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We study two continuum methods of regulating the formal strong-coupling expansion of the Green's functions, obtained by expanding the path integral in powers of the kinetic energy (inverse free propagator). Our continuum regulations amount to introducing either a hard ( θ function) or soft...
Using lattice techniques we examine the strong-coupling expansion for the ground-state energy of a g | x | α ( α > 0 ) potential in quantum mechanics. We are particularly interested in studying the effectiveness of various Padé-type methods for extrapolating the lattice series back to the...
The transformation properties of the quantum coordinate in (2 + 1)-or (3 + 1)-dimensional space-times under the Poincaré group are investigated in quantum field theory with extended objects. The Wigner rotation is induced by the transformation of the quantum coordinate under the Lorentz boost.
A bilinear integral equation for the cylinder is derived within the meson sector of the theory of dual topological unitarization. The equation is more general than conventional linear cylinder equations since it includes regions of phase space in which produced particles overlap in rapidity. The...
It is shown from spectral representations involving the energy-momentum tensor that in general a field theory quantized on the light cone (as opposed to the case in which an equal-time-quantized theory is merely rewritten in terms of light-cone coordinates) does not possess a Lorentz-invariant...
We show that to order α s 2 in the quantum-chromodynamic coupling constant the effect of massive quarks on the vacuum polarization of chiral currents can be expressed in terms of the virtual forward photon-gluon scattering amplitude induced by a massless quark or, equivalently, in terms of the...
The quarks and leptons are assigned to the adjoint representation of the exceptional group E 8 using decompositions under the subgroups SU(9) and SU ( 3 ) 4 . Generators are constructed as linear combinations of bilinear quark and lepton fields. Closure of the algebra is used to determine the...
By allowing active charge arcs to be oriented independently of the quantum triangles on which they end, the topological theory of electromagnetism is extended to encompass electroweak interactions. The additional elementary particles may be identified as Z 0 , W ± as well as neutrinos.
A class of solutions of the Einstein-Cartan theory for the static spherical dust distribution is obtained. The equilibrium of the distribution is found to be due to the balance of the gravitational attraction and the repulsion due to the spin and torsion effect.
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