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Quantizing Carrollian field theories
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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.
Forward citations
Cited by 13 Pith papers
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The Energy-Momentum-News Complex near Future Null Infinity
A Carroll-covariant energy-momentum-news complex at future null infinity yields Ward identities that generalise the Bondi loss equations, with an anomalous Carroll boost.
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Missing Descendants in the Carrollian Conformal Family
Including the missing K0 descendant chain completes Carrollian conformal representations and produces C2>0 sectors and two-point correlators fixed only up to functions of Carrollian invariants.
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Revisiting Schr\"odinger CFTs: Factorization, Massless Particles, and a Path to the Bootstrap
Schrödinger CFTs are reformulated via a harmonic-trap thermofield double, giving a state-operator correspondence for all operators and a factorization proof of non-renormalization.
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Light and Shadow OPEs: A Carroll Symmetric Approach to Flat Holography
Translation symmetry alone fixes the scaling dimension and leading OPE coefficient for light-transformed Carrollian primaries, matching known graviton, gluon, and Einstein-Yang-Mills results.
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Soft gravitons in three dimensions
Three-dimensional flat-space gravity, despite having no propagating gravitons, exhibits an infrared triangle: a soft graviton theorem, BMS3 asymptotic symmetries, and gravitational memory effects, all equivalent throu...
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Carroll fermions of arbitrary spin
Free massless fermions of arbitrary spin admit two inequivalent Carrollian (c→0) limits, electric and magnetic, derived from the Fang–Fronsdal actions, with the magnetic theory reducible to the projected relativistic ...
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A unified expansion of Einstein's gravity
A unified (s,n)-parametrized expansion of the Einstein-Hilbert action yields Galilean, Carroll, Lorentzian, and string Carroll gravity, and near-horizon black hole geometries satisfy the string Carroll equations.
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BMS$_3$ invariant field theories
New BMS3-invariant 2D scalar theories (electric, magnetic, canonical, coupled) with boundary analysis, flux laws, monodromy matching to 3D gravity, and complementary AdS3/dS3 flat limits.
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Modular Hamiltonian and entanglement entropy in the BMS free fermion theory
In the BMS free fermion model, the two-interval modular Hamiltonian has local plus bi-local terms, and the vacuum entanglement entropy for n intervals is the chiral-CFT formula with c_L=1 and c_M=0.
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A finite Carrollian critical point
A double-scaled N to 0 limit of Carrollian vector models and Yang-Mills produces interacting Carrollian correlators with finite effective central charge and hyperscaling violation.
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Quantization of Carrollian fermions
A first interacting 4D Carrollian Yukawa theory is constructed, showing ultralocal fermion-scalar interactions and one-loop beta functions with mostly Gaussian fixed points.
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Carrollian Quantum Mechanics: Time-like, Space-like and Hybrid Sectors
A c→0 contraction of the Klein-Gordon equation yields three Carrollian quantum sectors, and the time-like sector shows temporal tunneling with |T|²=1+|R|².
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Lectures on Carrollian Holography
Massless scattering amplitudes, including gravitons, can be recast as correlators of a carrollian conformal field theory on null infinity, but the non-perturbative bootstrap program remains incomplete.
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