Quantizing Carrollian field theories
arXiv:2407.11971 · doi:10.1007/JHEP10(2024)049
Abstract
Carrollian field theories have recently emerged as a candidate dual to flat space quantum gravity. We carefully quantize simple two-derivative Carrollian theories, revealing a strong sensitivity to the ultraviolet. They can be regulated upon being placed on a spatial lattice and working at finite inverse temperature. Unlike in conventional field theories, the details of the lattice-regulated Carrollian theories remain important at long distances even in the limit that the lattice spacing is sent to zero. We use that limit to define interacting continuum models with a tractable perturbative expansion. The ensuing theories are those of generalized free fields, with non-Gaussian correlations suppressed by positive powers of the lattice spacing, and an unbroken supertranslation symmetry.
48 pages, 2 figures; v2: minor changes, matches published version
References in corpus (40)
- Aspects of the BMS/CFT correspondence
- BMS supertranslations and Weinberg's soft graviton theorem
- Symmetries of asymptotically flat 4 dimensional spacetimes at null infinity revisited
- Chern-Simons Theory with Vector Fermion Matter
- Semiclassical Virasoro Symmetry of the Quantum Gravity S-Matrix
- Asymptotic symmetries and subleading soft graviton theorem
- Carroll versus Newton and Galilei: two dual non-Einsteinian concepts of time
- Carrollian Perspective on Celestial Holography
- Flat Holography: Aspects of the dual field theory
- New symmetries for the Gravitational S-matrix
- Exotic Symmetries, Duality, and Fractons in 2+1-Dimensional Quantum Field Theory
- Exotic Symmetries, Duality, and Fractons in 3+1-Dimensional Quantum Field Theory
- Bridging Carrollian and Celestial Holography
- An introduction to the SYK model
- Notes on the BMS group in three dimensions: I. Induced representations
- Dynamics of Carroll Particles
- A theory of reparameterizations for AdS gravity
- Fractons, dipole symmetries and curved spacetime
- Celestial Amplitudes from UV to IR
- Null Infinity and Unitary Representation of The Poincare Group
- Dual dynamics of three dimensional asymptotically flat Einstein gravity at null infinity
- Notes on the BMS group in three dimensions: II. Coadjoint representation
- AdS Witten Diagrams to Carrollian Correlators
- Magic Fermions: Carroll and Flat Bands
- Carrollian and celestial spaces at infinity
- Geometric actions for three-dimensional gravity
- On Higher-dimensional Carrollian and Galilean Conformal Field Theories
- The Soft -Matrix in Gravity
- Spatially isotropic homogeneous spacetimes
- Carroll/fracton particles and their correspondence
- Geometric actions and flat space holography
- Non-abelian infrared divergences on the celestial sphere
- The Effective Action of Superrotation Modes
- Massless Scalars and Higher-Spin BMS in Any Dimension
- One-Loop Quantum Effects in Carroll Scalars
- Carrollian Origin of Spacetime Subsystem Symmetry
- The structure of IR divergences in celestial gluon amplitudes
- The Holographic Soft -Matrix in QED and Gravity
- Towards Carrollian quantization: renormalization of Carrollian electrodynamics
- An On-Shell Derivation of the Soft Effective Action in Abelian Gauge Theories