Stochastic bosonization in arbitrary dimensions
/ Authors
/ Abstract
. A procedure of bosonization of Fermions in an arbitrary dimension is suggested. It is shown that a quadratic expression in the fermionic fields after rescaling time t → t/λ 2 and performing the limit λ → 0 (stochastic limit), gives rise to a bosonic operator satisfying the boson canonical commutation relations. This stochastic bosonization of Fermions is considered first for free fields and then for a model with three–linear couplings. limiting dynamics of the bosonic theory turns out to be described by means of a quantum stochastic differential equations.