In this paper we analyze one–matrix models by means of the associated discrete linear systems. We see that the consistency conditions of the discrete linear system lead to the Virasoro constraints. The linear system is endowed with gauge invariances. We show that invariance under time–independent gauge transformations entails the integrability of the model, while the double scaling limit is con...

The proof of the non-renormalization theorem for the gauge anomaly of four-dimensional theories is extended to the case of models with a vanishing one-loop gauge beta function. Supported in part by the Swiss National Science Foundation.

We take the manifestly gauge invariant exact renormalisation group previously used to compute the one-loop β function in SU(N) Yang-Mills without gauge fixing, and generalise it so that it can be renormalised straightforwardly at any loop order. The diagrammatic computational method is developed to cope with general group theory structures, and new methods are introduced to increase its power, ...

The complete UV-divergent contribution to the one-loop 1PI four-point function of Yang-Mills theory in the light-cone gauge is computed in this paper. The formidable UV-divergent contributions arising from each fourpoint Feynman diagram yield a succinct final result which contains nonlocal terms as expected. These nonlocal contributions are consistent with gauge symmetry, and correspond to a no...

introduction: the purpose of the present study was to record their pain sensation and to assess children`s reaction objectively and subjectively while receiving dental local anesthesia with 27- and 30-gauge needles. methods: forty children (24 boys and 16 girls) participated in this study. a random double-blinded crossover design was used so that each child served as his or her own control, rec...

The renormalization group approach towards the string representation of non abelian gauge theories translates, in terms of the string sigma model beta function equations, the renormalization group evolution of the gauge coupling constant and Zamolodchikov‘s c function. Tachyon stability, glueball mass gap, renormalization group evolution of the c function and the area law for the Wilson loop ar...