On Newton-Cartan local renormalization group and anomalies

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.

arXiv comment22 pages; V2 refs. added

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Cited by in corpus (15)

• Conformal Carroll Scalars with Boosts
• Aspects of Non-Relativistic Quantum Field Theories
• On the Heat Kernel and Weyl Anomaly of Schrödinger invariant theory
• Renormalization properties of a Galilean Wess-Zumino model
• Existence and Construction of Galilean invariant $z\ne 2$ Theories
• BMS Field Theories and Weyl Anomaly
• Unitarity and Universality in non relativistic Conformal Field theory
• Gravitational anomalies on the Newton-Cartan background
• Spontaneous Breaking of Non-Relativistic Scale Symmetry
• Nonrelativistic trace and diffeomorphism anomalies in particle number background
• Trace anomaly for non-relativistic fermions
• Constraints on anisotropic RG flows from holographic entanglement entropy
• Non-Relativistic Supersymmetry on Curved Three-Manifolds
• Transport in Superfluid Mixtures
• Conformal Mapping of Non-Lorentzian Geometries in SU(1,2) Conformal Field Theory