The reggeon model with the pomeron and odderon: renormalization group approach

The Regge–Gribov model of the pomeron and odderon in nontrivial transverse space is studied by the renormalization group technique. The single-loop approximation is adopted. Five real fixed points are found, and the high-energy behavior of the propagators is correspondingly calculated. As without th...

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Bibliographic Details
Published in:The European physical journal. C, Particles and fields Particles and fields, 2024-08, Vol.84 (8), p.790-23, Article 790
Main Authors: Braun, M. A., Kuzminskii, E. M., Vyazovsky, M. I.
Format: Article
Language:English
Subjects:
Approximation
Astronomy
Astrophysics and Cosmology
Coupling
Elementary Particles
Fixed points (mathematics)
Hadrons
Heavy Ions
Measurement Science and Instrumentation
Nuclear Energy
Nuclear Physics
Phase transitions
Physics
Physics and Astronomy
Pomerons
Quantum Field Theories
Quantum Field Theory
Regular Article - Theoretical Physics
String Theory
Theoretical physics
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Summary:The Regge–Gribov model of the pomeron and odderon in nontrivial transverse space is studied by the renormalization group technique. The single-loop approximation is adopted. Five real fixed points are found, and the high-energy behavior of the propagators is correspondingly calculated. As without the odderon, the asymptotic is modulated by logarithms of energy in certain rational powers. Movement of coupling constants away from the fixed points is investigated both analytically (close to the fixed points) and numerically (far away). In the former case, attraction occurs only in restricted domains of initial coupling constants. More generally, in one third of the cases the coupling constants instead grow large, indicating the breakdown of the single-loop approximation.
ISSN:1434-6052
1434-6044
1434-6052
DOI:10.1140/epjc/s10052-024-13054-4