Work

Integrability and renormalizability for the fully anisotropic SU(2) principal chiral field and its deformations

Year: 2024

Type: article

Abstract: A bstract For the class of 1 + 1 dimensional field theories referred to as the non-linear sigma models, there is known to be a deep connection between classical integrability and one-loop renormalizability. In this work, the phenomenon is reviewed on the example of the so-called fully anisotropic SU(2) Principal Chiral Field (PCF). Along the way, we discover a new classically integrable four parameter family of sigma models, which is obtained from the fully anisotropic SU(2) PCF by means of the Poisson-Lie deformation. The theory turns out to be one-loop renormalizable and the system of ODEs describing the flow of the four couplings is derived. Also provided are explicit analytical expressions for the full set of functionally independent first integrals (renormalization group invariants).

Source: Journal of High Energy Physics

DOI: 10.1007/jhep08(2024)239

Authors: Gleb A. Kotousov, Daria A. Shabetnik

Institutions: Leibniz University Hannover, Rutgers, The State University of New Jersey

Language: English

Topic: Nonlinear Waves and Solitons

Subfield: Statistical and Nonlinear Physics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: diamond

Funder: National Science Foundation

Award: Research in Integrable Quantum Field Theory