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On the Beta Function for Anisotropic Current Interactions in 2D

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arxiv hep-th/0011189 v3 pith:DAQVYEQD submitted 2000-11-21 hep-th

On the Beta Function for Anisotropic Current Interactions in 2D

classification hep-th
keywords anisotropicbetafunctioninteractionsordersalgebraiccertaincompute
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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By making use of current-algebra Ward identities we study renormalization of general anisotropic current-current interactions in 2D. We obtain a set of algebraic conditions that ensure the renormalizability of the theory to all orders. In a certain minimal prescription we compute the beta function to all orders.

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Forward citations

Cited by 7 Pith papers

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

  1. Time-Dependent Integrability from Gauge Theory, I

    hep-th 2026-07 accept novelty 7.5

    Spacetime-dependent 4d Chern-Simons theory generates time-dependent integrable field theories whose allowed time dependence coincides with one-loop RG flow while preserving Lax integrability.

  2. Cohomological beta function

    math-ph 2026-06 accept novelty 7.0

    The leading Cardy beta-function coefficient for J¯J deformations of 2D CFTs is the class of a Chevalley-Eilenberg 2-cocycle obstructing deformation of the Virasoro module.

  3. Cohomological beta function

    math-ph 2026-06 unverdicted novelty 7.0

    Cohomological beta function: the leading perturbative beta function in 2D CFT current-current deformations equals the coefficient of the cocycle obstructing Virasoro module deformation on the state space.

  4. Non-perturbative renormalization group for pseudo-hermitian scalar fields in 4D

    hep-th 2025-04 unverdicted novelty 7.0

    The pseudo-hermitian scalar model exhibits a line of non-unitary 4D fixed points, massless flows between them, and cyclic RG flows, supported by three-loop beta functions and an all-order conjecture.

  5. Cohomological beta function

    math-ph 2026-06 accept novelty 6.5

    The Cardy quadratic beta-function coefficient for J¯J deformations equals the class of the Chevalley-Eilenberg 2-cocycle obstructing deformation of the Virasoro module.

  6. Cohomological beta function

    math-ph 2026-06 unverdicted novelty 6.0

    A cohomological approach reproduces the Cardy formula for the leading perturbative beta function in current-current deformations of 2D CFTs as the coefficient of an obstructing cocycle.

  7. A rich structure of renormalization group flows for Higgs-like models in 4 dimensions

    hep-th 2024-11 reject novelty 5.0

    A two-Higgs-doublet model with SU(2)-based marginal operators produces unavoidable cyclic RG flows, pseudo-unitary behavior below pair-production threshold, and Russian Doll VEVs whose period is fixed by the Koide for...