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
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
  • [41] THE CONSTRUCTION OF A PHENOMENOLOGICAL SCATTERING MATRIX WITH NON-LOCAL INTERACTION
    BARASHENKOV, VS
    SOVIET PHYSICS JETP-USSR, 1957, 5 (02): : 313 - 315
  • [42] Continuity of Harmonic Functions for Non-local Markov Generators
    Wada, Masaki
    POTENTIAL ANALYSIS, 2013, 39 (01) : 1 - 11
  • [43] The Green's functions for peridynamic non-local diffusion
    Wang, L. J.
    Xu, J. F.
    Wang, J. X.
    PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 2016, 472 (2193):
  • [44] Nucleon-pion-state contribution in lattice calculations of moments of parton distribution functions
    Bar, Oliver
    PHYSICAL REVIEW D, 2017, 95 (03)
  • [45] Proton structure and parton distribution functions from HERA
    Chekelian, Vladimir
    4TH INTERNATIONAL CONFERENCE ON NEW FRONTIERS IN PHYSICS, 2016, 126
  • [46] Parton distribution functions from large Nc QCD
    Rajeev, SG
    NUCLEAR PHYSICS B-PROCEEDINGS SUPPLEMENTS, 2000, 86 : 86 - 89
  • [47] Pion parton distribution functions from lattice QCD
    Wetzorke, I
    Guagnelli, M
    Jansen, K
    Palombi, F
    Petronzio, R
    Shindler, A
    NUCLEAR PHYSICS B-PROCEEDINGS SUPPLEMENTS, 2004, 129 : 281 - 283
  • [48] Parton distribution functions in the pion from lattice QCD
    Detmold, W
    Melnitchouk, W
    Thomas, AW
    PHYSICAL REVIEW D, 2003, 68 (03)
  • [49] αs from global fits of parton distribution functions
    Alekhin, S.
    Bluemlein, J.
    Moch, S. -O.
    MODERN PHYSICS LETTERS A, 2016, 31 (25)
  • [50] Transversity parton distribution functions from lattice QCD
    Alexandrou, Constantia
    Cichy, Krzysztof
    Constantinou, Martha
    Jansen, Karl
    Scapellato, Aurora
    Steffens, Fernanda
    PHYSICAL REVIEW D, 2018, 98 (09)