• Corpus ID: 248506063

Exact renormalization groups and transportation of measures

@inproceedings{Shenfeld2022ExactRG,
  title={Exact renormalization groups and transportation of measures},
  author={Yair Shenfeld},
  year={2022}
}
. This note provides a new perspective on Polchinski’s equation for the exact renormalization group by explaining how it gives rise, via the multiscale Bakry-´Emery criterion, to Lipschitz transport maps between Gaussian free fields and Euclidean quantum field theories. Consequently, many functional inequalities can be verified for the latter field theories, going beyond the current known results. 

Behavior of the Poincar{\'e} constant along the Polchinski renormalization flow

We control the behavior of the Poincar´e constant along the Polchinski renormalization flow using a dynamic version of Γ-calculus. We also treat the case of higher order eigenvalues. Our method

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