The implications of conformal invariance, as relevant in quantum field theories at a renormalisation group fixed point, are analysed with particular reference to results for correlation functions involving conserved currents and the energy momentum tensor. Ward identities resulting from conformal invariance are discussed. Explicit expressions for two and three point functions, which are essenti...

Statistical systems at second-order phase-transition points should exhibit conformal invariance at long distances. Their conformal properties can be analysed by investigating finite-size scaling behaviour. For integrable lattice models in two dimensions, methods are proposed to calculate, from the Bethe ansatz solution, the conformal anomaly c and all scaling dimensions. As an application resul...

We investigate the relation between dilatation and conformal symmetries in statistical mechanics of flexible crystalline membranes. analyze, particular, a well-known model which describes fluctuations continuum elastic medium embedded higher-dimensional space. In this theory, renormalization group flow connects non-interacting ultraviolet fixed point, where theory is controlled by linear elasti...