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The local Callan-Symanzik equation: structure and applications

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The local Callan-Symanzik equation
describes the response of a quantum field theory to local scale transformations
in the presence of background sources. The consistency conditions associated
with this anomalous equation can be used to derive powerful constraints on RG
flows. We will discuss various aspects of the equation and present new results
regarding the structure of the anomaly. We then use the equation to write
correlation functions of the trace of the energy-momentum tensor