Randomness in infinitesimal extent in the McLerran-Venugopalan model

Fukushima, Kenji

doi:10.1103/PHYSREVD.77.074005

Title: Randomness in infinitesimal extent in the McLerran-Venugopalan model

Full Record
Other Related Research

Abstract

We study the discrepancy between the analytical definition and the numerical implementation of the McLerran-Venugopalan model. The infinitesimal extent of a fast-moving nucleus should retain longitudinal randomness in the color source distribution even when the longitudinal extent approximates zero due to the Lorentz contraction, which is properly taken into account in the analytical treatment. We point out that the longitudinal randomness is lost in numerical simulations because of the lack of the path-ordering of the Wilson line along the longitudinal direction. We quantitatively investigate how much the results with and without longitudinal randomness differ from each other. We finally mention that the discrepancy could be absorbed in a choice of the model parameter in the physical unit, and, nevertheless, it should be an important problem in the McLerran-Venugopalan model as a fully theoretical approach.

Authors:

Fukushima, Kenji ^[1]

Yukawa Institute for Theoretical Physics, Kyoto University, Kyoto 606-8502 (Japan)

Publication Date:: Tue Apr 01 00:00:00 EDT 2008

OSTI Identifier:: 21249930

Resource Type:: Journal Article

Journal Name:: Physical Review. D, Particles Fields

Additional Journal Information:: Journal Volume: 77; Journal Issue: 7; Other Information: DOI: 10.1103/PhysRevD.77.074005; (c) 2008 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 0556-2821

Country of Publication:: United States

Language:: English

Subject:: 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; COLOR MODEL; DISTRIBUTION; NUCLEI; RANDOMNESS; SIMULATION

Citation Formats


                    Fukushima, Kenji. Randomness in infinitesimal extent in the McLerran-Venugopalan model.  United States: N. p., 2008. 
        Web.  doi:10.1103/PHYSREVD.77.074005.

Copy to clipboard


                    Fukushima, Kenji. Randomness in infinitesimal extent in the McLerran-Venugopalan model.  United States.  https://doi.org/10.1103/PHYSREVD.77.074005

Copy to clipboard


                    Fukushima, Kenji. 2008.  
        "Randomness in infinitesimal extent in the McLerran-Venugopalan model".  United States.  https://doi.org/10.1103/PHYSREVD.77.074005.

Copy to clipboard


                    
@article{osti_21249930,

  title        = {Randomness in infinitesimal extent in the McLerran-Venugopalan model},

  author       = {Fukushima, Kenji},

  abstractNote = {We study the discrepancy between the analytical definition and the numerical implementation of the McLerran-Venugopalan model. The infinitesimal extent of a fast-moving nucleus should retain longitudinal randomness in the color source distribution even when the longitudinal extent approximates zero due to the Lorentz contraction, which is properly taken into account in the analytical treatment. We point out that the longitudinal randomness is lost in numerical simulations because of the lack of the path-ordering of the Wilson line along the longitudinal direction. We quantitatively investigate how much the results with and without longitudinal randomness differ from each other. We finally mention that the discrepancy could be absorbed in a choice of the model parameter in the physical unit, and, nevertheless, it should be an important problem in the McLerran-Venugopalan model as a fully theoretical approach.},

  doi          = {10.1103/PHYSREVD.77.074005},

  url          = {https://www.osti.gov/biblio/21249930},
  journal      = {Physical Review. D, Particles Fields},

  issn         = {0556-2821},

  number       = 7,

  volume       = 77,

  place        = {United States},

  year         = {Tue Apr 01 00:00:00 EDT 2008},

  month        = {Tue Apr 01 00:00:00 EDT 2008}

}

Copy to clipboard

Journal Article:

https://doi.org/10.1103/PHYSREVD.77.074005

Other availability

Find in Google Scholar

Search WorldCat to find libraries that may hold this journal

Save / Share:

Export Metadata

Save to My Library

Similar records in OSTI.GOV collections:

Helicity-dependent extension of the McLerran–Venugopalan model

Journal Article Cougoulic, Florian; Kovchegov, Yuri - Nuclear Physics. A

We construct a generalization of the McLerran-Venugopalan (MV) model including helicity effects for a longitudinally polarized target (a proton or a large nucleus). The extended MV model can serve as the initial condition for the helicity generalization of the JIMWLK evolution equation constructed in our previous paper, as well as for calculation of helicity-dependent observables in the quasi-classical approximation to QCD.
https://doi.org/10.1016/j.nuclphysa.2020.122051

Full Text Available
Non-Gaussian correlations in the McLerran-Venugopalan model

Journal Article Lam, C; Mahlon, Gregory - Physical Review D

We argue that the statistical weight function W[{rho}] appearing in the McLerran-Venugopalan model of a large nucleus is intrinsically non-Gaussian, even if we neglect quantum corrections. Based on the picture where the nucleus of radius R consists of a collection of color-neutral nucleons, each of radius a{much_lt}R, we show that to leading order in {alpha}{sub s} and a/R only the Gaussian part of W[{rho}] enters into the final expression for the gluon number density. Thus, the existing results in the literature which assume a Gaussian weight remain valid.
https://doi.org/10.1103/PhysRevD.64.016004
Gluon production at high transverse momentum in the McLerran-Venugopalan model of nuclear structure functions

Journal Article Kovner, A; McLerran, L; Weigert, H - Physical Review, D

We consider the production of high transverse momentum gluons in the McLerran-Venugopalan model of nuclear structure functions. We explicitly compute the high momentum component in this model. We compute the nuclear target size {ital A} dependence of the distribution of produced gluons.
https://doi.org/10.1103/PhysRevD.52.3809
First saturation correction in high energy proton-nucleus collisions. Part III. Ensemble averaging

Journal Article Li, Ming; Skokov, Vladimir - Journal of High Energy Physics (Online)

In high energy proton-nucleus collisions, the gluon saturation effects from the nucleus are fully incorporated into the light-like Wilson lines. The gluon saturation effects from the proton, which are anticipated to be important either in the extreme high energy limit or towards the dense-dense (nucleus-nucleus) collision regimes, have been studied perturbatively within the Color Glass Condensate effective theory in previous papers of this series. A configuration-by-configuration expression for the single inclusive semi-hard gluon production including the first saturation correction was obtained. In this paper, we perform ensemble averaging in the McLerran-Venugopalan model and the Dipole Approximation. We find that, inmore »« less
https://doi.org/10.1007/jhep01(2022)160

Full Text Available
Wilson-line and color charge density correlators and the production of {eta}{sup '} in the color glass condensate for pp and pA collisions

Journal Article Fillion-Gourdeau, Francois; Jeon, Sangyong - Physical Review. C, Nuclear Physics

We compute the inclusive differential cross section production of the pseudoscalar meson {eta}{sup '} in high-energy proton-proton (pp) and proton-nucleus (pA) collisions. We use an effective coupling between gluons and {eta}{sup '} meson to derive a reduction formula that relates the {eta}{sup '} production to a field-strength tensor correlator. For pA collisions, we take into account saturation effects on the nucleus side by using the color glass condensate formalism to evaluate this correlator. We derive new results for Wilson-line color charge correlators in the McLerran-Venugopalan model needed in the computation of {eta}{sup '} production. The unintegrated parton distribution functions aremore »« less
https://doi.org/10.1103/PHYSREVC.79.025204

Similar Records