Результаты исследований: Научные публикации в периодических изданиях › статья
FEYNMAN PERTURBATION THEORY FOR GAUGE THEORY ON TRANSVERSE LATTICE. / Karnevskiy, M. S.; Paston, S. A.
в: International Journal of Modern Physics A, Том 25, № 18-19, 2010.Результаты исследований: Научные публикации в периодических изданиях › статья
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TY - JOUR
T1 - FEYNMAN PERTURBATION THEORY FOR GAUGE THEORY ON TRANSVERSE LATTICE
AU - Karnevskiy, M. S.
AU - Paston, S. A.
PY - 2010
Y1 - 2010
N2 - Feynman perturbation theory for nonabelian gauge theory in light-like gauge is investigated. A lattice along two space-like directions is used as a gauge invariant ultraviolet regularization. For preservation of the polinomiality of action we use as independent variables arbitrary (non-unitary) matrices related to the link of the lattice. The action of the theory is selected in such a way to preserve as much as possible the rotational invariance, which remains after introduction of the lattice, as well as to make superfluous degrees of freedom vanish in the limit of removing the regularization. Feynman perturbation theory is constructed and diagrams which does not contain ultraviolet divergences are analyzed. The scheme of renormalization of this theory is discussed.
AB - Feynman perturbation theory for nonabelian gauge theory in light-like gauge is investigated. A lattice along two space-like directions is used as a gauge invariant ultraviolet regularization. For preservation of the polinomiality of action we use as independent variables arbitrary (non-unitary) matrices related to the link of the lattice. The action of the theory is selected in such a way to preserve as much as possible the rotational invariance, which remains after introduction of the lattice, as well as to make superfluous degrees of freedom vanish in the limit of removing the regularization. Feynman perturbation theory is constructed and diagrams which does not contain ultraviolet divergences are analyzed. The scheme of renormalization of this theory is discussed.
KW - Transverse lattice
KW - perturbation theory
KW - Light Front
KW - gauge theory
KW - ultraviolet regularization.
U2 - 10.1142/S0217751X10049244
DO - 10.1142/S0217751X10049244
M3 - Article
VL - 25
JO - International Journal of Modern Physics A
JF - International Journal of Modern Physics A
SN - 0217-751X
IS - 18-19
ER -
ID: 8148169