DGLAP-BFKL duality from QCD to quantum computers

DGLAP integro-differential equation can be solved by applying certain map in the complex plane of Mellin moments. It may be re-written as Schrödinger equation for $n$ particles. By applying another map in the complex plane of Mellin moment we may re-write the DGLAP equation as a dual DGLAP equation. Regge limit of the dual DGLAP equation coincides with BFKL integro-differential equation which in turn is the Regge limit of optic theorem in quantum field theory and may be re-written as another Schrödinger equation. This means that the BFKL equation and the corresponding Schrödinger equation may be solved by the proposed method of complex mapping in the complex plane of Mellin moments. This approach may be useful in solving tasks related to quantum communication processes.

Publication Details

Journal
ArXiv.org
Published
2025-09-04
Primary Topic
Geochemistry and Geologic Mapping
Type
article
Field-Weighted Citation Impact
0.00
Controls
|||
ALL TIME
JAN
FEB
MAR
APR
MAY
JUN
JUL
AUG
SEP
OCT
article

DGLAP-BFKL duality from QCD to quantum computers

ArXiv.org
Geochemistry and Geologic Mapping
article

DGLAP-BFKL duality from QCD to quantum computers

article en

Abstract

DGLAP integro-differential equation can be solved by applying certain map in the complex plane of Mellin moments. It may be re-written as Schrödinger equation for $n$ particles. By applying another map in the complex plane of Mellin moment we may re-write the DGLAP equation as a dual DGLAP equation. Regge limit of the dual DGLAP equation coincides with BFKL integro-differential equation which in turn is the Regge limit of optic theorem in quantum field theory and may be re-written as another Schrödinger equation. This means that the BFKL equation and the corresponding Schrödinger equation may be solved by the proposed method of complex mapping in the complex plane of Mellin moments. This approach may be useful in solving tasks related to quantum communication processes.

ArXiv.org
Openalex Percentile: Top 51%
Geochemistry and Geologic Mapping
AI Navigator

Ask Laika to Summarize, Analyze, and Connect papers live on the map.

Summarize Papers & Methodologies

Extract key findings, datasets, and comparative methods across publications.

Benchmark Rankings & Visual Analytics

Rank top research institutions, authors, funders, topics, and journals by Field-Weighted Citation Impact (FWCI) and paper volume with instant charts.

Connect Distant Disciplines

Bridge topological clusters on the map to find hidden collaborative intersections.

DGLAP-BFKL duality from QCD to quantum computers · ArXiv.org (2025) | TGRS Research Map | TGRS