scholarly journals Determination of $c_A$ in three-flavour lattice QCD with Wilson fermions and tree-level improved gauge action

2014 ◽  
Author(s):  
Christian Wittemeier ◽  
Michele Della Morte ◽  
John Bulava ◽  
Jochen Heitger
Keyword(s):  
Lattice Qcd ◽  
Tree Level ◽  
Gauge Action ◽  
Wilson Fermions

scholarly journals Non-perturbative improvement of the axial current in Nf=3 lattice QCD with Wilson fermions and tree-level improved gauge action

2015 ◽  
Vol 896 ◽  
pp. 555-568 ◽  
Author(s):  
John Bulava ◽  
Michele Della Morte ◽  
Jochen Heitger ◽  
Christian Wittemeier
Keyword(s):  
Lattice Qcd ◽  
Axial Current ◽  
Tree Level ◽  
Gauge Action ◽  
Wilson Fermions

scholarly journals Non-perturbative determination of cV, ZV and ZS/ZP in Nf = 3 lattice QCD

2018 ◽  
Vol 175 ◽  
pp. 10004 ◽  
Author(s):  
Jochen Heitger ◽  
Fabian Joswig ◽  
Anastassios Vladikas ◽  
Christian Wittemeier
Keyword(s):  
Lattice Qcd ◽  
Quark Mass ◽  
Numerical Evaluation ◽  
Vector Current ◽  
Tree Level ◽  
Gauge Action ◽  
Renormalization Factor ◽  
Preliminary Results ◽  
Renormalization Constants

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.

scholarly journals Non-perturbative determination of improvement b-coefficients in Nf = 3

2018 ◽  
Vol 175 ◽  
pp. 10008 ◽  
Author(s):  
Giulia Maria de Divitiis ◽  
Maurizio Firrotta ◽  
Jochen Heitger ◽  
Carl Christian Köster ◽  
Anastassios Vladikas
Keyword(s):  
Boundary Conditions ◽  
Lattice Qcd ◽  
Tree Level ◽  
Gauge Action ◽  
The Past ◽  
Functional Boundary ◽  
Functional Boundary Conditions ◽  
Mass Dependent ◽  
B Coefficients

We present our preliminary results of the non-perturbative determination of the valence mass dependent coefficients bA - bP and bm as well as the ratio ZPZm=ZA entering the flavour non-singlet PCAC relation in lattice QCD with Nf = 3 dynamical flavours. We apply the method proposed in the past for quenched approximation and Nf = 2 cases, employing a set of finite-volume ALPHA configurations with Schrödinger functional boundary conditions, generated with O(a) improved Wilson fermions and the tree-level Symanzik-improved gauge action for a range of couplings relevant for simulations at lattice spacings of about 0.09 fm and below.

scholarly journals Gauge-fixed Lattice QCD and the dispersion relation of Wilson fermions

2022 ◽  
Vol 258 ◽  
pp. 02003
Author(s):  
Giuseppe Burgio ◽  
Hannes Vogt
Keyword(s):  
Dispersion Relation ◽  
Lattice Qcd ◽  
Correlation Functions ◽  
Landau Gauge ◽  
Coulomb Gauge ◽  
Tree Level ◽  
Wilson Fermions

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.

scholarly journals Renormalisation of quark bilinears with Nf=2 Wilson fermions and tree-level improved gauge action

2008 ◽  
Author(s):  
Petros Dimopoulos ◽  
Roberto Frezzotti ◽  
Gregorio Herdoiza ◽  
Vittorio Lubicz ◽  
Mauro Papinutto ◽  
...  
Keyword(s):  
Tree Level ◽  
Gauge Action ◽  
Wilson Fermions

scholarly journals Lattice QCD determination of m b , f B and f Bs with twisted mass Wilson fermions

2012 ◽  
Vol 2012 (1) ◽  
Author(s):  
P. Dimopoulos ◽  
R. Frezzotti ◽  
G. Herdoiza ◽  
V. Lubicz ◽  
C. Michael ◽  
...  
Keyword(s):  
Lattice Qcd ◽  
Twisted Mass ◽  
Wilson Fermions

scholarly journals Determination of $c_{\rm sw}$ in $N_f=3+1$ Lattice QCD with massive Wilson fermions

2015 ◽  
Author(s):  
Felix Stollenwerk ◽  
Patrick Fritzsch ◽  
Rainer Sommer ◽  
Ulli Wolff
Keyword(s):  
Lattice Qcd ◽  
Wilson Fermions

scholarly journals Ward identity determination of $$Z_{\mathrm {S}}/Z_{\mathrm {P}}$$ for $$N_{\mathrm {f}}=3$$ lattice QCD in a Schrödinger functional setup

2020 ◽  
Vol 80 (8) ◽  
Author(s):  
Jochen Heitger ◽  
Fabian Joswig ◽  
Anastassios Vladikas
Keyword(s):  
Lattice Qcd ◽  
Large Volume ◽  
Ward Identity ◽  
Tree Level ◽  
Quark Masses ◽  
Axial Variation ◽  
Functional Boundary ◽  
Functional Boundary Conditions ◽  
Typical Range

Abstract We derive chiral Ward identities for lattice QCD with Wilson quarks and $$N_{\mathrm{f}}\ge 3$$Nf≥3 flavours, on small lattices with Schrödinger functional boundary conditions and vanishingly small quark masses. These identities relate the axial variation of the non-singlet pseudoscalar density to the scalar one, thus enabling the non-perturbative determination of the scale-independent ratio $$Z_{\mathrm {S}}/Z_{\mathrm {P}}$$ZS/ZP of the renormalisation parameters of these operators. We obtain results for $$N_{\mathrm{f}}=3$$Nf=3 QCD with tree-level Symanzik-improved gluons and Wilson-Clover quarks, for bare gauge couplings which cover the typical range of large-volume $$N_{\mathrm{f}}= 2+1$$Nf=2+1 simulations with Wilson fermions at lattice spacings below $$0.1\,$$0.1fm. The precision of our results varies from 0.3 to 1%, except for the coarsest lattice, where it is 2%. We discuss how the $$Z_{\mathrm {S}}/Z_{\mathrm {P}}$$ZS/ZP ratio can be used in the non-perturbative calculations of $${\mathrm {O}}(a)$$O(a) improved renormalised quark masses.

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