Geodesic
Quasirenormalizable quantum field theories
Teoretičeskaâ i matematičeskaâ fizika, Tome 200 (2019) no. 2, pp. 290-309

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Leading logarithms in massless nonrenormalizable effective field theories can be computed using nonlinear recurrence relations. These recurrence relations follow from the fundamental requirements of unitarity, analyticity, and crossing symmetry of scattering amplitudes and generalize the renormalization group technique to the case of nonrenormalizable effective field theories. We review the existing exact solutions of nonlinear recurrence relations relevant for field theory applications. We introduce a new class of quantum field theories (quasirenormalizable field theories) in which resumming leading logarithms for $2\to2$ scattering amplitudes yields a possibly infinite number of Landau poles.
Keywords: renormalization group, effective field theory, leading logarithm, Dixon elliptic function.
Mots-clés : Landau pole 
@article{TMF_2019_200_2_a9,
     author = {M. V. Polyakov and K. M. Semenov-Tian-Shansky and A. O. Smirnov and A. A. Vladimirov},
     title = {Quasirenormalizable quantum field theories},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {290--309},
     publisher = {mathdoc},
     volume = {200},
     number = {2},
     year = {2019},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_2019_200_2_a9/}
}
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M. V. Polyakov; K. M. Semenov-Tian-Shansky; A. O. Smirnov; A. A. Vladimirov. Quasirenormalizable quantum field theories. Teoretičeskaâ i matematičeskaâ fizika, Tome 200 (2019) no. 2, pp. 290-309. http://geodesic.mathdoc.fr/item/TMF_2019_200_2_a9/