112 citations · 425 across the 33 of their papers we have counts for
6 papers · 1 filter
On the Numerical Evaluation of a Class of Oscillatory Integrals in Worldline Variational Calculations
R. Rosenfelder
Filon-Simpson quadrature rules are derived for integrals of the type \int_a^b dx f(x) sin(xy)/(xy) and \int_a^b dx f(x) 4 sin^2(xy/2)/(xy)^2 which are needed in applications of the…
Vacuum Polarization Effects in the Worldline Variational Approach to Quantum Field Theory
R. Rosenfelder
The worldline variational approach is extended beyond the quenched approximation, i.e. to include virtual pair production of heavy particles. This is achieved either by an expansio…
Variational Worldline Approximation for the Relativistic Two-Body Bound State in a Scalar Model
K. Barro-Bergflödt, R. Rosenfelder, M. Stingl
We use the worldline representation of field theory together with a variational approximation to determine the lowest bound state in the scalar Wick-Cutkosky model where two equal-…
Worldline Variational Approximation: A New Approach to the Relativistic Binding Problem
K. Barro-Bergflödt, R. Rosenfelder, M. Stingl
We determine the lowest bound-state pole of the density-density correlator in the scalar Wick-Cutkosky model where two equal-mass constituents interact via the exchange of mesons.…
Comment on the paper: ``Feynman-Schwinger representation approach to nonperturbative physics'' by C. Savkli et al. [Phys. Rev. C 60, 055210 (1999), hep-ph/9906211]
R. Rosenfelder, A. W. Schreiber
We point out that the scalar Wick-Cutkosky model (with interaction) used in this study has been known for a long time to be unstable. However, the numerical results present…
Proton Polarization Shifts in Electronic and Muonic Hydrogen
R. Rosenfelder
The contribution of virtual excitations to the energy levels of electronic and muonic hydrogen is investigated combining a model-independent approach for the main part with quark m…