scholarly journals Three loops renormalization constants in Numerical Stochastic Perturbation Theory

2012 ◽  
Author(s):  
Masayasu Hasegawa ◽  
Michele Brambilla ◽  
Francesco Di Renzo
Keyword(s):  
Perturbation Theory ◽  
Stochastic Perturbation ◽  
Renormalization Constants

scholarly journals Stochastic computation of g − 2 in QED

2021 ◽  
Vol 2021 (5) ◽  
Author(s):  
Ryuichiro Kitano ◽  
Hiromasa Takaura ◽  
Shoji Hashimoto
Keyword(s):  
Perturbation Theory ◽  
Numerical Computation ◽  
Magnetic Moment ◽  
Anomalous Magnetic Moment ◽  
Stochastic Perturbation ◽  
Higher Order ◽  
Feynman Diagrams ◽  
Perturbative Series ◽  
Physical Quantities

Abstract We perform a numerical computation of the anomalous magnetic moment (g − 2) of the electron in QED by using the stochastic perturbation theory. Formulating QED on the lattice, we develop a method to calculate the coefficients of the perturbative series of g − 2 without the use of the Feynman diagrams. We demonstrate the feasibility of the method by performing a computation up to the α3 order and compare with the known results. This program provides us with a totally independent check of the results obtained by the Feynman diagrams and will be useful for the estimations of not-yet-calculated higher order values. This work provides an example of the application of the numerical stochastic perturbation theory to physical quantities, for which the external states have to be taken on-shell.

scholarly journals Preliminary results in unquenched numerical stochastic perturbation theory

2004 ◽  
Vol 129-130 ◽  
pp. 414-416
Author(s):  
F. Di Renzo ◽  
A. Mantovi ◽  
V. Miccio ◽  
L. Scorzato
Keyword(s):  
Perturbation Theory ◽  
Stochastic Perturbation ◽  
Preliminary Results

scholarly journals Two-point functions of quenched lattice QCD in Numerical Stochastic Perturbation Theory

2011 ◽  
Author(s):  
F. Di Renzo ◽  
E.-M. Ilgenfritz ◽  
H. Perlt ◽  
A. Schiller ◽  
C. Torrero
Keyword(s):  
Perturbation Theory ◽  
Lattice Qcd ◽  
Stochastic Perturbation

scholarly journals The Schrödinger Functional in Numerical Stochastic Perturbation Theory

2014 ◽  
Author(s):  
Dirk Hesse ◽  
Stefan Sint ◽  
Francesco Di Renzo ◽  
Mattia Dalla Brida ◽  
Michele Brambilla
Keyword(s):  
Perturbation Theory ◽  
Stochastic Perturbation

scholarly journals Unquenched numerical stochastic perturbation theory

2003 ◽  
Vol 119 ◽  
pp. 1003-1005 ◽  
Author(s):  
F. Di Renzo ◽  
V. Miccio ◽  
L. Scorzato
Keyword(s):  
Perturbation Theory ◽  
Stochastic Perturbation

scholarly journals Two-point functions of quenched Lattice QCD in Numerical Stochastic Perturbation Theory. (I) The ghost propagator in Landau gauge

2010 ◽  
Vol 831 (1-2) ◽  
pp. 262-284 ◽  
Author(s):  
F. Di Renzo ◽  
E.-M. Ilgenfritz ◽  
H. Perlt ◽  
A. Schiller ◽  
C. Torrero
Keyword(s):  
Perturbation Theory ◽  
Lattice Qcd ◽  
Stochastic Perturbation ◽  
Landau Gauge ◽  
Ghost Propagator
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