exact summation of leading infrared logarithms in 2d effective field theories

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ID: 161140
2019
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Abstract
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.
Reference Key
linzen2019journalexact Use this key to autocite in the manuscript while using SciMatic Manuscript Manager or Thesis Manager
Authors ;Jonas Linzen;Maxim V. Polyakov;Kirill M. Semenov-Tian-Shansky;Nika S. Sokolova
Journal revista de la asociacion espanola de especialistas en medicina del trabajo
Year 2019
DOI
10.1007/JHEP04(2019)007
URL
http://link.springer.com/article/10.1007/JHEP04(2019)007
Keywords
radioactivity atomic energy

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