We have extended our previous applications of the method of unitary
clothing transformations (UCTs) in mesodynamics [1,2] to quantum
electrodynamics (QED) [3,4]. An analytical expression for the QED
Hamiltonian in the clothed-particle representation (CPR) has been
derived. Its distinctive feature is the appearance of a new family of
the Hermitian and energy independent interaction operators built up in
the e^2e2-order
for the clothed electrons and positrons instead the primary canonical
interaction between electromagnetic and electron-positron fields. The
problem of describing the bound states in QED in case of the positronium
system has been considered. The first correction to the energy of the
ground state of the para-positronium and its decay rate to two photons
has been calculated by using the new interaction operators.
Abstract. We show new applications of the notion of clothed particles in quantum field theory. Its realization by means of the clothing procedure put forward by Greenberg and Schweber allows one to express the total Hamiltonian H and other generators of the Poincaré group for a given system of interacting fields through the creation (annihilation) operators for the so-called clothed particles with physical (observed) properties. Here such a clothed particle representation is used to calculate the matrix elements (shortly, form factors) of the corresponding Nöther current operators sandwiched between the H eigenstates. Our calculations are performed with help of an iterative technique suggested by us earlier when constructing the NN → πNN transition operators. As an illustration, we outline some application of our approach in the spinor quantum electrodynamics.
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