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

Standard

The reggeon model with the pomeron and odderon: renormalization group approach. / Браун, Михаил Александрович; Кузьминский, Евгений Михайлович; Вязовский, Михаил Иосифович.

In: European Physical Journal C, Vol. 84, No. 8, 790, 10.08.2024.

Research output: Contribution to journal › Article › peer-review

BibTeX

@article{adf1bbe1b7e74295a809928d73ba796e,

title = "The reggeon model with the pomeron and odderon: renormalization group approach",

abstract = "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.",

author = "Браун, {Михаил Александрович} and Кузьминский, {Евгений Михайлович} and Вязовский, {Михаил Иосифович}",

year = "2024",

month = aug,

day = "10",

doi = "10.1140/epjc/s10052-024-13054-4",

language = "English",

volume = "84",

journal = "European Physical Journal C",

issn = "1434-6044",

publisher = "Springer Nature",

number = "8",

}

RIS

TY - JOUR

T1 - The reggeon model with the pomeron and odderon: renormalization group approach

AU - Браун, Михаил Александрович

AU - Кузьминский, Евгений Михайлович

AU - Вязовский, Михаил Иосифович

PY - 2024/8/10

Y1 - 2024/8/10

N2 - 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.

AB - 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.

UR - https://www.mendeley.com/catalogue/4a180bea-c586-3069-b89b-a2060538a474/

U2 - 10.1140/epjc/s10052-024-13054-4

DO - 10.1140/epjc/s10052-024-13054-4

M3 - Article

VL - 84

JO - European Physical Journal C

JF - European Physical Journal C

SN - 1434-6044

IS - 8

M1 - 790

ER -

ID: 124234717