@misc{10481/49578,
year = {2017},
month = {6},
url = {http://hdl.handle.net/10481/49578},
abstract = {We examine the precise connection between the exact renormalisation group with local couplings and the renormalisation of correlation functions of composite operators in scale-invariant theories. A geometric description of theory space allows us to select convenient non-linear parametrisations that serve different purposes. First, we identify normal parameters in which the renormalisation group flows take their simplest form; normal correlators are defined by functional differentiation with respect to these parameters. The renormalised correlation functions are given by the continuum limit of correlators associated to a cutoff-dependent parametrisation, which can be related to the renormalisation group flows. The necessary linear and non-linear counterterms in any arbitrary parametrisation arise in a natural way from a change of coordinates. We show that, in a class of minimal subtraction schemes, the renormalised correlators are exactly equal to normal correlators evaluated at a finite cutoff. To illustrate the formalism and the main results, we compare standard diagrammatic calculations in a scalar free-field theory with the structure of the perturbative solutions to the Polchinski equation close to the Gaussian fixed point.},
organization = {This work has been supported by the Spanish MICINN project FPA
2013-47836-C3-2-P, the MINECO project FPA2016-78220-C3-1-P and by the European
Commission through the contract PITN-GA-2012-316704 (HIGGSTOOLS).},
publisher = {Springer},
keywords = {Renormalization Group},
keywords = {Conformal Field Theory},
keywords = {Renormalization Regularization and Renormalons},
title = {Wilsonian renormalisation of CFT correlation functions: Field theory},
doi = {10.1007/JHEP06(2017)139},
author = {Lizana, J. M. and Pérez-Victoria, Manuel},
}