On Newton-Cartan local renormalization group and anomalies
Roberto Auzzi, Stefano Baiguera, Francesco Filippini, Giuseppe, Nardelli
TL;DR
This paper explores the application of Weyl consistency conditions to non-relativistic theories with boost invariance and dynamical exponent z=2, analyzing how different gravitational backgrounds influence the renormalization group properties.
Contribution
It extends the Weyl consistency framework to non-relativistic theories, examining the impact of various gravitational backgrounds on local renormalization group and anomalies.
Findings
Different gravitational backgrounds lead to distinct anomaly structures.
The formalism provides insights into the irreversibility of the renormalization group in non-relativistic settings.
The approach clarifies the role of boost invariance in the renormalization group analysis.
Abstract
Weyl consistency conditions are a powerful tool to study the irreversibility properties of the renormalization group. We apply this formalism to non-relativistic theories in 2 spatial dimensions with boost invariance and dynamical exponent z=2. Different possibilities are explored, depending on the structure of the gravitational background used as a source for the energy-momentum tensor.
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