High-loop perturbative renormalization constants for Lattice QCD (III): three-loop quark currents for Iwasaki gauge action and $$n_f=4$$ n f = 4 Wilson fermions

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.

Download Full-text

Non-perturbative renormalization in coordinate space for maximally twisted mass fermions with tree-level Symanzik improved gauge action

Nuclear Physics B ◽

10.1016/j.nuclphysb.2012.08.006 ◽

2012 ◽

Vol 865 (2) ◽

pp. 268-290 ◽

Cited By ~ 17

Author(s):

Krzysztof Cichy ◽

Karl Jansen ◽

Piotr Korcyl

Keyword(s):

Tree Level ◽

Coordinate Space ◽

Gauge Action ◽

Twisted Mass ◽

Perturbative Renormalization

Download Full-text

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

EPJ Web of Conferences ◽

10.1051/epjconf/202225802003 ◽

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.

Download Full-text

Baryon interactions from lattice QCD with physical quark masses – Nuclear forces and ΞΞ forces –

EPJ Web of Conferences ◽

10.1051/epjconf/201817505009 ◽

2018 ◽

Vol 175 ◽

pp. 05009 ◽

Cited By ~ 14

Author(s):

Takumi Doi ◽

Takumi Iritani ◽

Sinya Aoki ◽

Shinya Gongyo ◽

Tetsuo Hatsuda ◽

...

Keyword(s):

Lattice Qcd ◽

Heavy Ion ◽

Heavy Ion Collision ◽

Nuclear Forces ◽

Gauge Action ◽

Quark Masses ◽

Momentum Correlation ◽

Coupled Channel ◽

Ion Collision

We present the latest lattice QCD results for baryon interactions obtained at nearly physical quark masses. Nf = 2 + 1 nonperturbatively O(a)-improved Wilson quark action with stout smearing and Iwasaki gauge action are employed on the lattice of (96a)4 ≃(8.1fm)4 with a-1 ≃2.3 GeV, where mπ ≃146 MeV and mK ≃525 MeV. In this report, we study the two-nucleon systems and two-Ξ systems in 1S0 channel and 3S1-3D1 coupled channel, and extract central and tensor interactions by the HAL QCD method. We also present the results for the NΩ interaction in 5S2 channel which is relevant to the NΩ pair-momentum correlation in heavy-ion collision experiments.

Download Full-text