By R. Petronzio (auth.), K. H. Mütter, K. Schilling (eds.)

This quantity includes the contributions to the foreign summer season INSTITUTE ON THEORETICAL PHYSICS 1980 held from September 1st to September twelfth in undesirable Honnef, Germany. This Institute was once geared up by way of Wuppertal college. It used to be the 11th in a sequence of summer time colleges on particle physics conducted by way of German Universities. The Institute used to be aimed to study the current prestige of gauge theories in basic particle physics, with emphasis either at the phenomenological and formal points. the 1st a part of the amount covers the hot development within the improvement of perturbative tools either in quantum chromodynamics (QCD) and taste dynamics (QFD). purposes to to be had info from electron positron garage jewelry and deep inelastic scattering are mentioned. the second one half offers new effects on classical strategies and non-perturbative tools in gauge theories and similar box theories like non linear a-models. a really topical account is given at the program of Monte Carlo tools inside of lattice gauge theories. at the moment those equipment seem to be the main promising strategy to identify the quark confinement speculation in the framework of non-Abelian gauge theories. the amount is closed with a development document at the current realizing of sup~rgravity and its relation to grand unification schemes. The lectures on Grand Unified Theories given through Dr. D. V. Nanopoulos on the undesirable Honnef assembly are available within the lawsuits of the 1980 Rencontre de Moriond (Ed. J. Tran Thanh Van).

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I ( , t) 0 ~ - ~x l? -\-. I\IL -:: 4: The definition of the momenta in the squared amplitude. l-. ~+[~ 4xt'. ( 2~'-'E 21? ~. ) where n is the light-like vector specifying the gauge. The quantity t is arbitrary and in the following will be set equal to 1. The result of working in this frame is that collinear fractions of momenta are "measured" by contraction with the gauge vector n~: n·k = x. The projector]2 must: i) isolate the collinear configuration, which gives rise to the singularities,by decoupling two adjacent kernels in Lorentz indices; ii) extract the singular part of momentum integrations, by realizing a decoupling also in transverse momenta.

KALINOWSKI AND K. KONISHI calorimeters of the same size, we can simply study the average number of mini-jets. This number, as a function of experimental resolutions 0 and x o ' can be computed in LLA. From this second viewpoint, relevant Feynman diagrams look like the one in Fig. 3. QeD jets are fractals. Let us now compare Fig. 2 and Fig. 3. Are these two pictures of QeD jets compatible? The key to understand the relationship between these two different pictures, is the Kinoshita-Lee-Nauenberg (KLN) theorem of mass singularities~ ~he same O(a s ) diagrams contribut~ both to (do/dx)e e + q(x) + X and (do/d~)e+e- + 2 Jets (o,E),the only difference being the relative weights of diagrams in the two cases.

Lett. 92B (1980) 175; D. Arnati, A. Bassetto, M. Ciafaloni~. Marchesini and G. Veneziano, Nucl. Phys. B173 (1980) 429 47 PICTURE OF QCD JETS: LEADING LOG APPROXIMATION AND BEYOND IT J. Kalinowski K. K. ABSTRACT We review the picture of QCD jets as it emerged from the analyses based on perturbative QCD in the leading log approximation (LLA) and beyond it. Part I (by K. Konishi) gives a brief review of the intuitive (fractal) picture and quantitative description of QCD jets in LLA, and contains discussions on some salient aspects of QCD corrections beyond the leading order.