Anomalies in spaces of even and odd dimensions in the scheme of stochastic quantization
Teoretičeskaâ i matematičeskaâ fizika, Tome 73 (1987) no. 3, pp. 362-378
Voir la notice de l'article provenant de la source Math-Net.Ru
On the basis of stochastic quantization method with the generalised scheme of
stochastic regularization, axial anomalies in even- and odd-dimensional spaces are
studied. Although stochastic regularization preserves formally axial and gauge symmetries,
the standard even-dimensional axial anomalies of Dirac fermions are correctly
reproduced in the limit of taking-off the regularization, while the anomalies of chiral
fermions are reproduced in the covariant form. General conditions of existence and
compensation of the anomalies of massless fermions violating the parity in odd-dimensional
spaces are analysed. The stochastic scheme in odd-dimensional spaces in working
when the anomalies violating the parity are absent. $P$-anomalous part of the effective
action of infinitely heavy fermions in odd-dimensional spaces is explicitely calculated.
@article{TMF_1987_73_3_a3,
author = {\'Ed. Sh. Egoryan and \'E. R. Nissimov and S. Pacheva},
title = {Anomalies in spaces of even and odd dimensions in the scheme of stochastic quantization},
journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
pages = {362--378},
publisher = {mathdoc},
volume = {73},
number = {3},
year = {1987},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TMF_1987_73_3_a3/}
}
TY - JOUR AU - Éd. Sh. Egoryan AU - É. R. Nissimov AU - S. Pacheva TI - Anomalies in spaces of even and odd dimensions in the scheme of stochastic quantization JO - Teoretičeskaâ i matematičeskaâ fizika PY - 1987 SP - 362 EP - 378 VL - 73 IS - 3 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/TMF_1987_73_3_a3/ LA - ru ID - TMF_1987_73_3_a3 ER -
%0 Journal Article %A Éd. Sh. Egoryan %A É. R. Nissimov %A S. Pacheva %T Anomalies in spaces of even and odd dimensions in the scheme of stochastic quantization %J Teoretičeskaâ i matematičeskaâ fizika %D 1987 %P 362-378 %V 73 %N 3 %I mathdoc %U http://geodesic.mathdoc.fr/item/TMF_1987_73_3_a3/ %G ru %F TMF_1987_73_3_a3
Éd. Sh. Egoryan; É. R. Nissimov; S. Pacheva. Anomalies in spaces of even and odd dimensions in the scheme of stochastic quantization. Teoretičeskaâ i matematičeskaâ fizika, Tome 73 (1987) no. 3, pp. 362-378. http://geodesic.mathdoc.fr/item/TMF_1987_73_3_a3/