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Lightcone Effective Hamiltonians and RG Flows

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arxiv 1803.10793 v2 pith:GTVOLQIX submitted 2018-03-28 hep-th math-phmath.MP

classification hep-thmath-phmath.MP
keywords prescriptioncftsquantizationeffectivehamiltonianlargelightconenumber
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We present a prescription for an effective lightcone (LC) Hamiltonian that includes the effects of zero modes, focusing on the case of Conformal Field Theories (CFTs) deformed by relevant operators. We show how the prescription resolves a number of issues with LC quantization, including i) the apparent non-renormalization of the vacuum, ii) discrepancies in critical values of bare parameters in equal-time vs LC quantization, and iii) an inconsistency at large N in CFTs with simple AdS duals. We describe how LC quantization can drastically simplify Hamiltonian truncation methods applied to some large N CFTs, and discuss how the prescription identifies theories where these simplifications occur. We demonstrate and check our prescription in a number of examples.

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Cited by 2 Pith papers

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

  1. Systematic Improvement of Hamiltonian Truncation Effective Theory

    hep-th 2025-07 conditional novelty 6.0 of 10

    NLO matching corrections with nonlocal terms are computed for 1+1D λφ⁴ Hamiltonian truncation, and the eigenvalue error is shown to scale as 1/Emax⁴, confirming the effective theory power counting.

  2. Covariant analysis of electromagnetic current on the light cone: exposition with scalar Yukawa theory

    hep-ph 2025-01 conditional novelty 6.0 of 10

    Adding an antinucleon Fock component, even at only ~2% probability, dramatically reduces the frame dependence of the charge form factor in strongly coupled scalar Yukawa theory on the light front.

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