Document Type
Article
Publication Date
2017
DOI
10.1103/PhysRevD.96.014502
Publication Title
Physical Review D
Volume
96
Issue
1
Pages
014502 (1-13)
Abstract
Lattice quantum chromodynamics (QCD) provides the only known systematic, nonperturbative method for first-principles calculations of nucleon structure. However, for quantities such as light-front parton distribution functions (PDFs) and generalized parton distributions (GPDs), the restriction to Euclidean time prevents direct calculation of the desired observable. Recently, progress has been made in relating these quantities to matrix elements of spatially nonlocal, zero-time operators, referred to as quasidistributions. Still, even for these time-independent matrix elements, potential subtleties have been identified in the role of the Euclidean signature. In this work, we investigate the analytic behavior of spatially nonlocal correlation functions and demonstrate that the matrix elements obtained from Euclidean lattice QCD are identical to those obtained using the Lehmann-Symanzik-Zimmermann reduction formula in Minkowski space. After arguing the equivalence on general grounds, we also show that it holds in a perturbative calculation, where special care is needed to identify the lattice prediction. Finally we present a proof of the uniqueness of the matrix elements obtained from Minkowski and Euclidean correlation functions to all order in perturbation theory.
Original Publication Citation
Briceño, R. A., Hansen, M. T., & Monahan, C. J. (2017). Role of the Euclidean signature in lattice calculations of quasidistributions and other nonlocal matrix elements. Physical Review D, 96(1), 1-13, Article 014502. https://doi.org/10.1103/PhysRevD.96.014502
ORCID
0000-0003-1109-1473 (Briceño)
Repository Citation
Briceño, Raúl A.; Hansen, Maxwell T.; and Monahan, Christopher J., "Role of the Euclidean Signature in Lattice Calculations of Quasidistributions and Other Nonlocal Matrix Elements" (2017). Physics Faculty Publications. 626.
https://digitalcommons.odu.edu/physics_fac_pubs/626
Comments
© 2017 American Physical Society
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