The Confining String from the Soft Dilaton Theorem

A candidate for the confining string of gauge theories is constructed via a representation of the ultraviolet divergences of quantum field theory by a closed string dilaton insertion, computed through the soft dilaton theorem. The resulting (critical) confining string is conformally invariant, singles out naturally d = 4 dimensions, and can not be used to represent theories with Landau poles. E-mail: [email protected],@cern.ch E-mail: [email protected] Unidad de Investigación Asociada al Centro de F́ısica Miguel Catalán (C.S.I.C.) 1 The simplest way to address the problem of a string representation of a non abelian gauge theory [16] consist in looking for a confining string background, determined by vanishing σ -model beta functions, such that the condition of dilaton beta function equal to zero could be reinterpreted as the standard renormalization group equation: