Observation of Less Heat Generation and Investigation of Its Effect on the Stability Range of a Nd:YAG Laser

Abstract

We study the renormalisation aspects of a generalised Coulomb gas by means of a novel method of renormalisation. The model corresponds to an XY system with N-fold symmetry breaking perturbation and is cast in a field-theoretical framework.The method uses the operator product expansion and the renormalisation constants are obtained from the singular terms in this expansion as the ultraviolet cutoff is removed. This method clearly exposes the multiplicative renormalisations involved. An expansion in the departure of the Kosterlitz-Thouless temperature, fugacities, and in E = N -4 to third order is performed. We find a non-trivial self-dual fixed point at which the vortex and symmetry breaking fugacities are of order A.The method also allows the identification of a new set of 'fixed-point' theories that d o not undergo renormalisation.