scholarly journals High-loop perturbative renormalization constants for Lattice QCD (II): three-loop quark currents for tree-level Symanzik improved gauge action and n f =2 Wilson fermions

2013 ◽  
Vol 73 (12) ◽  
Author(s):  
M. Brambilla ◽  
F. Di Renzo
2015 ◽  
Vol 896 ◽  
pp. 555-568 ◽  
Author(s):  
John Bulava ◽  
Michele Della Morte ◽  
Jochen Heitger ◽  
Christian Wittemeier

2014 ◽  
Author(s):  
Christian Wittemeier ◽  
Michele Della Morte ◽  
John Bulava ◽  
Jochen Heitger

2018 ◽  
Vol 175 ◽  
pp. 10004 ◽  
Author(s):  
Jochen Heitger ◽  
Fabian Joswig ◽  
Anastassios Vladikas ◽  
Christian Wittemeier

We report on non-perturbative computations of the improvement coefficient cV and the renormalization factor ZV of the vector current in three-flavour O(a) improved lattice QCD with Wilson quarks and tree-level Symanzik improved gauge action. To reduce finite quark mass effects, our improvement and normalization conditions exploit massive chiral Ward identities formulated in the Schrödinger functional setup, which also allow deriving a new method to extract the ratio ZS/ZP of scalar to pseudoscalar renormalization constants. We present preliminary results of a numerical evaluation of ZV and cV along a line of constant physics with gauge couplings corresponding to lattice spacings of about 0:09 fm and below, relevant for phenomenological applications.


2022 ◽  
Vol 258 ◽  
pp. 02003
Author(s):  
Giuseppe Burgio ◽  
Hannes Vogt

We show that, when investigating Wilson-fermions correlation functions on the lattice, one is bound to encounter major difficulties in defining their dispersion relation, even at tree level. The problem is indeed quite general and, although we stumbled upon it while studying Coulomb-gauge applications, it also affects gauge fixed studies in covariant gauges, including their most popular version, Landau gauge. In this paper we will discuss a solution to this problems based on a redefinition of the kinematic momentum of the fermion.


2008 ◽  
Author(s):  
Petros Dimopoulos ◽  
Roberto Frezzotti ◽  
Gregorio Herdoiza ◽  
Vittorio Lubicz ◽  
Mauro Papinutto ◽  
...  

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