Relativistic path integral and relativistic Hamiltonians in QCD and QED
High Energy Physics - Phenomenology
2014-01-29 v2 High Energy Physics - Theory
Abstract
The proper-time 4d path integral is used as a starting point to derive the new explicit parametric form of the quark-antiquark Green's function in gluonic and QED fields, entering as a common Wilson loop. The subsequent vacuum averaging of the latter allows to derive the instantaneous Hamiltonian. The explicit form and solutions are given in the case of the mesons in magnetic field.
Keywords
Cite
@article{arxiv.1303.4952,
title = {Relativistic path integral and relativistic Hamiltonians in QCD and QED},
author = {Yu. A. Simonov},
journal= {arXiv preprint arXiv:1303.4952},
year = {2014}
}
Comments
27 pages,2 figures,misprints corrected