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In Poincare-Wigner-Dirac theory of relativistic interactions, boosts are dynamical. This means that - just like time translations - boost transformations have non-trivial effect on internal variables of interacting systems. This is different from space translations and rotations, whose actions are always universal, trivial and interaction-independent. Applying this theory to unstable particles viewed from a moving reference frame, we prove that the decay probability cannot be invariant with respect to boosts. Different moving observers may see different internal compositions of the same unstable particle. Unfortunately, this effect is too small to be noticeable in modern experiments., Comment: 7 pages, 2 figures; submitted to Advances in High Energy Physics

We discuss an alternative method to mass renormalize a quantum field Hamiltonian based on a requirement that the vacuum and single-particle sectors are not self-scattering. We illustrate the feasibility of this method for the concrete example of bosonic quadratic and also quartic interactions. The results are compared with those obtained by the standard renormalization technique based on a spectral analysis of the usual field-based propagators. We also discuss a potential method for renormalizing a quantum field theory in a non-perturbative way using computational methods., Comment: 42 pages, 2 figures

46 years ago the quark model replaced the Sakata model as the standard explanation of the hadron structure. The major alleged defect of the Sakata model was its prediction of just too many types of particles, which have not been seen in experiments. However, this allegation was made without detailed consideration of the forces acting between sakatons. In this article we suggest a set of pairwise sakaton-sakaton and sakaton-antisakaton potentials that describe stability and masses of strongly interacting elementary particles in a good agreement with observations., Comment: 11 pages, 1 figure, 7 tables

The Darwin-Breit Hamiltonian is applied to the Aharonov-Bohm experiment. In agreement with the standard Maxwell-Lorentz theory, the force acting on electrons from infinite solenoids or ferromagnetic rods vanishes. However, the interaction energies and phase factors of the electron wave packets are non-zero. This allows us to explain the Aharonov-Bohm effect without involvement of electromagnetic potentials, fields, and topological properties of space., Comment: 15 pages, 2 figures; v2 - minor changes

We explore the idea that gravitational interaction can be described by instantaneous inter-particle potentials. This idea is in full accord with relativistic quantum theory. In particular, it resembles the ``dressed particle'' approach to quantum electrodynamics. Although the complete non-perturbative of this theory is yet unknown, one can reasonably guess its form in low perturbation orders and in the (1/c)^2 approximation. We suggest a relativistic energy operator, which in the classical limit reduces to the Einstein-Infeld-Hoffmann Hamiltonian for massive particles and correctly describes the effects of gravity on photons, including the light bending, the Shapiro delay, the gravitational time dilation and the red shift. The causality of this approach is briefly discussed., Comment: 9 pages, 1 figure; v2 and v3 - improved discussion of the principle of equivalence and the gravitational time dilation; v4 - added footnote and a reference; v5 - added discussion of optical clocks; v6 - discussion of the equivalence principle is rewritten; v7 - improved discussion of gravitational time dilation; v8 - multiple improvements; v9 - major revision

A rigorous quantum relativistic approach has been used to calculate the relationship between the decay laws of an unstable particle seen from two inertial frames moving with respect to each other. In agreement with experiment, it is found that the usual Einstein's time dilation formula is rather accurate in this case. However, small corrections to this formula were also obtained. Although the observation of these corrections is beyond the resolution of modern experiments, their presence indicates that special relativistic time dilation is not rigorously applicable to particle decays., Comment: 28 pages, 2 figures; v.2 fixed typos; v3 added reference

This book is an attempt to build a consistent relativistic quantum theory of interacting particles. In the first part of the book "Quantum electrodynamics" we follow rather traditional approach to particle physics. Our discussion proceeds systematically from the principle of relativity and postulates of quantum measurements to the renormalization in quantum electrodynamics. In the second part of the book "Quantum theory of particles" this traditional approach is reexamined. We find that formulas of special relativity should be modified to take into account particle interactions. We also suggest reinterpreting quantum field theory in the language of physical "dressed" particles. This formulation eliminates the need for renormalization and opens up a new way for studying dynamical and bound state properties of quantum interacting systems. The developed theory is applied to realistic physical objects and processes including the energy spectrum of the hydrogen atom, the decay law of moving unstable particles, and the electric field of relativistic electron beams. These results force us to take a fresh look at some core issues of modern particle theories, in particular, the Minkowski space-time unification, the role of quantum fields and renormalization as well as the alleged impossibility of action-at-a-distance. A new perspective on these issues is suggested. It can help to solve the old problem of theoretical physics -- a consistent unification of relativity and quantum mechanics., Comment: book, 839 pages, 64 figures, 22 tables, 330 references; v3 - book was totally rewritten; v11 - major additions; v12 - renormalization in QED; v14 - Lamb shift; v15 - neutrinos; v16 - Frascati experiment