[en] A closed form for the reduced Green's function of massless fermions in the interior of a spherical bag is obtained. In terms of this Green's function, the corresponding zero-point or Casimir energy is computed. It is proposed that a resulting quadratic divergence can be absorbed by renormalizing a suitable parameter in the bag model (that is, absorbed by a contact term). The residual Casimir stress is attractive, but smaller than the repulsive Casimir stress of gluons in the model. The result for the total zero-point energy is in substantial disagreement with bag model phenomenological values

[en] Recent progress in applying the finite-element operator lattice technique to quantum electrodynamics is reported. Nonperturbative results for chiral anomalies in 2 and 4 dimensions will be given, which exhibit an interesting dependence on the ratio of lattice constants, and demonstrate chiral symmetry breaking and the absence of species doubling. The lattice open-quotes Hamiltonianclose quotes defined from the unitary time-evolution operator will be shown to provide highly accurate spectral information. And preliminary results for the anomalous magnetic moment of the electron will also be presented

No abstract available

[en] In the final few years of his life, Julian Schwinger proposed that the dynamical Casimir effect might provide the driving force behind the puzzling phenomenon of sonoluminescence. Motivated by that exciting suggestion, I have computed the static Casimir energy of a spherical cavity in an otherwise uniform material with dielectric constant ε and permeability μ. As expected the result is divergent: yet a plausible finite answer is extracted, in the leading uniform asymptotic approximation. That result gives far too small an energy to account for the large burst of photons seen in sonoluminescence. If the divergent result is retained (which is different from that guessed by Schwinger), it is of the wrong sign to drive the effect. Dispersion does not resolve this contradiction. However, dynamical effects are not yet included. (orig.)

[en] The zero-point (Casimir) energy of free vector (gluon) fields confined to a spherical cavity (bag) is computed. With a suitable renormalization the result for eight gluons is E = + 0.51/a. This result is substantially larger than that for a spherical shell (where both interior and exterior modes are present), and so affects Johnson's model of the QCD vacuum. It is also smaller than, and of opposite sign to, the value used in bag model phenomenology, so it will have important implications there. 1 figure

No abstract available

[en] The process K → γlν is calculated using the electroweak axial-vector anomaly with the quark color factor of 3, together with standard current-algebra techniques. The result, which generalizes that of Das, Mathur, and Okubo for the axial-vector part, is in good agreement with experiment

[en] The book is a collection of papers presented at a three-day Workshop on Non-Perturbative QCD held in the spring of 1983 at Oklahoma State University in Stillwater and organized by Kimball Milton and Mark Samuel. Many topics relevant to this subject are covered, though there are some important and potentially serious omissions. These include Borel summability and renormalons (i.e., perturbation theory as an asymptotic series) and the role of the topological structure of the theory (though there is a paper discussing its signature in lattice gauge theory). For those interested in finding out what the current state of some attempts to deal with QCD non-perturbative are, this book is a valuable source. Most of the papers are well written and clear, though addressed to a reasonably knowledgeable expert

[en] The finite-element method provides a naturally consistent prescription for putting operator field theory on a space-time lattice. When Abelian gauge invariance is implemented, a non-local interaction is induced which breaks chiral symmetry. The chiral symmetry breaking mass is computed in the Schwinger model for M space lattice sites; the error falls off as M/sup -2/. The implementation of non-Abelian gauge invariance is discussed

[en] The amplitude for eta → 3π is calculated in terms of the amplitude for eta' → etaππ using the strong anomaly and the partial conservation of the U(1) current. The isospin violation, an m/sub u/ - m/sub d//m/sub u/ + m/sub d/ effect, is large. The eta' decay constant is estimated from psi → eta'γ. The result for eta → 3π is in good agreement with experiment