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The classification schemes of Levy and Ernst for stationary axisymmetric gravitational fields are briefly discussed and the solution of Gürses and Güven is shown to be a special case of a known class of solutions.
We evaluate analytically three more graphs contributing to the g factor of the electron in sixth order. Updated estimates for the value of ( g - 2 ) are given.
Semiclassical and inverse scattering methods, previously restricted to two-dimensional models, are extended to four-dimensional scalar field theories. The necessary trace identities are derived, mode sums are carried out, and renormalization is explicitly demonstrated. The four-dimensional O ( N...
Using semiclassical methods, we study the bound-state spectrum in the chiral-symmetric σ model, with SU ( N ) fermions and both with and without pions, in one space plus one time dimension. In the σ -only case, we find a rich spectrum composed of n ( ≤ N )-particle bound states which can be...
We give a simple prescription for explicitly constructing a class of planar diagrams and we discuss their physical relevance. All diagrams are generated from what we call the maximal ones, which are constructed iteratively. The prescription is proved in detail and examples are given.
We exploit the manifestly Lorentz-covariant natures of momentum and Pauli-Lubanski spin to give prescriptions for the construction of translationally invariant relativistic c.m. observables. We show that commutators of relativistic c.m. spins coincide with those of the corresponding...
A relativistic scalar field is quantized in a one-dimensional "box" comprising two broad electrostatic potential wells. As the potential difference increases, the phenomena found long ago by Schiff, Snyder, and Weinberg in such a model occur: merging of mode frequencies and disappearance of the...
The nucleon propagator in the "nested-bubbles" approximation is analyzed. The approximation is built from the minimal set of diagrams which is needed to maintain the unitarity condition under the two-pion production threshold in the two-nucleon Bethe-Salpeter equation. Recursive formulas for...
In this paper we study the generation of extended structures in field theory through the agency of dynamical symmetry breaking. We generalize Gorkov's derivation of the Ginzburg-Landau theory of superconductivity to relativistic systems by working entirely at the level of the quantum-mechanical...
As a criterion between quantum mechanics and local hidden-variable theories, the so-called Einstein-Podolsky-Rosen paradox is mainly tested in the form of the statistical correlation between polarizations of photons issuing from a cascade transition. It has been stated more than once that an...
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