  In quantum field theory the creation and annihilation operators that are
located at the points in 3-momentum 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 multi-particle effect, which introduces a kinetic energy (i.e.
$({\vec{p}})^2$) - ordering of the involved particles.
