Quasirenormalizable Quantum Field Theories
Abstract
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.
 Publication:

Theoretical and Mathematical Physics
 Pub Date:
 August 2019
 DOI:
 10.1134/S0040577919080105
 arXiv:
 arXiv:1811.08449
 Bibcode:
 2019TMP...200.1176P
 Keywords:

 renormalization group;
 effective field theory;
 leading logarithm;
 Landau pole;
 Dixon elliptic function;
 High Energy Physics  Theory;
 High Energy Physics  Phenomenology
 EPrint:
 21 pages, 2 figures