In the paper are described some steps for merger between relativistic quantum theory and theory of computation. The first step is consideration of transformation of qubit state due to rotation of coordinate system. The Lorentz transformation is considered after that. The some new properties of this transformation change usual model of qubit. The system of qbit seems more fundamental relativisti...

We analyze the particle-like excitations arising in relativistic field theories in states different than the vacuum. The basic properties characterizing the quasiparticle propagation are studied using two different complementary methods. First we introduce a frequency-based approach, wherein the quasiparticle properties are deduced from the spectral analysis of the twopoint propagators. Second,...

The mathematical description of stable particle-like systems appearing in relativistic quantum field theory at large, respectively small scales or non-zero temperatures is discussed.

A relativistic quantum theory of gravity is proposed in which the gravitational interaction between particles is represented by distanceand velocity-dependent potentials. The Poincaré invariance, the cluster separability, and the causality of this approach are established. The Hamiltonian for interacting massive particles and photons is formulated within the c−2 approximation. The classical lim...

The renormalization program has been shown to be a success operationally: 1. For a renormalizable theory, all ultraviolet divergences can be absorbed into redefinitions of bare quan­ tities, which are not observable. What is meant by the set of physical observables is unambiguous: it is well-defined in terms of a small number of physical couplings, masses and so forth. 2. The requirement of ren...

High-precision relativistic atomic structure calculations based on the relativistic many-body perturbation theory and the relativistic configuration-interaction method are shown to provide stringent tests of strong-field quantum electrodynamic (QED) corrections when compared with electron beam ion trap measurements of the spectra of highly-charged, manyelectron ions. It is further shown that th...

We investigate the possibility that the quantum theory of gravity could be constructed discretely using algebraic methods. The algebraic tools are similar to ones used in constructing Topological Quantum Field theories. The algebraic structures are related to ideas about the reinterpretation of quantum mechanics in a general relativistic context.

We investigate the relationship between the covariant and the three-dimensional (equal-time) formulations of quantum kinetic theory. We show that the three-dimensional approach can be obtained as the energy average of the covariant formulation. We illustrate this statement in scalar and spinor QED. For scalar QED we derive Lorentz covariant transport and constraint equations directly from the K...

We show how the state of an unstable particle can be defined in terms of stable asymptotic states. This general definition is used to discuss and to solve some old problems connected with the short-time and large-time behaviour of the non-decay amplitude. CERN-TH/97-246 September 1997 ⋆ Address from Sept 1st, 1997 to August 31st, 1998.