Information theory in high energy physics (extensive and nonextensive approach)

The application of information theory approach (both in its extensive and nonextensive versions) to high energy multiparticle processes is discussed and confronted with experimental data on e+e- annihilation processes, pp and \bar{p}p scatterings and heavy ion collisions.Comment: 6 pages - contribution to International Workshop on: Trends and Perspectives in Extensive and Non-Extensive Statistical Mechanics (in Honour to the q-60th Birthday of Constantino Tsallis) November 19-21, 2003, Angra dos Reis, Brazil Small corrections added. To be published in Physica A (2004

Consistent effective description of nucleonic resonances in an unitary relativistic field-theoretic way

High energy strong interaction physics is successfully described by the local renormalizable gauge theory called Quantum-Chromo-Dynamics (QCD) with quarks and gluons as ``elementary'' degrees of freedom, while intermediate energy strong interaction physics shows up to be determined by a non-local, non--renormalizable effective field theory (EFT) of ``effective'' degrees of freedom like mesons, ground state baryons and resonances. Within the picture of an effective field theory of strong interaction at intermediate energies I present a ``toy-model'' in which fermionic and bosonic resonances are considered to be ``particles'', i.e. they consistently are described by (anti-)commuting effective field-operators (containing dynamics of infinitely many quark-gluon or meson-nucleon diagrams) which are comfortably treated by Wick's Theorem in a covariant framework and obey unitarity. Non-trivial implications to couplings of non-local interactions are shown.Comment: 8 pages, 1 figure; invited talk given at XIV. Int. Sem. on High Energy Physics Probl., 17.-22.8.1998, Dubna (to be published in the proceedings

New Physics and the Landau Pole

In scalar field theories the Landau pole is an ultraviolet singularity in the running coupling constant that indicates a mass scale at which the theory breaks down and new physics must intervene. However, new physics at the pole will in general affect the running of the low energy coupling constant, which will in turn affect the location of the pole and the related upper limit (``triviality'' bound) on the low energy coupling constant. If the new physics is strongly coupled to the scalar fields these effects can be significant even though they are power suppressed. We explore the possible range of such effects by deriving the one loop renormalization group equations for an effective scalar field theory with a dimension 6 operator representing the low energy effects of the new physics. As an independent check we also consider a renormalizable model of the high-scale physics constructed so that its low energy limit coincides with the effective theory.Comment: 26 pages, 5 figure

Trace Anomaly and Quantization of Maxwell's Theory on Non-Commutative Spaces

The canonical and symmetrical energy-momentum tensors and their non-zero traces in Maxwell's theory on non-commutative spaces have been found. Dirac's quantization of the theory under consideration has been performed. I have found the extended Hamiltonian and equations of motion in the general gauge covariant form.Comment: 9 pages, LaTeX. Talk given at 24th Annual MRST (Montreal-Rochester-Syracuse-Toronto) Conference on High-Energy Physics (MRST 2002), Perimeter Institute for Theoretical Physics-Waterloo, Ontario, Canada, 15-17 May 2002