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

Voir la notice de l'article provenant de la source Math-Net.Ru

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/