Geodesic
Generalized effective potential in nonlinear theories of fourth order
Teoretičeskaâ i matematičeskaâ fizika, Tome 49 (1981) no. 1, pp. 26-35 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

Legendre transformations are used to construct a generalized effective potential $\Gamma(\varphi,G,H,S)$ which depends on the vacuum expectation value of the field, the two- and three-point connected Green's functions $G$ and $H$, and the vacuum expectation $S=\langle0|S_{\text{cl}}|0\rangle$ of the classical action. An expansion is obtained for $\Gamma(\varphi,G,H,S)$ analogous to the loop expansion of the effective action $\Gamma(\varphi)$. 
@article{TMF_1981_49_1_a1,
     author = {N. S. Ananikyan and G. K. Savvidi},
     title = {Generalized effective potential in nonlinear theories of fourth order},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {26--35},
     year = {1981},
     volume = {49},
     number = {1},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1981_49_1_a1/}
}
TY  - JOUR
AU  - N. S. Ananikyan
AU  - G. K. Savvidi
TI  - Generalized effective potential in nonlinear theories of fourth order
JO  - Teoretičeskaâ i matematičeskaâ fizika
PY  - 1981
SP  - 26
EP  - 35
VL  - 49
IS  - 1
UR  - http://geodesic.mathdoc.fr/item/TMF_1981_49_1_a1/
LA  - ru
ID  - TMF_1981_49_1_a1
ER  - 
%0 Journal Article
%A N. S. Ananikyan
%A G. K. Savvidi
%T Generalized effective potential in nonlinear theories of fourth order
%J Teoretičeskaâ i matematičeskaâ fizika
%D 1981
%P 26-35
%V 49
%N 1
%U http://geodesic.mathdoc.fr/item/TMF_1981_49_1_a1/
%G ru
%F TMF_1981_49_1_a1
N. S. Ananikyan; G. K. Savvidi. Generalized effective potential in nonlinear theories of fourth order. Teoretičeskaâ i matematičeskaâ fizika, Tome 49 (1981) no. 1, pp. 26-35. http://geodesic.mathdoc.fr/item/TMF_1981_49_1_a1/

[1] Batalin I. A., Matinian S. G., Savvidy G. K., Yad. Fiz., 26 (1977), 407–416

[2] Savvidy G. K., Phys. Lett., 71B:1 (1977), 133–134 | DOI | MR

[3] Matinian S. G., Savvidy G. K., Nucl. Phys., B134 (1978), 539–545 | DOI

[4] Nielsen H., Ollsen P., Nucl. Phys., B160 (1979), 380–394 | DOI

[5] Savvidy G. K., The relation between the parameters of QCD and MIT bag model, Preprint YPI-419/26/-80, YPI, Yerevan, 1980

[6] Vasilev A. N., Funktsionalnye metody v kvantovoi teorii polya i statistike, LGU, L., 1976

[7] Ananikyan N. S., Savvidi G. K., YaF, 32:5 (1980), 1439–1445

[8] Gross D., Neveu A., Phys. Rev., D10:10 (1974), 3235–3253

[9] Anselm A. A., ZhETF, 36 (1959), 863–868 | MR | Zbl

[10] Cornwall J., Jackiw R., Tomboulis E., Phys. Rev., D10 (1974), 2429–2441

[11] Matinyan S. G., Savvidi G. K., YaF, 25:1 (1977), 218–226