Constructive field theory: Thirring model interaction $(\widetilde\psi\gamma^{\mu}\widetilde\psi)_2^2$. I.~Local field
Teoretičeskaâ i matematičeskaâ fizika, Tome 9 (1971) no. 2, pp. 211-231
Voir la notice de l'article provenant de la source Math-Net.Ru
Self-interacting ferrhion field with a zero rest mass in two-dimensional space-time
is investigated by methods of the so called constructive field theory. The renormalized
Hamiltonian including cut-off formfactors and counter-terms of a definite structure and
the Heisenberg field corresponding to this Hamiltonian are constructed. The space of
physical particles is explicitly described, in which both the Hamiltonian and the Heisenberg
field admit the removal of the ultraviolet eut-off. The Wightman functions corresponding
to the local field obtained admit the removal of the spatial cut-off. The
form of the counter-terms is found, with which the limit Wightman functions coincide
with those constructed by Klaiber.
@article{TMF_1971_9_2_a3,
author = {I. V. Volovich and V. N. Sushko},
title = {Constructive field theory: {Thirring} model interaction $(\widetilde\psi\gamma^{\mu}\widetilde\psi)_2^2$. {I.~Local} field},
journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
pages = {211--231},
publisher = {mathdoc},
volume = {9},
number = {2},
year = {1971},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TMF_1971_9_2_a3/}
}
TY - JOUR
AU - I. V. Volovich
AU - V. N. Sushko
TI - Constructive field theory: Thirring model interaction $(\widetilde\psi\gamma^{\mu}\widetilde\psi)_2^2$. I.~Local field
JO - Teoretičeskaâ i matematičeskaâ fizika
PY - 1971
SP - 211
EP - 231
VL - 9
IS - 2
PB - mathdoc
UR - http://geodesic.mathdoc.fr/item/TMF_1971_9_2_a3/
LA - ru
ID - TMF_1971_9_2_a3
ER -
%0 Journal Article
%A I. V. Volovich
%A V. N. Sushko
%T Constructive field theory: Thirring model interaction $(\widetilde\psi\gamma^{\mu}\widetilde\psi)_2^2$. I.~Local field
%J Teoretičeskaâ i matematičeskaâ fizika
%D 1971
%P 211-231
%V 9
%N 2
%I mathdoc
%U http://geodesic.mathdoc.fr/item/TMF_1971_9_2_a3/
%G ru
%F TMF_1971_9_2_a3
I. V. Volovich; V. N. Sushko. Constructive field theory: Thirring model interaction $(\widetilde\psi\gamma^{\mu}\widetilde\psi)_2^2$. I.~Local field. Teoretičeskaâ i matematičeskaâ fizika, Tome 9 (1971) no. 2, pp. 211-231. http://geodesic.mathdoc.fr/item/TMF_1971_9_2_a3/