Actes de conférences
|Boundedness of two-point correlators covariant under the meta-conformal algebra|
|Stoimenov S., Henkel M.|
|Bulg. J. Phys. 44 (2017) 39|
Covariant two-point functions are derived from Ward identities. For several extensions of dynamical scaling, notably Schr\"odinger-invariance, conformal Galilei invariance or meta-conformal invariance, the results become unbounded for large time- or space-separations. Standard ortho-conformal invariance does not have this problem. An algebraic procedure is presented which corrects this difficulty for meta-conformal invariance in $(1+1)$ dimensions. A canonical interpretation of meta-conformally covariant two-point functions as correlators follows. Galilei-conformal correlators can be obtained from meta-conformal invariance through a simple contraction. All these two-point functions are bounded at large separations, for sufficiently positive values of the scaling exponents.