for classical particles with spin which are monopole-dipole singularities of Yang-Mills-Higgs fields. In this paper, a systematic approximation scheme is developed for solving the coupled nonlinear field equations in any order and for...
SU(2) lattice gauge theories in two or more space dimensions with any value of the bare coupling are shown rigorously to possess a nonconfining phase at sufficiently high temperature.
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