The Alf'ven Effect and Conformal Field Theory

Abstract

Noting that two-dimensional magnetohydrodynamics can be modeled by conformal field theory, we argue that when the Alf'ven effect is also taken into account one is naturally lead to consider conformal field theories, which have logarithmic terms in their correlation functions. We discuss the implications of such logarithmic terms in the context of magnetohydrodynamics, and derive a relationship between conformal dimensions of the velocity stream function, the magnetic flux function and the Reynolds number.

7 pages,Latex, no figures. A section on candidate CFT's is added, although logarithmic correlators do not appear in the minimal models but models which have nearly equal conformal dimensions can mimic logarithmic behaviour, provided the Reynold number is large enough, a relationship between the reynolds number and conformal dimensions is derived

References in corpus (4)

• Turbulent Two Dimensional Magnetohydrodynamics and Conformal Field Theory.
• Is 2d Turbulence a Conformal Turbulence?
• Field Theory and the Phenomenon of Turbulence
• The Coulomb Gas Behaviour of Two Dimensional Turbulence

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• Symplectic Fermions
• A Local Logarithmic Conformal Field Theory
• The Logarithmic Conformal Field Theories
• 2-Dimensional Turbulence: yet another Conformal Field Theory Solution
• A Logarithmic Conformal Field Theory Solution For Two Dimensional Magnetohydrodynamics In Presence of The Alf'ven Effect
• Extended chiral algebras and the emergence of SU(2) quantum numbers in the Coulomb gas
• Integrable hierarchies, Hurwitz numbers and a branch point field in critical topologically massive gravity
• Two-Point Functions and Boundary States in Boundary Logarithmic Conformal Field Theories
• Two-Point Functions and Logarithmic Boundary Operators in Boundary Logarithmic Conformal Field Theories
• Indecomposable Representations in Z_n Symmetric b,c Ghost Systems via Deformations of the Virasoro Field