scholarly journals Finite volume effects on the extraction of form factors at zero momentum

2014 ◽  
Vol 90 (5) ◽  
Author(s):  
Brian C. Tiburzi
2021 ◽  
Vol 2021 (7) ◽  
Author(s):  
Andrey Yu. Kotov ◽  
Daniel Nogradi ◽  
Kalman K. Szabo ◽  
Lorinc Szikszai

Abstract In previous work, [arXiv:1905.01909], we have calculated the mϱ/fπ ratio in the chiral and continuum limit for SU(3) gauge theory coupled to Nf = 2, 3, 4, 5, 6 fermions in the fundamental representation. The main result was that this ratio displays no statistically significant Nf-dependence. In the present work we continue the study of the Nf-dependence by extending the simulations to Nf = 7, 8, 9, 10. Along the way we also study in detail the Nf-dependence of finite volume effects on low energy observables and a particular translational symmetry breaking unphysical, lattice artefact phase specific to staggered fermions.


2003 ◽  
Vol 670 (3) ◽  
pp. 464-478 ◽  
Author(s):  
G. Mussardo ◽  
V. Riva ◽  
G. Sotkov

2018 ◽  
Vol 175 ◽  
pp. 12012 ◽  
Author(s):  
Andreas Athenodorou ◽  
Philippe Boucaud ◽  
Feliciano de Soto ◽  
José Rodríguez-Quintero ◽  
Savvas Zafeiropoulos

We report on some efforts recently made in order to gain a better understanding of some IR properties of the 3-point gluon Green’s function by exploiting results from large-volume quenched lattice simulations. These lattice results have been obtained by using both tree-level Symanzik and the standard Wilson action, in the aim of assessing the possible impact of effects presumably resulting from a particular choice for the discretization of the action. The main resulting feature is the existence of a negative log-aritmic divergence at zero-momentum, which pulls the 3-gluon form factors down at low momenta and, consequently, yields a zero-crossing at a given deep IR momentum. The results can be correctly explained by analyzing the relevant Dyson-Schwinger equations and appropriate truncation schemes.


2010 ◽  
Vol 82 (3) ◽  
Author(s):  
Gilberto Colangelo ◽  
Andreas Fuhrer ◽  
Stefan Lanz

2013 ◽  
Vol 41 (1) ◽  
pp. 015105 ◽  
Author(s):  
A Rokash ◽  
E Epelbaum ◽  
H Krebs ◽  
D Lee ◽  
U-G Meißner

2011 ◽  
Vol 83 (11) ◽  
Author(s):  
Jangho Kim ◽  
Chulwoo Jung ◽  
Hyung-Jin Kim ◽  
Weonjong Lee ◽  
Stephen R. Sharpe ◽  
...  

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