One-Loop Quantum Effects in Carroll Scalars
arXiv:2307.03901 · doi:10.1103/PhysRevD.108.085022
Abstract
Carrollian field theories at the classical level possess an infinite number of space-time symmetries, namely the supertranslations. In this article, we inquire whether these symmetries for interacting Carrollian scalar field theory survive in the presence of quantum effects. For interactions polynomial in the field, the answer is in the affirmative. We also study a renormalization group flow particularly tailored to respect the manifest Carroll invariance and analyze the consequences of introducing Carroll-breaking deformations. The renormalization group flow, with perturbative loop-level effects taken into account, indicates a new fixed point apart from the Gaussian ones.
20 pages, 6 figures. Version accepted for publication in Phys. Rev. D
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- Quantization of Carrollian conformal scalar theories
- Flat Bands and Compact Localised States: A Carrollian roadmap
- Irrelevant and marginal deformed BMS field theories
- Quantization of Carrollian fermions
- Supersymmetric Carroll Galileons in Three Dimensions
- Unique Carrollian manifolds emerging from Einstein spacetimes
- Emergent Carroll symmetry at phase separation in one-dimensional lattice systems