scholarly journals Nonperturbative renormalization of staple-shaped Wilson line operators in lattice QCD

2020 ◽  
Vol 101 (7) ◽  
Author(s):  
Phiala Shanahan ◽  
Michael L. Wagman ◽  
Yong Zhao
Keyword(s):  
Lattice Qcd ◽  
Wilson Line ◽  
Nonperturbative Renormalization

scholarly journals Parton Distribution Functions and Lattice QCD

2019 ◽  
Vol 206 ◽  
pp. 01003
Author(s):  
Huey-Wen Lin
Keyword(s):  
Lattice Qcd ◽  
Parton Distribution ◽  
Pion Mass ◽  
Effective Field ◽  
Distribution Functions ◽  
Large Momentum ◽  
Parton Distribution Functions ◽  
Proton Structure ◽  
Nonperturbative Renormalization ◽  
First Time

Recently, there have been rapid developments in lattice-QCD calculations of proton structure, especially in the parton distribution functions (PDFs). We overcame a longstanding obstacle and for the first time in lattice-QCD are able to directly calculate the Bjorken-x dependence of the quark, helicity and transversity distributions. The PDFs are obtained using the large-momentum effective field theory (LaMET) framework where the full Bjorken-x dependence of finite-momentum PDFs, called “quasi-PDFs”, can be calculated on the lattice. The quasi-PDF nucleon matrix elements are renormalized non-perturbatively in RI/MOM-scheme. Following a nonperturbative renormalization of the parton quasi-distribution in a regularization-independent momentum-subtraction scheme, we establish its matching to the $ \overline {{\rm{MS}}} $ PDF and calculate the non-singlet matching coefficient at next-to-leading order in perturbation theory. In this proceeding, I will show the progress that has been made in recent years, highlighting the latest state-of-the art PDF calculations at the physical pion mass. Future impacts on the large-x global PDF fits are also discussed.

scholarly journals Composite operators in lattice QCD: nonperturbative renormalization

1999 ◽  
Vol 73 (1-3) ◽  
pp. 291-293 ◽  
Author(s):  
M. Göckeler ◽  
R. Horsley ◽  
H. Oelrich ◽  
H. Perlt ◽  
D. Petters ◽  
...  
Keyword(s):  
Lattice Qcd ◽  
Nonperturbative Renormalization

scholarly journals Perturbative and nonperturbative renormalization in lattice QCD

2010 ◽  
Vol 82 (11) ◽  
Author(s):  
M. Göckeler ◽  
R. Horsley ◽  
Y. Nakamura ◽  
H. Perlt ◽  
D. Pleiter ◽  
...  
Keyword(s):  
Lattice Qcd ◽  
Nonperturbative Renormalization

scholarly journals Parton distribution function with nonperturbative renormalization from lattice QCD

2018 ◽  
Vol 97 (1) ◽  
Author(s):  
Jiunn-Wei Chen ◽  
Tomomi Ishikawa ◽  
Luchang Jin ◽  
Huey-Wen Lin ◽  
Yi-Bo Yang ◽  
...  
Keyword(s):  
Distribution Function ◽  
Lattice Qcd ◽  
Parton Distribution ◽  
Parton Distribution Function ◽  
Nonperturbative Renormalization

Erratum: Perturbative and nonperturbative renormalization in lattice QCD [Phys. Rev. D82, 114511 (2010)]

2012 ◽  
Vol 86 (9) ◽  
Author(s):  
M. Göckeler ◽  
R. Horsley ◽  
Y. Nakamura ◽  
H. Perlt ◽  
D. Pleiter ◽  
...  
Keyword(s):  
Lattice Qcd ◽  
Nonperturbative Renormalization

scholarly journals Finite continuum quasi distributions from lattice QCD

2018 ◽  
Vol 175 ◽  
pp. 06004
Author(s):  
Christopher Monahan ◽  
Kostas Orginos
Keyword(s):  
Lattice Qcd ◽  
Wilson Line ◽  
Gradient Flow ◽  
Matrix Elements ◽  
Spatial Direction ◽  
New Approach ◽  
Nonperturbative Method ◽  
Extended Operator ◽  
Power Divergence ◽  
The Continuum

We present a new approach to extracting continuum quasi distributions from lattice QCD. Quasi distributions are defined by matrix elements of a Wilson-line operator extended in a spatial direction, evaluated between nucleon states at finite momentum. We propose smearing this extended operator with the gradient flow to render the corresponding matrix elements finite in the continuum limit. This procedure provides a nonperturbative method to remove the power-divergence associated with the Wilson line and the resulting matrix elements can be directly matched to light-front distributions via perturbation theory.

Onset Transition to Cold Nuclear Matter from Lattice QCD with Heavy Quarks

2014 ◽  
Author(s):  
Mathias Neuman ◽  
Jens Langelage ◽  
Owe Philipsen
Keyword(s):  
Nuclear Matter ◽  
Lattice Qcd ◽  
Heavy Quarks ◽  
Cold Nuclear Matter

scholarly journals Cwebs beyond three loops in multiparton amplitudes

2021 ◽  
Vol 2021 (3) ◽  
Author(s):  
Neelima Agarwal ◽  
Lorenzo Magnea ◽  
Sourav Pal ◽  
Anurag Tripathi
Keyword(s):  
Gauge Theories ◽  
Anomalous Dimension ◽  
Wilson Line ◽  
Building Blocks ◽  
Feynman Diagrams ◽  
Loop Order ◽  
Abelian Gauge ◽  
Sum Rule ◽  
Combinatorial Properties ◽  
Low Dimensional

Abstract Correlators of Wilson-line operators in non-abelian gauge theories are known to exponentiate, and their logarithms can be organised in terms of collections of Feynman diagrams called webs. In [1] we introduced the concept of Cweb, or correlator web, which is a set of skeleton diagrams built with connected gluon correlators, and we computed the mixing matrices for all Cwebs connecting four or five Wilson lines at four loops. Here we complete the evaluation of four-loop mixing matrices, presenting the results for all Cwebs connecting two and three Wilson lines. We observe that the conjuctured column sum rule is obeyed by all the mixing matrices that appear at four-loops. We also show how low-dimensional mixing matrices can be uniquely determined from their known combinatorial properties, and provide some all-order results for selected classes of mixing matrices. Our results complete the required colour building blocks for the calculation of the soft anomalous dimension matrix at four-loop order.

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