Short Distance Scale Invariance, High Energy Processes and Elementary Particles

Abstract

AbstractWithin the framework of quantum field theory (QFT) with the Yukawa type of interactions of baryons and mesons a method is proposed which allows one to take into account the effects of short distance scale invariance in observable processes on the mass shell. In this theory the scale invariance is equivalent to the finite renormalization of coupling constants.The method is based on the investigation of asymptotics of diagrams and on the summation of all logarithmic terms of all diagrams. The general picture of high energy processes is in qualitative agreement with the present experimental situation, however, it manifests some peculiarities: For the scattering at small angles we obtain the modified Regge picture with fixed branch points of the \documentclass{article}\pagestyle{empty}\begin{document}$ \sqrt {i - i_0 } $\end{document} type in addition to the Regge poles. One of these branch points could be a good candidate for the Pomeranchuk singularity, the others are useful for some more delicate details of the scattering (e.g. polarization in the π N‐charge exchange). The large angle scattering cross section decreases as a power of energy. The Bjorken scaling in the deep inelastic ep‐scattering is not a direct effect of scale invariance and can be broken due to the factor (−q2)lγ. For the inclusive processes the modified Regge picture is obtained. The large transverse momentum distribution decreases as a power of q ⟂. A weak power growth of multiplicity and logarithmic growth of average transverse momenta are possible. In addition to the composite, reggeized particles there are some elementary mesons and nucleons which explain the peculiarities of the reactions with their exchange.