Instantons in Deep-Inelastic Scattering - The Simplest Process -

Abstract

Instanton calculations in QCD are generically plagued by infrared divergencies associated with the integration over the instanton size $\rho$. Here, we demonstrate explicitly that the typical inverse hard momentum scale ${\mathcal{Q}}^{-1}$ in deep-inelastic scattering provides a dynamical infrared cutoff for the size parameter $\rho$. Hence, deep-inelastic scattering may be viewed as a distinguished process for studying manifestations of QCD-instantons. For clarity, we restrict the explicit discussion to the simplest chirality-violating process, ${\gamma }^{\ast }+\mathrm{g}\to \overline{{\mathrm{q}}_L}+{\mathrm{q}}_R$. We calculate the corresponding fixed angle cross-section as well as the contributions to the gluon structure functions, ${\mathcal{F}}_{2g}$ and ${\mathcal{F}}_{Lg}$, within standard instanton perturbation theory in leading semi-classical approximation. To this approximation, fixed-angle scattering processes at high $Q^2$ are reliably calculable. In the Bjorken limit, the considered instanton-induced process gives a scaling contribution to ${\mathcal{F}}_{2g}(x,Q^2)$ and the Callan-Gross relation holds.

28 pages, LaTeX2e, epsfig, 5 Postscript figures

References in corpus (5)

• Instanton contributions to the $\tau$ decay widths
• Instanton-induced contributions to structure functions of deep inelastic scattering
• Charged Particle Multiplicities in Deep Inelastic Scattering at HERA
• Strangeness Production in Deep-Inelastic Positron-Proton Scattering at HERA
• Fermions, Anomaly and Unitarity in High-Energy Electroweak Scattering

Cited by in corpus (51)

• The effects of topological charge change in heavy ion collisions: "Event by event P and CP violation"
• Charge separation induced by P-odd bubbles in QCD matter
• Instantons at work
• Moments of Nucleon Light Cone Quark Distributions Calculated in Full Lattice QCD
• Confronting Instanton Perturbation Theory with QCD Lattice Results
• Direct instantons, topological charge screening and QCD glueball sum rules
• The Hadronic Final State at HERA
• Instanton-Induced Cross-Sections in Deep-Inelastic Scattering
• Electroweak instantons/sphalerons at VLHC?
• QCDINS 2.0 - A Monte Carlo generator for instanton-induced processes in deep-inelastic scattering
• Forced Tunneling and Turning State Explosion in Pure Yang-Mills Theory
• Tracking QCD-Instantons
• Pion and Kaon parton distributions in the QCD instanton vacuum
• Electroweak instantons as a solution to the ultrahigh energy cosmic ray puzzle
• Zooming-in on Instantons at HERA
• Factorisation, Parton Entanglement and the Drell-Yan Process
• A Multi-variate Discrimination Technique Based on Range-Searching
• Instantons in the Saturation Environment
• QCD Instantons and High-Energy Diffractive Scattering
• Nonperturbative quark-antiquark interactions in mesonic form factors
• Search for QCD-instanton induced events in deep inelastic ep scattering at HERA
• The semi-classical approximation at high temperature revisited
• Instanton-induced Azimuthal Spin Asymmetry in Deep Inelastic Scattering
• Anomalous Quark Chromomagnetic Moment and Single-Spin Asymmetries
• Instanton Contribution to the Quark Form Factor
• Implications of CP-violating transitions in hot quark matter on heavy ion collisions
• Twist-4 contribution to unpolarized structure functions F_L and F_2 from instantons
• The Pauli form factor of the quark induced by instantons
• Single Spin Asymmetry through QCD Instantons
• On the phenomenology of sphaleron-induced processes at the LHC and beyond
• Large Effects from Small QCD Instantons: Making Soft Bombs at Hadron Colliders
• $B+L$ violation at colliders and new physics
• How to discover QCD Instantons at the LHC
• Instanton contribution to scalar charmonium and glueball decays
• Instanton effects in quark form factor and quark-quark scattering at high energy
• Limits on Electroweak Instanton-Induced Processes with Multiple Boson Production
• Spin Physics through QCD Instantons
• Instanton Corrections to Quark Form Factor at Large Momentum Transfer
• Hunting for QCD Instantons at the LHC in Events with Large Rapidity Gaps
• Gluonic Structure of the Constituent Quark
• Instantons in Lepton Pair Production
• Vacuum structure and high-energy scattering
• The Pauli Form Factor of Quark and Nontrivial Topological Structure of the QCD
• Central Instanton Production
• Nonperturbative contributions to the quark form factor at high energy
• Searching for QCD-Instantons at HERA
• QCD-Instantons at HERA -- An Introduction
• A Search for Instantons at HERA
• Instantons in the QCD Vacuum and in Deep Inelastic Scattering
• Probing QCD instantons using jet correlation observables in proton-proton collisions at the LHC
• Instanton induced transverse single spin asymmetry for ${\pi }^0$ production in $pp$-scattering