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Conformal invariance and critical exponents in two dimensions

1986; Elsevier BV; Volume: 54-57; Linguagem: Inglês

10.1016/0304-8853(86)90198-8

1873-4766

Daniel Friedan, Zongan Qiu, Stephen H. Shenker,

Quantum chaos and dynamical systems

Abstract Systems at their critical point are invariant under changes of scale. If these systems have local couplings they should also respond simply to local scale transformations, i.e., conformal transformations. In two dimensions the algebra of such transformations is exceptionally large (infinite dimensional) and provides, in conjunction with positivity requirements, strong constraints on allowed values of critical exponents. These ideas have close connections to the theory of strings.