QCD instantons and the soft pomeron

Dmitri Kharzeev; Yuri V. Kovchegov; Eugene Levin

doi:10.1016/S0375-9474(01)00352-9

QCD instantons and the soft pomeron

Dmitri Kharzeev^*, Yuri V. Kovchegov, Eugene Levin

^*Corresponding author for this work

School of Physics and Astronomy

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

Abstract

We study the rôle of semiclassical QCD vacuum solutions in high-energy scattering by considering the instanton contribution to hadronic cross sections. We propose a new type of instanton-induced interactions ("instanton ladder") that leads to the rising with energy cross section σ~s^Δ of Regge type (the pomeron). We argue that this interaction may be responsible for the structure of the soft pomeron. The intercept Δ>0 is calculated. It has a nonanalytic dependence on the strong coupling constant, allowing a nonsingular continuation into the nonperturbative region. We derive the pomeron trajectory, which appears to be approximately linear in some range of (negative) momentum transfer t, but exhibits a curvature at small t. Possible rôle of instantons in multiparticle production is also discussed.

Original language	English
Pages (from-to)	621-646
Number of pages	26
Journal	Nuclear Physics A
Volume	690
Issue number	4
DOIs	https://doi.org/10.1016/S0375-9474(01)00352-9
State	Published - 30 Jul 2001

Keywords

12.38.-t
12.38.Lg
12.40.Nn
High-energy scattering
Instanton
Nonperturbative QCD
Pomeron
Pomeron trajectory
QCD vacuum

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10.1016/S0375-9474(01)00352-9

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title = "QCD instantons and the soft pomeron",

abstract = "We study the r{\^o}le of semiclassical QCD vacuum solutions in high-energy scattering by considering the instanton contribution to hadronic cross sections. We propose a new type of instanton-induced interactions ({"}instanton ladder{"}) that leads to the rising with energy cross section σ~sΔ of Regge type (the pomeron). We argue that this interaction may be responsible for the structure of the soft pomeron. The intercept Δ>0 is calculated. It has a nonanalytic dependence on the strong coupling constant, allowing a nonsingular continuation into the nonperturbative region. We derive the pomeron trajectory, which appears to be approximately linear in some range of (negative) momentum transfer t, but exhibits a curvature at small t. Possible r{\^o}le of instantons in multiparticle production is also discussed.",

keywords = "12.38.-t, 12.38.Lg, 12.40.Nn, High-energy scattering, Instanton, Nonperturbative QCD, Pomeron, Pomeron trajectory, QCD vacuum",

author = "Dmitri Kharzeev and Kovchegov, {Yuri V.} and Eugene Levin",

note = "Funding Information: This manuscript has been authored under Contract No. DE-AC02-98CH10886 with the US Department of Energy. The research of Yu.K. and E.L. was supported in part by the BSF grant #9800276 and by Israeli Science Foundation, founded by the Israeli Academy of Science and Humanities.",

year = "2001",

month = jul,

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doi = "10.1016/S0375-9474(01)00352-9",

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T1 - QCD instantons and the soft pomeron

AU - Kharzeev, Dmitri

AU - Kovchegov, Yuri V.

AU - Levin, Eugene

N1 - Funding Information: This manuscript has been authored under Contract No. DE-AC02-98CH10886 with the US Department of Energy. The research of Yu.K. and E.L. was supported in part by the BSF grant #9800276 and by Israeli Science Foundation, founded by the Israeli Academy of Science and Humanities.

PY - 2001/7/30

Y1 - 2001/7/30

N2 - We study the rôle of semiclassical QCD vacuum solutions in high-energy scattering by considering the instanton contribution to hadronic cross sections. We propose a new type of instanton-induced interactions ("instanton ladder") that leads to the rising with energy cross section σ~sΔ of Regge type (the pomeron). We argue that this interaction may be responsible for the structure of the soft pomeron. The intercept Δ>0 is calculated. It has a nonanalytic dependence on the strong coupling constant, allowing a nonsingular continuation into the nonperturbative region. We derive the pomeron trajectory, which appears to be approximately linear in some range of (negative) momentum transfer t, but exhibits a curvature at small t. Possible rôle of instantons in multiparticle production is also discussed.

AB - We study the rôle of semiclassical QCD vacuum solutions in high-energy scattering by considering the instanton contribution to hadronic cross sections. We propose a new type of instanton-induced interactions ("instanton ladder") that leads to the rising with energy cross section σ~sΔ of Regge type (the pomeron). We argue that this interaction may be responsible for the structure of the soft pomeron. The intercept Δ>0 is calculated. It has a nonanalytic dependence on the strong coupling constant, allowing a nonsingular continuation into the nonperturbative region. We derive the pomeron trajectory, which appears to be approximately linear in some range of (negative) momentum transfer t, but exhibits a curvature at small t. Possible rôle of instantons in multiparticle production is also discussed.

KW - 12.38.-t

KW - 12.38.Lg

KW - 12.40.Nn

KW - High-energy scattering

KW - Instanton

KW - Nonperturbative QCD

KW - Pomeron

KW - Pomeron trajectory

KW - QCD vacuum

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SN - 0375-9474

VL - 690

SP - 621

EP - 646

JO - Nuclear Physics A

JF - Nuclear Physics A

IS - 4

ER -

QCD instantons and the soft pomeron

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