Moments of Ioffe time parton distribution functions from non-local matrix elements

被引：83
|
作者：
Karpie, Joseph [1 ,2 ]
Orginos, Kostas [1 ,2 ]
Zafeiropoulos, Savvas [3 ]
机构：
[1] Coll William & Mary, Dept Phys, Williamsburg, VA 23187 USA
[2] Thomas Jefferson Natl Accelerator Facil, Newport News, VA 23606 USA
[3] Heidelberg Univ, Inst Theoret Phys, Philosophenweg 12, D-69120 Heidelberg, Germany
来源：
JOURNAL OF HIGH ENERGY PHYSICS | 2018年 / 11期
基金：
美国国家科学基金会;
关键词：
Lattice QCD; Lattice Quantum Field Theory; NONPERTURBATIVE RENORMALIZATION;
D O I：
10.1007/JHEP11(2018)178
中图分类号：
O412 [相对论、场论]; O572.2 [粒子物理学];
学科分类号：
摘要：
We examine the relation of moments of parton distribution functions to matrix elements of non-local operators computed in lattice quantum chromodynamics. We argue that after the continuum limit is taken, these non-local matrix elements give access to moments that are fi nite and can be matched to those de fi ned in the MS scheme. We demonstrate this fact with a numerical computation of moments through non-local matrix elements in the quenched approximation and we fi nd that these moments are in agreement with the moments obtained from direct computations of local twist-2 matrix elements in the quenched approximation.
引用
收藏
页数：13
相关论文
共 50 条
  • [1] Moments of Ioffe time parton distribution functions from non-local matrix elements
    Joseph Karpie
    Kostas Orginos
    Savvas Zafeiropoulos
    Journal of High Energy Physics, 2018
  • [2] Parton distribution functions from Ioffe time pseudo-distributions
    Joo, Balint
    Karpie, Joseph
    Orginos, Kostas
    Radyushkin, Anatoly
    Richards, David
    Zafeiropoulos, Savvas
    JOURNAL OF HIGH ENERGY PHYSICS, 2019, 2019 (12)
  • [3] Parton distribution functions from reduced Ioffe-time distributions
    Zhang, Jian-Hui
    Chen, Jiunn-Wei
    Monahan, Christopher
    PHYSICAL REVIEW D, 2018, 97 (07)
  • [4] Neural-network analysis of Parton Distribution Functions from Ioffe-time pseudodistributions
    Luigi Del Debbio
    Tommaso Giani
    Joseph Karpie
    Kostas Orginos
    Anatoly Radyushkin
    Savvas Zafeiropoulos
    Journal of High Energy Physics, 2021
  • [5] Reconstructing parton distribution functions from Ioffe time data: from Bayesian methods to neural networks
    Karpie, Joseph
    Orginos, Kostas
    Rothkopf, Alexander
    Zafeiropoulos, Savvas
    JOURNAL OF HIGH ENERGY PHYSICS, 2019, 2019 (04)
  • [6] Parton Distribution Functions from Ioffe Time Pseudodistributions from Lattice Calculations: Approaching the Physical Point
    Joo, Balint
    Karpie, Joseph
    Orginos, Kostas
    Radyushkin, Anatoly, V
    Richards, David G.
    Zafeiropoulos, Savvas
    PHYSICAL REVIEW LETTERS, 2020, 125 (23)
  • [7] Neural-network analysis of Parton Distribution Functions from Ioffe-time pseudodistributions
    Del Debbio, Luigi
    Giani, Tommaso
    Karpie, Joseph
    Orginos, Kostas
    Radyushkin, Anatoly
    Zafeiropoulos, Savvas
    JOURNAL OF HIGH ENERGY PHYSICS, 2021, 2021 (02)
  • [8] Reconstructing parton distribution functions from Ioffe time data: from Bayesian methods to neural networks
    Joseph Karpie
    Kostas Orginos
    Alexander Rothkopf
    Savvas Zafeiropoulos
    Journal of High Energy Physics, 2019
  • [9] Non-perturbative renormalization of moments of parton distribution functions
    Shindler, A
    Guagnelli, M
    Jansen, K
    Palombi, F
    Petronzio, R
    Wetzorke, I
    NUCLEAR PHYSICS B-PROCEEDINGS SUPPLEMENTS, 2004, 129 : 278 - 280
  • [10] Moments of polarized parton distribution functions
    Bernard, V
    Hemmert, TR
    Meissner, UG
    EUROPEAN PHYSICAL JOURNAL A, 2003, 18 (2-3): : 503 - 505
12345