Geodesic
Duality in Abelian gauge theories on a lattice
Teoretičeskaâ i matematičeskaâ fizika, Tome 43 (1980) no. 3, pp. 309-322 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

The Kramers–Wannier duality transform for the lattice gauge theory with any locally compact abelian gauge group is constructed. The duality transform is constructed also for any generalised Higgs model on a lattice, the gauge group of which is Abelian and locally compact. 
@article{TMF_1980_43_3_a1,
     author = {Yu. M. Zinoviev},
     title = {Duality {in~Abelian} gauge theories on~a~lattice},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {309--322},
     year = {1980},
     volume = {43},
     number = {3},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1980_43_3_a1/}
}
TY  - JOUR
AU  - Yu. M. Zinoviev
TI  - Duality in Abelian gauge theories on a lattice
JO  - Teoretičeskaâ i matematičeskaâ fizika
PY  - 1980
SP  - 309
EP  - 322
VL  - 43
IS  - 3
UR  - http://geodesic.mathdoc.fr/item/TMF_1980_43_3_a1/
LA  - ru
ID  - TMF_1980_43_3_a1
ER  - 
%0 Journal Article
%A Yu. M. Zinoviev
%T Duality in Abelian gauge theories on a lattice
%J Teoretičeskaâ i matematičeskaâ fizika
%D 1980
%P 309-322
%V 43
%N 3
%U http://geodesic.mathdoc.fr/item/TMF_1980_43_3_a1/
%G ru
%F TMF_1980_43_3_a1
Yu. M. Zinoviev. Duality in Abelian gauge theories on a lattice. Teoretičeskaâ i matematičeskaâ fizika, Tome 43 (1980) no. 3, pp. 309-322. http://geodesic.mathdoc.fr/item/TMF_1980_43_3_a1/

[1] H. A. Kramers, G. H. Wannier, Phys. Rev., 60 (1941), 252 | DOI | MR | Zbl

[2] G. F. Newell, E. W. Montroll, Rev. Mod. Phys., 25 (1953), 353 | DOI | MR | Zbl

[3] F. J. Wegner, J. Math. Phys., 12 (1971), 2259 | DOI | MR

[4] R. Balian, J. M. Drouffe, C. Itzykson, Phys. Rev., D11 (1975), 2098

[5] E. Fradkin, L. Susskind, Phys. Rev., D17 (1978), 2637 | MR

[6] J. M. Drouffe, Phys. Rev., D18 (1978), 1174

[7] C. P. Korthals-Altes, Nucl. Phys., B142 (1978), 315 | DOI

[8] G. Zeifert, V. Trelfall, Topologiya, GONTI, 1938 | MR

[9] P. S. Aleksandrov, Kombinatornaya topologiya, Gostekhizdat, 1947 | MR

[10] A. A. Kirillov, Elementy teorii predstavlenii, «Nauka», 1972 | MR

[11] K. Wilson, Phys. Rev., D10 (1974), 2445

[12] M. B. Einhorn, R. Savit, Phys. Rev., D17 (1978), 2583