A microscopic stochastic field theory for nonlinear pomeron--odderon evolution based on a Doi--Peliti framework
Abstract
We construct a reaction-based microscopic realisation of nonlinear pomeron--odderon evolution in rapidity and impact-parameter space. Using the Doi--Peliti formalism, we derive the master equations, their operator representation, the exact hierarchy of factorial moments, and the coherent-state functional integral. The construction admits normalised complex configuration weights while retaining the algebraic conservation law of the gain--loss generator. Pomeron branching and merging yield the complex logistic equation \cite{Kohara:2026} under mean-field factorisation. Pomeron-catalysed odderon branching and ternary odderon fusion provide an odd sector whose evolution is driven by the pomeron background. Without transverse diffusion, the resulting equations admit an analytical solution in quadrature, allowing us to examine amplification, phase evolution, and nonlinear regulation. A specified matching between the first moments and the even and odd scattering profiles connects this evolution to elastic-scattering observables. Illustrative initial conditions produce a nonmonotonic forward ratio and a splitting between the pp and pp̅ channels, while the interference near a diffractive minimum remains sensitive to the relative phases and transverse profiles. These examples illustrate the effective dynamics without constituting a fit to data or a general proof of scattering unitarity.
Related
- Microscopic Derivation of Stochastic Thin-Film Equation and Extensions to Two-Layer and Evaporating Films
- N = 32 Shell Evolution in Calcium Isotopes: Evidence from Macroscopic to Microscopic Models
- The Pomeron loop as a perturbative correction to single Pomeron exchange revisited
- Microscopic magnetic phase evolution in the Weyl semimetal Mn3Sn revealed by μ+SR
- Systematic calculations of β-delayed fission probabilities using a microscopic framework
BibTeX
@misc{kohara2026microscopic,
title = {{A microscopic stochastic field theory for nonlinear pomeron--odderon evolution based on a Doi--Peliti framework}},
author = {Anderson Kendi Kohara},
howpublished = {arXiv},
year = {2026},
month = nov,
doi = {10.48550/arxiv.2611.00268},
eprint = {2611.00268},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2611.00268},
}
RIS
TY - UNPB
TI - A microscopic stochastic field theory for nonlinear pomeron--odderon evolution based on a Doi--Peliti framework
AU - Anderson Kendi Kohara
PY - 2026
DA - 2026/11/01
PB - arXiv
DO - 10.48550/arxiv.2611.00268
UR - https://arxiv.org/abs/2611.00268
AB - We construct a reaction-based microscopic realisation of nonlinear pomeron--odderon evolution in rapidity and impact-parameter space. Using the Doi--Peliti formalism, we derive the master equations, their operator representation, the exact hierarchy of factorial moments, and the coherent-state functional integral. The construction admits normalised complex configuration weights while retaining the algebraic conservation law of the gain--loss generator. Pomeron branching and merging yield the complex logistic equation \cite{Kohara:2026} under mean-field factorisation. Pomeron-catalysed odderon branching and ternary odderon fusion provide an odd sector whose evolution is driven by the pomeron background. Without transverse diffusion, the resulting equations admit an analytical solution in quadrature, allowing us to examine amplification, phase evolution, and nonlinear regulation. A specified matching between the first moments and the even and odd scattering profiles connects this evolution to elastic-scattering observables. Illustrative initial conditions produce a nonmonotonic forward ratio and a splitting between the pp and pp̅ channels, while the interference near a diffractive minimum remains sensitive to the relative phases and transverse profiles. These examples illustrate the effective dynamics without constituting a fit to data or a general proof of scattering unitarity.
ER -