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
Cet article a éte moissonné depuis 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{\textendash}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},
year = {1993},
volume = {94},
number = {2},
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 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 %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/
[1] Vasilev A. N., Derkachev S. E., Kivel N. A., Stepanenko A. S., TMF, 92:3 (1992), 486–497 | MR
[2] Wetzel W., Phys. Lett., 153D (1985), 297 | DOI
[3] Zinn-Justin J., Nucl. Phys., B367 (1991), 105 | DOI | MR
[4] Gat G., Kovner A., Rosenstein B., Phys. Lett., 240B (1990), 158 | DOI
[5] Grecey J. A., Int. J. Mod. Phys., A6 (1991), 395 ; см. также Erratum | DOI
[6] Vasilev A. H., Pismak Yu. M., Khonkonen Yu. R., TMF, 46:2 (1981), 157–171 | MR
[7] Bresin E., Nikami S., J. Phys. A: Math. Gen., 11:6 (1978), 1141–1150 | DOI
[8] Vasilev A. H., Pismak Yu. M., Khonkonen Yu. R., TMF, 50:2 (1982), 195–206
[9] Polyakov A. M., Pisma v ZhETF, 11:11 (1970), 538
[10] Parisi G., Lett. Nuovo Cim., 4:15 (1972), 777 | DOI | MR