The $1/n$ expansion in the Gross--Neveu model: Conformal bootstrap calculation of the index $\eta$ in order $1/n^3$
Teoretičeskaâ i matematičeskaâ fizika, Tome 94 (1993) no. 2, pp. 179-192
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Using the conformal invariance of the Green's functions for the fields in the Gross–Neveu model in the critical regime that was proved earlier, we now use the conformal-bootstrap method for arbitrary space dimension $d$ to calculate the critical dimension of the master field (index \ifmmode \eta \else $\eta$\fi) in order $1/n^3$ and of the auxiliary field in order $1/n^2$, i. e., to an order higher by one than the previously known results.
@article{TMF_1993_94_2_a0,
author = {A. N. Vasil'ev and S. \`E. Derkachev and N. A. Kivel' and A. S. Stepanenko},
title = {The $1/n$ expansion in the {Gross--Neveu} model: {Conformal} bootstrap calculation of the index $\eta$ in order $1/n^3$},
journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
pages = {179--192},
publisher = {mathdoc},
volume = {94},
number = {2},
year = {1993},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TMF_1993_94_2_a0/}
}
TY - JOUR AU - A. N. Vasil'ev AU - S. È. Derkachev AU - N. A. Kivel' AU - A. S. Stepanenko TI - The $1/n$ expansion in the Gross--Neveu model: Conformal bootstrap calculation of the index $\eta$ in order $1/n^3$ JO - Teoretičeskaâ i matematičeskaâ fizika PY - 1993 SP - 179 EP - 192 VL - 94 IS - 2 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/TMF_1993_94_2_a0/ LA - ru ID - TMF_1993_94_2_a0 ER -
%0 Journal Article %A A. N. Vasil'ev %A S. È. Derkachev %A N. A. Kivel' %A A. S. Stepanenko %T The $1/n$ expansion in the Gross--Neveu model: Conformal bootstrap calculation of the index $\eta$ in order $1/n^3$ %J Teoretičeskaâ i matematičeskaâ fizika %D 1993 %P 179-192 %V 94 %N 2 %I mathdoc %U http://geodesic.mathdoc.fr/item/TMF_1993_94_2_a0/ %G ru %F TMF_1993_94_2_a0
A. N. Vasil'ev; S. È. Derkachev; N. A. Kivel'; A. S. Stepanenko. The $1/n$ expansion in the Gross--Neveu model: Conformal bootstrap calculation of the index $\eta$ in order $1/n^3$. Teoretičeskaâ i matematičeskaâ fizika, Tome 94 (1993) no. 2, pp. 179-192. http://geodesic.mathdoc.fr/item/TMF_1993_94_2_a0/