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The high-energy forward-scattering amplitude in λ φ 4 theory is investigated by means of the Bethe-Salpeter equation. The class of irreducible diagrams which have dilatational symmetry at high energies is considered as kernels for the Bethe-Salpeter equation. For these kernels, the equation is...
The usual field equations of general relativity are modified to provide for the existence of electrons. The resulting equations, viz., R μ ν - 1 4 R g μ ν = - k ( T μ ν - 1 4 T g μ ν ) , are considered to be microscopically true. The macroscopic averages of the equations are the usual...
The bootstrap theory of octet enhancement is described in general, and applied in particular to strong and electromagnetic mass splittings within the J P = 1 2 + baryon octet and J = 3 2 + decuplet. The results are in good agreement with experiment.
Octal symmetry ( R 8 = group of rotations in eight dimensions ) is applied to the strong interactions. If the existence of an octet m and a singlet λ of spinless mesons is assumed, a bootstrap mechanism allows the existence of 36 vector mesons with the coupling constants given by the R 9 group....
The restrictions of self-consistency are investigated for two sets of interacting particles—vector and scalar (or pseudoscalar)—with unequal masses. Self-consistency is studied within a field-theoretic framework and within a bootstrap framework. It is assumed that solutions exist when the...
Cross sections for the production of excited states by neutron inelastic scattering were measured as a function of bombarding energy from 0 to 300 keV above threshold for the first two excited states of Fe 56 , the first two excited states of Cu 63 , the first excited state of Zr 90 , the first...
The leading contributions to the π + - π 0 and K + - K 0 mass differences are calculated. The contributions of pseudoscalar-meson and vector-meson intermediate states are considered, and the Feynman integrations are performed assuming very general momentum dependence at the vertices. Using form...
A systematic procedure is described to derive the moment generating function for orthogonal, unitary, and symplectic ensembles. Expressions are given for the distribution of the expectation value. It is shown that for large dimensions the distribution is Gaussian.
The effects of including nearby inelastic channels are examined on three separate examples of p -wave resonances: (a) a three-channel ( π π , π ω , K K ¯ ) system is treated in a calculation of the ρ (760 MeV) resonance, (b) a two-channel ( π K , η K ) system is considered for the K * (...
Given the Hamiltonian density of a system of interacting fields, it is possible to specify a second system which differs from the first by having one more or one less field in the Hamiltonian density and which has the interaction terms of the Hamiltonian density so modified that the physical...
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