Starting from the QCD Lagrangian, we present the QCD Hamiltonian for near light cone coordinates. We study the dynamics of the gluonic zero modes of this Hamiltonian. The strong coupling solutions serve as a basis for the complete problem. We discuss the importance of zero modes for the confinement mechanism.
We introduce a way of implementing Wilson renormalization within the context of the theory of effective Hamiltonians. Our renormalization scheme involves manipulations at the level of the generalized G-matrix and is independent of any specific kinematics. We show how to calculate the beta function within this context and exhibit our method using simple scale-invariant quantum mechanical systems.Typeset using REVT E X 1
We have analyzed 370 000 pictures taken in the 30-inch hydrogen bubble chamber exposed to the 5.5-GeV/c separated K~ beam 1 at the Argonne zero-gradient synchrotron (ZGS). Light particle contamination in the beam was £5% when calculated from a r scan of the film. A Cerenkov counter operated during the exposure indicated the same high purity. About 5000 two-prong events with an associated A decay have been found. After kinematic analysis, these yielded 328 fits to the final state A77 + TT"" and 89 fits to 2°77 + 7r~.When more than one hypothesis produced a fit to a given event, a x 2 probability cut was used to exclude all fits having a probability 5 times less than that for the best fit. After this selection, all events fitting the hypothesis ATT + 77~ with a \ 2 probability >1% were classified as ATT + TT~ events. Of the remaining events, all those fitting the Z°Tf + 7r~ hypothesis with a X 2 probability >1% were classified as £°7r + 77~" events. These criteria yield a rather pure sample of the four-constraint AIT + IT~ final state. 2 The two-constraint fits to S°7r + 7r"~ have some (unknown) contamination from the A7T + ir~n° events, but this uncertainty is not important for the present results. Because of the high-beam purity, contamination due to events originating from pions can be neglected. 3 The Dalitz plot and the mass-squared projection for the events classified as ATI + IT~ are shown in Fig.
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