N ov 1 99 4 A New Quantum Vortex Operator and Its Correlation Functions ∗

v 1 3 0 O ct 1 99 8 Quantum Global Strings and Their Correlation Functions

A full quantum description of global vortex strings is presented in the framework of a pure Higgs system with a broken global U(1) symmetry in 3+1D. An explicit expression for the string creation operator is obtained, both in terms of the Higgs field and in the dual formulation where a Kalb-Ramond antisymmetric tensor gauge field is employed as the basic field. The quantum string correlation fu...

ar X iv : h ep - t h / 98 11 08 5 v 1 9 N ov 1 99 8 Vortex Solutions in the Chern - Simons Stuekelberg Model

N ov 1 99 7 Multiscaling in passive scalar advection as stochastic shape dynamics

The Kraichnan rapid advection model is recast as the stochastic dynamics of tracer trajectories. This framework replaces the random fields with a small set of stochastic ordinary differential equations. Multiscaling of correlation functions arises naturally as a consequence of the geometry described by the evolution of N trajectories. Scaling exponents and scaling structures are interpreted as ...

ua nt - p h / 99 11 11 4 v 1 2 9 N ov 1 99 9 Ladder operator formalisms and generally deformed oscillator algebraic structures of quantum states in Fock space

We show that various kinds of one-photon quantum states studied in the field of quantum optics admit ladder operator formalism and bear generally deformed oscillator algebraic structure. The two-photon case is also considered. We obtain the ladder operator formalisms of two general states defined in the even/odd Fock space. The two-photon states also bear generally deformed oscillator algebraic...

Quantum Global Vortex Strings in a Background Field

We consider quantum global vortex string correlation functions, within the Kalb-Ramond framework, in the presence of a background field-strength tensor and investigate the conditions under which this yields a nontrivial contribution to those correlation functions. We show that a background field must be supplemented to the Kalb-Ramond theory, in order to correctly describe the quantum propertie...