Lagrangian quantum field theory in momentum picture. III. Free vector fields
Abstract
Description
Free vector fields, satisfying the Lorenz condition, are investigated in details in the momentum picture of motion in Lagrangian quantum field theory. The field equations are equivalently written in terms of creation and annihilation operators and on their base the commutation relations are derived. Some problems concerning the vacuum and state vectors of free vector field are discussed. Special attention is paid to peculiarities of the massless case; in particular, the electromagnetic field is explored. Several Lagrangians, describing free vector fields, are considered and the basic consequences of them are pointed and compared.
68 LaTeX pages. The packages AMS-LaTeX and amsfonts are required. This paper is a continuation of the e-print E-prints No. hep-th/0402006 and No. hep-th/0405008. For related papers, visit the "publication" pages at http://theo.inrne.bas.bg/~bozho/
68 LaTeX pages. The packages AMS-LaTeX and amsfonts are required. This paper is a continuation of the e-print E-prints No. hep-th/0402006 and No. hep-th/0405008. For related papers, visit the "publication" pages at http://theo.inrne.bas.bg/~bozho/