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Quantization of Interacting Galilean Field theories

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arxiv 2205.01918 v3 pith:NKN2R4IU submitted 2022-05-04 hep-th gr-qc

classification hep-thgr-qc
keywords theoryfieldgalileanquantumdescriptionfoundobtainedorder
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We present the quantum field description of Galilean electrodynamics minimally coupled to massless Galilean fermion in (3 + 1) dimensions. At the classical level, the Lagrangian is obtained as a null reduction of a relativistic theory in one higher dimension. We use functional techniques to develop the quantum field description of the theory. Quantum corrections to the propagators and vertex are obtained upto first order and the theory is found to be renormalizable to this order. The beta function of the theory is found to grow linearly; the theory is not asymptotically free.

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Cited by 3 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Interacting Galilean and Finite-Energy Carroll Fermions

    hep-th 2026-08 conditional novelty 7.0 of 10

    A c-dependent similarity transformation generates new Galilean and Carrollian fermion actions, including a Carrollian model with non-removable finite energy and a Galilean model with an accidental fermionic gauge symmetry.

  2. Quantization of Carrollian fermions

    hep-th 2025-02 conditional novelty 5.0 of 10

    A first interacting 4D Carrollian Yukawa theory is constructed, showing ultralocal fermion-scalar interactions and one-loop beta functions with mostly Gaussian fixed points.

  3. An Introduction to String Newton-Cartan Holography and Integrability

    hep-th 2026-03 accept novelty 3.0 of 10

    String Newton-Cartan holography, the non-relativistic limit of the AdS/CFT correspondence, is organized and reviewed around five consistency conditions, with its classical solutions, spectrum, and integrability structure.

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