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The renormalization problem is solved, qualitatively, for the λ 0 φ 6 interaction of a scalar field φ ( x ) in two space and one time dimensions. The theory is found to be finite after mass renormalization, although perturbation theory predicts there should be φ 4 and φ 6 counter-terms also....
The Heisenberg equations of the φ 4 model of quantum field theory in one space dimension are analyzed by a modified perturbation method. The modification focuses on terms with vanishing and small energy denominators. These terms give rise to operator-valued frequency (mass) renormalization and...
We use the infinite-momentum limit and single-particle saturation to investigate consequences for baryon matrix elements of equal-time commutators of the generators of scale and conformal transformations with currents and their divergences. We show that the root-mean-square tensor mass radii are...
The Efimov-Fradkin method in nonlinear field theories, in the context of a simple rational function Lagrangian, is analyzed in the light of the Carleman uniqueness theorem for asymptotic expansion. It is proven that the Carleman theorem allows the elimination of the ambiguities related to the...
Using the Klein-Gordon equation and relativistic invariance, we calculate the commutator and anticommutator for free tachyon fields. We exhibit the form of the spectral representation of the vacuum expectation value of the commutator for interacting tachyon fields.
Feynman rules for the massless Yang-Mills field interacting with nucleons are derived using the well-known method of canonical quantization. In the radiation gauge for the b → μ field, i.e., ∂ i b → i = 0 , the interaction Hamiltonian is an infinite series of noncovariant terms containing...
We use the technique of light-cone commutators to illuminate the physical picture of deep-inelastic scattering given by the parton model. We find that final-state interactions can be consistent with scaling, and occur in the deep-inelastic domain when vector gluons are present. We show how a...
A class of inequalities for the pion-pion s and p waves has been discussed in a series of recent papers. The present work attempts to provide a systematic method for writing such inequalities. An infinite number of new inequalities for the pion-pion s and p waves are also derived.
In answer to Fischbach, Nieto, and Scott, we amplify our argument for the equivalence of the Klein-Gordon and Kemmer formulations of K l 3 decay.
Using the ideas of Higgs and Weinberg about spontaneous symmetry breakdown, we construct possibly renormalizable models of low-spin hadrons, including massive non-Abelian vector mesons. An intriguing new view of hadron symmetries and symmetry breaking emerges.
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