scholarly journals Confirming the existence of the strong CP problem in lattice QCD with the gradient flow

2021 ◽  
Vol 103 (1) ◽  
Author(s):  
Jack Dragos ◽  
Thomas Luu ◽  
Andrea Shindler ◽  
Jordy de Vries ◽  
Ahmed Yousif
Keyword(s):  
2019 ◽  
Author(s):  
Jose Gabriel Reyes Rivera ◽  
Jack Dragos ◽  
Jangho Kim ◽  
Andrea Shindler ◽  
Thomas Luu

2018 ◽  
Vol 175 ◽  
pp. 01008 ◽  
Author(s):  
Chia Cheng Chang ◽  
Amy Nicholson ◽  
Enrico Rinaldi ◽  
Evan Berkowitz ◽  
Nicolas Garron ◽  
...  

We present state-of-the-art results from a lattice QCD calculation of the nucleon axial coupling, gA, using Möbius Domain-Wall fermions solved on the dynamical Nf = 2 + 1 + 1 HISQ ensembles after they are smeared using the gradient-flow algorithm. Relevant three-point correlation functions are calculated using a method inspired by the Feynman-Hellmann theorem, and demonstrate significant improvement in signal for fixed stochastic samples. The calculation is performed at five pion masses of mπ ~ {400, 350, 310, 220, 130} MeV, three lattice spacings of a ~ {0.15, 0.12, 0.09} fm, and we do a dedicated volume study with mπL ~ {3.22, 4.29, 5.36}. Control over all relevant sources of systematic uncertainty are demonstrated and quantified. We achieve a preliminary value of gA = 1.285(17), with a relative uncertainty of 1.33%.


2018 ◽  
Vol 175 ◽  
pp. 06004
Author(s):  
Christopher Monahan ◽  
Kostas Orginos

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.


2014 ◽  
Author(s):  
Mathias Neuman ◽  
Jens Langelage ◽  
Owe Philipsen

2021 ◽  
Vol 103 (5) ◽  
Author(s):  
C. Alexandrou ◽  
A. Athenodorou ◽  
K. Hadjiyiannakou ◽  
A. Todaro

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