Renormalisation Group Flows and Conserved Vector Currents

Details Renormalisation Group Flows and Conserved Vector Currents Renormalisation Group Flows and Conserved Vector Currents

1994-04-24

arxiv.org/abs/hep-th/9404150v1

Nucl.Phys. B435 (1995) 735-752

Physics

High Energy Physics

High Energy Physics - Theory

14 pages in Plain TeX, UB-ECM-PF 94/6

Scientific paper

10.1016/0550-3213(94)00451-J

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.

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