Geodesic
Feynman integrals of $p$-adic argument in momentum space II. Explicit formulae
Teoretičeskaâ i matematičeskaâ fizika, Tome 104 (1995) no. 3, pp. 371-392 Cet article a éte moissonné depuis la source Math-Net.Ru

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A procedure of finding of explicit expressions for Feynman integrals of $p$-adic argument in momentum space representation is described. The connection with Feynman amplitudes on finite fields and with chromatic polynomials is established. The explicit formulae for integrals by domains of the big and small momenta is derived. 
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     author = {\'E. Yu. Lerner},
     title = {Feynman integrals of $p$-adic argument in momentum {space~II.} {Explicit} formulae},
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     pages = {371--392},
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     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1995_104_3_a0/}
}
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É. Yu. Lerner. Feynman integrals of $p$-adic argument in momentum space II. Explicit formulae. Teoretičeskaâ i matematičeskaâ fizika, Tome 104 (1995) no. 3, pp. 371-392. http://geodesic.mathdoc.fr/item/TMF_1995_104_3_a0/

[1] Lerner E. Yu., TMF, 102:3 (1995), 367–377 | MR | Zbl

[2] Bogolyubov N. N., Shirkov D. V., Vvedenie v teoriyu kvantovannykh polei, Nauka, M., 1984 | MR

[3] Zavyalov O. I., Perenormirovannye diagrammy Feinmana, Nauka, M., 1979 | MR

[4] Smirnov V. A., Perenormirovka i asimptoticheskie razlozheniya feinmanovskikh amplitud, Izd-vo MGU, M., 1990 | MR

[5] Lerner E. Yu., Missarov M. D., Commun. Math. Phys., 121 (1989), 35–48 | DOI | MR | Zbl

[6] Smirnov V. A., Commun. Math. Phys., 149 (1992), 623–636 | DOI | MR | Zbl

[7] Missarov M. D., Dynamical systems and statistical mechanics, Adv. Sov. Math., 3, ed. Ya. G. Sinai, Amer. Matn. Soc., 1991, 143–161 | MR

[8] Smirnov V. A., Mod. Phys. Lett. A, 6 (1991), 1421–1427 | DOI | MR | Zbl

[9] Lerner E. Yu., Abstracts of repots of the International Conference in honour of N. G. Chebotarev, Part II, Kazan State University, Kazan, 1994, 175–176

[10] Spear E., Ann. Inst. H. Poincare, 23 (1973), 1–21

[11] Tutte W. T., Canad. J. Math., 6 (1954), 80–97 | DOI | MR

[12] Welsh D. J. A., Nieuw. Arch. Wisk, 28:2 (1980), 159–176 | MR | Zbl

[13] Uilson F., Vvedenie v teoriyu grafov, Mir, M., 1977 | MR

[14] Aigner M., Kombinatornaya teoriya, Mir, M., 1982 | MR

[15] Meison Dzh. Kh., Problemy kombinatornogo analiza. Sb. statei, Mir, M., 1982, 7–50

[16] Malyshev V. A., Minlos R. A., Gibbsovskie sluchainye polya, Nauka, M., 1985 | MR

[17] Bekster R., Tochno reshaemye modeli v statisticheskoi mekhanike, Mir, M., 1985 | MR

[18] Ope O., Teoriya grafov, Nauka, M., 1980 | MR

[19] Bleher P. M., Trans. Coll. “Random Field”, Budapest, 1980 | Zbl