Trace and Dilatation Anomalies in Gauge Theories

摘要: The form of the anomaly in trace energy-momentum tensor a general theory interacting fermions and non-Abelian gauge bosons is dervied. result shown to involve precisely those gaugevariant operatos which are known mix with naive under renormalization. be soft on mass shell if only at an eigenvalue Callan-Symanzik $\ensuremath{\beta}$ function. dilatation matrix element $\ensuremath{\theta}_{}^{\ensuremath{\lambda}}{}_{\ensuremath{\lambda}}{}^{}$ two electromagnetic currents (to lowest order electromagnetism, but including all orders strong interaction) derived infinitely renormalized finite perturbation theory. This then canonical given by lowest-order provided interactions summed before going limit physical space-time dimensions.