Approach to Quantum Group deformed Quantum Field Theory
Abstract
In quantum field theory the creation and annihilation operators that are located at the points in 3momentum space have commutation relations that are conserved under the action of a $U({\infty})$ group. Here it is shown how to define an appropriate $U_q({\infty})$ which then leads to deformed commutation relations. A formalism that was previously defined for quantum group symmetric quantum mechanics can be applied by imposing simple adjustments. The simplest example of a free scalar $q$bosonic field is discussed. The deformation occurs as a multiparticle effect, which introduces a kinetic energy (i.e. $({\vec{p}})^2$)  ordering of the involved particles.
 Publication:

arXiv eprints
 Pub Date:
 November 1992
 arXiv:
 arXiv:hepth/9211023
 Bibcode:
 1992hep.th...11023K
 Keywords:

 High Energy Physics  Theory
 EPrint:
 6 pages