Proof of conformal invariance in the critical regime for models of Gross--Neveu type
Teoretičeskaâ i matematičeskaâ fizika, Tome 92 (1992) no. 3, pp. 486-497
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It is shown that for all multiplicatively renormalizable fermionic models without derivativs in the interaction, in particular, for the Gross–Neveu model, conformal invariance of the Green's functions of the fields in the critical regime (massless model at fixed renormalization-group point) automatically follows from the scale invariance for arbitrary space dimension.
@article{TMF_1992_92_3_a10,
author = {A. N. Vasil'ev and S. \`E. Derkachev and N. A. Kivel' and A. S. Stepanenko},
title = {Proof of conformal invariance in the critical regime for models of {Gross--Neveu} type},
journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
pages = {486--497},
publisher = {mathdoc},
volume = {92},
number = {3},
year = {1992},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TMF_1992_92_3_a10/}
}
TY - JOUR AU - A. N. Vasil'ev AU - S. È. Derkachev AU - N. A. Kivel' AU - A. S. Stepanenko TI - Proof of conformal invariance in the critical regime for models of Gross--Neveu type JO - Teoretičeskaâ i matematičeskaâ fizika PY - 1992 SP - 486 EP - 497 VL - 92 IS - 3 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/TMF_1992_92_3_a10/ LA - ru ID - TMF_1992_92_3_a10 ER -
%0 Journal Article %A A. N. Vasil'ev %A S. È. Derkachev %A N. A. Kivel' %A A. S. Stepanenko %T Proof of conformal invariance in the critical regime for models of Gross--Neveu type %J Teoretičeskaâ i matematičeskaâ fizika %D 1992 %P 486-497 %V 92 %N 3 %I mathdoc %U http://geodesic.mathdoc.fr/item/TMF_1992_92_3_a10/ %G ru %F TMF_1992_92_3_a10
A. N. Vasil'ev; S. È. Derkachev; N. A. Kivel'; A. S. Stepanenko. Proof of conformal invariance in the critical regime for models of Gross--Neveu type. Teoretičeskaâ i matematičeskaâ fizika, Tome 92 (1992) no. 3, pp. 486-497. http://geodesic.mathdoc.fr/item/TMF_1992_92_3_a10/