Equations for higher Legendre transforms in terms of 1-irreducible vertices
Teoretičeskaâ i matematičeskaâ fizika, Tome 19 (1974) no. 2, pp. 186-200
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For the functional Legendre transforms [2, 3] of arbitrary order equations are obtained in which 1-irreducible (and not simply connected) vertices are regarded as independent variables; their iterative solution is represented by skeleton graphs with 1-irreducible $n$-leg diagrams at their vertices. In this manner any $n$-leg vertex can be represented as the sum of a “bare” vertex and skeleton graphs of this type.
@article{TMF_1974_19_2_a4,
author = {A. N. Vasil'ev and A. K. Kazanskii and Yu. M. Pis'mak},
title = {Equations for higher {Legendre} transforms in terms of 1-irreducible vertices},
journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
pages = {186--200},
year = {1974},
volume = {19},
number = {2},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TMF_1974_19_2_a4/}
}
TY - JOUR AU - A. N. Vasil'ev AU - A. K. Kazanskii AU - Yu. M. Pis'mak TI - Equations for higher Legendre transforms in terms of 1-irreducible vertices JO - Teoretičeskaâ i matematičeskaâ fizika PY - 1974 SP - 186 EP - 200 VL - 19 IS - 2 UR - http://geodesic.mathdoc.fr/item/TMF_1974_19_2_a4/ LA - ru ID - TMF_1974_19_2_a4 ER -
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A. N. Vasil'ev; A. K. Kazanskii; Yu. M. Pis'mak. Equations for higher Legendre transforms in terms of 1-irreducible vertices. Teoretičeskaâ i matematičeskaâ fizika, Tome 19 (1974) no. 2, pp. 186-200. http://geodesic.mathdoc.fr/item/TMF_1974_19_2_a4/