Wilsonian renormalisation of CFT correlation functions: field theory

@article{Lizana2017WilsonianRO,
  title={Wilsonian renormalisation of CFT correlation functions: field theory},
  author={Javier M. Lizana and Manuel P{\'e}rez-Victoria},
  journal={Journal of High Energy Physics},
  year={2017},
  volume={2017},
  pages={1-38}
}
A bstractWe 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… 
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References

SHOWING 1-10 OF 41 REFERENCES
Holographic renormalisation group flows and renormalisation from a Wilsonian perspective
A bstractFrom the Wilsonian point of view, renormalisable theories are understood as submanifolds in theory space emanating from a particular fixed point under renormalisation group evolution. We
Scalar 3-point functions in CFT: renormalisation, beta functions and anomalies
A bstractWe present a comprehensive discussion of renormalisation of 3-point functions of scalar operators in conformal field theories in general dimension. We have previously shown that conformal
Fundamentals of the Exact Renormalization Group
Renormalization and effective lagrangians
Derivation of a four dimensional c-theorem for renormaliseable quantum field theories
COVARIANT DERIVATIVES AND THE RENORMALIZATION GROUP EQUATION
The renormalization group equation for N-point correlation functions can be interpreted in a geometrical manner as an equation for Lie transport of amplitudes in the space of couplings. The vector
Holographic Reconstruction of Spacetime¶and Renormalization in the AdS/CFT Correspondence
Abstract: We develop a systematic method for renormalizing the AdS/CFT prescription for computing correlation functions. This involves regularizing the bulk on-shell supergravity action in a
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