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Renormalisation Group Flows and Conserved Vector Currents
Xavier Vilasis-Cardona
Irreversibility of RG flows in two dimensions is shown using conserved vector currents. Out of a conserved vector current, a quantity decreasing along the RG flow is built up such…
Systematic Differential Renormalization to All Orders
J. I. Latorre, C. Manuel, X. Vilasis-Cardona
We present a systematic implementation of differential renormalization to all orders in perturbation theory. The method is applied to individual Feynamn graphs written in coordinat…
Renormalization Group Patterns and C-Theorem in More Than Two Dimensions
Andrea Cappelli, José Ignacio Latorre, Xavier Vilasis-Cardona
We elaborate on a previous attempt to prove the irreversibility of the renormalization group flow above two dimensions. This involves the construction of a monotonically decreasing…