Renormalization group flows and conserved vector currents

: Irreversibility of RG flows in two dimensions is shown using conserved vector currents. Out of a conserved vector current, a quantity decreasing along the RG flow is built up such that it is stationary at fixed points where it coincides with the constant coefficient of the two current correlation function. For Wess-Zumino-Novikov-Witten models this constant coefficient is the level of their associated affine Lie algebra. Extensions to higher dimensions using the spectral decomposition of the two current correlation function are studied.

field theory: conformal
dimension: 2
renormalization group: c-function
renormalization group: transformation
current: conservation law
sum rule
Wess-Zumino-Witten model

References(13)

Figures(0)

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