Details
| Original language | English |
|---|---|
| Article number | 239 |
| Number of pages | 23 |
| Journal | Journal of high energy physics |
| Volume | 8 |
| Issue number | 239 |
| Publication status | Published - 30 Aug 2024 |
Abstract
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).
Keywords
- Integrable Field Theories, Sigma Models
ASJC Scopus subject areas
- Physics and Astronomy(all)
- Nuclear and High Energy Physics
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In: Journal of high energy physics, Vol. 8, No. 239, 239, 30.08.2024.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - Integrability and renormalizability for the fully anisotropic SU(2) principal chiral field and its deformations
AU - Kotousov, Gleb A.
AU - Shabetnik, Daria A.
N1 - Publisher Copyright: © The Author(s) 2024.
PY - 2024/8/30
Y1 - 2024/8/30
N2 - 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).
AB - 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).
KW - Integrable Field Theories
KW - Sigma Models
UR - http://www.scopus.com/inward/record.url?scp=85202709697&partnerID=8YFLogxK
U2 - 10.1007/JHEP08(2024)239
DO - 10.1007/JHEP08(2024)239
M3 - Article
AN - SCOPUS:85202709697
VL - 8
JO - Journal of high energy physics
JF - Journal of high energy physics
SN - 1029-8479
IS - 239
M1 - 239
ER -