On the Beta Function for Anisotropic Current Interactions in 2D

Abstract

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.

7 pages, 6 figures. v2: References added and typos corrected; v3: cancellation of finite parts more accurately stated

References in corpus (4)

• gl(N|N) Super-Current Algebras for Disordered Dirac Fermions in Two Dimensions
• Irrational Conformal Field Theory
• Interplay of the Scaling Limit and the Renormalization Group: Implications for Symmetry Restoration
• Strong Coupling Fixed Points of Current Interactions and Disordered Fermions in 2D

Cited by in corpus (38)

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• A Classification of random Dirac fermions
• Integrable flows between exact CFTs
• Russian Doll Renormalization Group, Kosterlitz-Thouless Flows, and the Cyclic sine-Gordon model
• Log-periodic behavior of finite size effects in field theories with RG limit cycles
• Dynamical Symmetry Enlargement Versus Spin-Charge Decoupling in the One-Dimensional SU(4) Hubbard Model
• Freezing transitions and the density of states of 2D random Dirac Hamiltonians
• All-loop correlators of integrable $\lambda$-deformed $\sigma$-models
• All-loop anomalous dimensions in integrable $\lambda$-deformed $\sigma$-models
• Double and cyclic $\lambda$-deformations and their canonical equivalents
• The 4-loop beta-function in the 2D Non-Abelian Thirring model, and comparison with its conjectured "exact" form
• The most general $\lambda$-deformation of CFTs and integrability
• Integrable sigma models and 2-loop RG flow
• Novel all loop actions of interacting CFTs: Construction, integrability and RG flows
• Chiral stabilization of the renormalization group for flavor and color anisotropic current interactions
• A new class of integrable deformations of CFTs
• Competing Orders in One-Dimensional Half-Integer Fermionic Cold Atoms: A Conformal Field Theory Approach
• Quantum aspects of doubly deformed CFTs
• Renormalization group limit-cycles and field theories for elliptic S-matrices
• The exact $C$-function in integrable $\lambda$-deformed theories
• Strong Coupling Fixed Points of Current Interactions and Disordered Fermions in 2D
• Yang Baxter and Anisotropic Sigma and Lambda Models, Cyclic RG and Exact S-Matrices
• Exact results from the geometry of couplings and the effective action
• Renormalization group for network models of Quantum Hall transitions
• Renormalization and redundancy in 2d quantum field theories
• Peculiarities of beta functions in sigma models
• Field theory and $\lambda$-deformations: Expanding around the identity
• Large N spin quantum Hall effect
• Webs of integrable theories
• Hamiltonian integrability of the webs of integrable theories
• A free field perspective of $\lambda$-deformed coset CFT's
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• Wilson-Kadanoff Renormalization Group in Higher Orders: One-Dimensional g-ology Model as an Example
• $\beta$-function of the level-zero Gross-Neveu model
• Higher-Dimensional Chirally Stabilized Fixed Points and Their Deformations