Polyakov, M. V. and Semenov-Tian-Shansky, K. M. and Smirnov, A. O. and Vladimirov, A. A. (2019) Quasirenormalizable Quantum Field Theories. THEORETICAL AND MATHEMATICAL PHYSICS, 200 (2). pp. 1176-1192. ISSN 0040-5779, 1573-9333
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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 -> 2 scattering amplitudes yields a possibly infinite number of Landau poles.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | CHIRAL LOGARITHMS; SIGMA-MODEL; EQUATIONS; LOGS; renormalization group; effective field theory; leading logarithm; Landau pole; Dixon elliptic function |
| Subjects: | 500 Science > 530 Physics |
| Divisions: | Physics > Institute of Theroretical Physics |
| Depositing User: | Dr. Gernot Deinzer |
| Date Deposited: | 01 Apr 2020 10:55 |
| Last Modified: | 01 Apr 2020 10:55 |
| URI: | https://pred.uni-regensburg.de/id/eprint/26494 |
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