478 citations · 5.2k across the 162 of their papers we have counts for
23 papers · 1 filter
Coulomb Resummation and Monopole Masses
K. A. Milton
The relativistic Coulomb resummation factor suggested by I.L. Solovtsov is used to reanalyze the mass limits obtained for magnetic monopoles which might have been produced at the F…
An analytic method of describing -related quantities in QCD
K. A. Milton, I. L. Solovtsov, O. P. Solovtsova
A model based on the analytic approach to QCD, involving a summation of threshold singularities and taking into account the nonperturbative character of the light quark masses, is…
Dark Energy as Evidence for Extra Dimensions
Kimball A. Milton
It is argued that fluctuations of quantum fields in four-dimensional space do not give rise to dark energy, but are rather a negligible contribution to dark matter. By (relativisti…
Constraints on extra dimensions from cosmological and terrestrial measurements
Kimball A. Milton, Ronald Kantowski, Chung Kao +1
If quantum fields exist in extra compact dimensions, they will give rise to a quantum vacuum or Casimir energy. That vacuum energy will manifest itself as a cosmological constant.…
The Adler Function for Light Quarks in Analytic Perturbation Theory
K. A. Milton, I. L. Solovtsov, O. P. Solovtsova
The method of analytic perturbation theory, which avoids the problem of ghost-pole type singularities and gives a self-consistent description of both spacelike and timelike regions…
Relativistic Coulomb Resummation in QCD
Kimball A. Milton, Igor L. Solovtsov
A relativistic Coulomb-like resummation factor in QCD is suggested, based on the solution of the quasipotential equation.
Eikonal Scattering of Monopoles and Dyons in Dual QED
Leonard Gamberg, Kimball A. Milton
The quantum field theory of electron-point magnetic monopole interactions and dyon-dyon interactions, based on the string-dependent ``nonlocal'' action of Dirac and Schwinger is de…
Renormalization Scheme and Higher Loop Stability in Hadronic Decay within Analytic Perturbation Theory
K. A. Milton, I. L. Solovtsov, O. P. Solovtsova +1
We apply an analytic description to the inclusive decay of the lepton. We argue that this method gives not only a self-consistent description of the process both in the timelik…
Dual Quantum Electrodynamics: Dyon-Dyon and Charge-Monopole Scattering in a High-Energy Approximation
Leonard Gamberg, Kimball A. Milton
We develop the quantum field theory of electron-point magnetic monopole interactions and more generally, dyon-dyon interactions, based on the original string-dependent ``nonlocal''…
Direct and Indirect Searches for Low-Mass Magnetic Monopoles
Leonard Gamberg, George R. Kalbfleisch, Kimball A. Milton
Recently, there has been renewed interest in the search for low-mass magnetic monopoles. At the University of Oklahoma we are performing an experiment (Fermilab E882) using materia…
The Bjorken Sum Rule in the Analytic Approach to Perturbative QCD
K. A. Milton, I. L. Solovtsov, O. P. Solovtsova
Results of applying analytic perturbation theory (APT) to the Bjorken sum rule are presented. We study the third-order QCD correction within the analytic approach and investigate i…
Analytic Perturbative Approach to QCD
K. A. Milton, I. L. Solovtsov, O. P. Solovtsova
A technique called analytic perturbation theory, which respects the required analytic properties, consistent with causality, is applied to the definition of the running coupling in…
Difficulties with Photonic Searches for Magnetic Monopoles
Leonard Gamberg, George R. Kalbfleisch, Kimball A. Milton
Recently, there have been proposals that the classic Euler-Heisenberg Lagrangian together with duality could be employed to set limits on magnetic monopoles having masses less than…
Analytic Perturbation Theory and Renormalization Scheme Dependence in Tau Decay
K. A. Milton, I. L. Solovtsov, V. I. Yasnov
We apply analytic perturbation theory in next-to-next-to-leading order to inclusive semileptonic -decay and study the renormalization scheme dependence. We argue that the renorm…
Analytic Perturbation Theory: A New Approach to the Analytic Continuation of the Strong Coupling Constant into the Timelike Region
Kimball A. Milton, Olga P. Solovtsova
The renormalization group applied to perturbation theory is ordinarily used to define the running coupling constant in the spacelike region. However, to describe processes with tim…
Analytic Perturbation Theory and Inclusive Tau Decay
K. A. Milton, I. L. Solovtsov, O. P. Solovtsova
We apply analytic perturbation theory to the inclusive decay of a lepton into hadrons. It is shown that the resulting analyticity of the coupling constant strongly influences t…
Analytic perturbation theory in QCD and Schwinger's connection between the beta-function and the spectral density
K. A. Milton, I. L. Solovtsov
We argue that a technique called analytic perturbation theory leads to a well-defined method for analytically continuing the running coupling constant from the spacelike to the tim…
Julian Schwinger: Source Theory and the UCLA Years--- From Magnetic Charge to the Casimir Effect
Kimball A. Milton
Julian Schwinger began the construction of Source Theory in 1966 in response to the then apparent failure of quantum field theory to describe strong interactions, the physical remo…
Absence of Species Doubling in Finite-Element Quantum Electrodynamics
Kimball A. Milton
In this letter it will be demonstrated explicitly that the finite-element formulation of quantum electrodynamics is free from fermion doubling. We do this by (1) examining the latt…
Finite-Element Time Evolution Operator for the Anharmonic Oscillator
Kimball A. Milton
The finite-element approach to lattice field theory is both highly accurate (relative errors , where is the number of lattice points) and exactly unitary (in the sen…
Finite-element quantum electrodynamics. II. Lattice propagators, current commutators, and axial-vector anomalies
Dean Miller, Kimball A. Milton, Stephan Siegemund-Broka
We apply the finite-element lattice equations of motion for quantum electrodynamics given in the first paper in this series to examine anomalies in the current operators. By taking…
Finite-Element Quantum Electrodynamics
Dean Miller, Kimball A. Milton, Stephan Siegemund-Broka
We apply the finite-element lattice equations of motion for quantum electrodynamics to an examination of anomalies in the current operators. By taking explicit lattice divergences…
Discrete Time Quantum Mechanics
Carl M. Bender, Lawrence R. Mead, Kimball A. Milton
This paper summarizes a research program that has been underway for a decade. The objective is to find a fast and accurate scheme for solving quantum problems which does not involv…