Geodesic
Feynman integrals of $p$-adic argument in momentum space III. Renormalization
Teoretičeskaâ i matematičeskaâ fizika, Tome 106 (1996) no. 2, pp. 233-249 Cet article a éte moissonné depuis la source Math-Net.Ru

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The ultraviolet and infrared sequences of the poles for the massless Feynman integrals of $p$-adic argument with the arbitrary power of propagators are found. Within the framework of MS-scheme for the analytic $R^*$-operation it is proved that the renormalized amplitudes are finite. Simple formulas for the calculation of counterterms (vertex parts) in coordinate and momentum spaces are given. 
@article{TMF_1996_106_2_a4,
     author = {\'E. Yu. Lerner},
     title = {Feynman integrals of $p$-adic argument in momentum {space~III.} {Renormalization}},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {233--249},
     year = {1996},
     volume = {106},
     number = {2},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1996_106_2_a4/}
}
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É. Yu. Lerner. Feynman integrals of $p$-adic argument in momentum space III. Renormalization. Teoretičeskaâ i matematičeskaâ fizika, Tome 106 (1996) no. 2, pp. 233-249. http://geodesic.mathdoc.fr/item/TMF_1996_106_2_a4/

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