Exact summation of leading infrared logarithms in 2D effective field theories

Autor: Jonas Linzen, Maxim V. Polyakov, Kirill M. Semenov-Tian-Shansky, Nika S. Sokolova
Jazyk: angličtina
Rok vydání: 2019
Předmět:
Zdroj: Journal of High Energy Physics, Vol 2019, Iss 4, Pp 1-23 (2019)
Druh dokumentu: article
ISSN: 1029-8479
DOI: 10.1007/JHEP04(2019)007
Popis: Abstract A method of exact all-order summation of leading infrared logarithms in two dimensional massless Φ4-type non-renormalizable effective field theories (EFTs) is developed. The method is applied to the O(N)-symmetric EFT, which is a two-dimensional sibling of the four dimensional O(N + 1)/O(N) sigma-model. For the first time the exact all-order summation of the (E 2ln(1/E)) n contributions (chiral logarithms) for the 2 → 2 scattering amplitudes is performed in closed analytical form. The cases when the resulting amplitudes turn to be meromorphic functions with an infinite number of poles (Landau poles) are identified. This provides the first explicit example of quasi-renormalizable field theories.
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