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In the strong coupling limit, $n$-point functions in lattice QCD with staggered fermions can be rewritten exactly as sums over constrained configurations of monomers, dimers, and baryon loops covering the spacetime lattice. Worm algorithms…

高能物理 - 格点 · 物理学 2017-02-01 Philippe de Forcrand , Paul Romatschke , Wolfgang Unger , Helvio Vairinhos

We test here our recently introduced new lattice method for the $\beta$-function defined over infinite Euclidean space-time in the continuum from scale changes generated by infinitesimal or finite steps of the renormalized gauge coupling on…

高能物理 - 格点 · 物理学 2023-01-18 Chik Him Wong , Szabolcs Borsanyi , Zoltan Fodor , Kieran Holland , Julius Kuti

We consider O(a) improvement for two flavor lattice QCD. The improvement term in the action is computed non-perturbatively for a large range of the bare coupling. The position of the critical line and higher order lattice artifacts…

高能物理 - 格点 · 物理学 2009-10-31 Karl Jansen , Rainer Sommer

The structure of hadrons relevant for deep-inelastic scattering are completely characterised by the Compton amplitude. A direct calculation of the Compton amplitude in a lattice QCD setup provides a way to accessing the structure functions,…

Existing non-perturbative computations of the running coupling of quenched QCD in the Schroedinger functional scheme are extended to scales mu lying much deeper in the low-energy regime. We are able to reach 1/mu ~ 0.9 fm, where a…

高能物理 - 格点 · 物理学 2015-06-25 Jochen Heitger , Hubert Simma , Rainer Sommer , Ulli Wolff

These notes aim to provide a pedagogical introduction to Lattice QCD. The topics covered include the scope of LQCD calculations, lattice discretization of gauge and fermion (naive, Wilson, and staggered) actions, doubling problem, improved…

高能物理 - 格点 · 物理学 2007-05-23 Rajan Gupta

The subtraction function plays a pivotal role in calculations involving the forward Compton amplitude, which is crucial for predicting the Lamb shift in muonic atom, as well as the proton-neutron mass difference. In this work, we present a…

高能物理 - 格点 · 物理学 2025-02-04 Yang Fu , Xu Feng , Lu-Chang Jin , Chuan Liu , Shi-Da Wen

In this paper we present the 1-loop perturbative computation of the renormalization constants and mixing coefficients of the lattice quark operators of rank three whose hadronic elements enter in the determination of the second moment of…

高能物理 - 格点 · 物理学 2016-09-01 Giuseppe Beccarini , Massimo Bianchi , Stefano Capitani , Giancarlo Rossi

We extend to the clover improved lattice formulation of QCD the resummation of cactus diagrams, i.e. a certain class of tadpole-like gauge invariant diagrams. Cactus resummation yields an improved perturbative expansion. We apply it to the…

高能物理 - 格点 · 物理学 2009-10-31 H. Panagopoulos , E. Vicari

We present a reliable nonperturbative calculation of the QCD correction, at leading order in the electromagnetic coupling, to the anomalous magnetic moment of the electron, muon, and tau leptons using two-flavor lattice QCD. We use multiple…

高能物理 - 格点 · 物理学 2013-05-29 Xu Feng , Marcus Petschlies , Karl Jansen , Dru B. Renner

We present the computation, in lattice QCD, of the renormalization constants and mixing coefficients of operators that measure the first two moments of DIS Structure Functions. These calculations have been performed using the…

高能物理 - 格点 · 物理学 2007-05-23 Stefano Capitani

We use a numerical method to obtain the weak coupling perturbative coefficients of local operators with lattice regularization. Such a method allows us to extend the perturbative expansions obtained so far by analytical Feynman diagrams…

高能物理 - 理论 · 物理学 2011-08-17 F. Di Renzo , G. Marchesini , E. Onofri

Using orbifold techniques I construct the Schrodinger functional (SF) for a doublet of Wilson quarks with chirally rotated boundary conditions. This allows to perform checks of universality: for instance, the renormalized SF coupling…

高能物理 - 格点 · 物理学 2007-05-23 Stefan Sint

The static energy is an excellent observable for extracting the strong coupling $\alpha_s$ on the lattice. For short distances, the static energy can be calculated both on the lattice using Wilson line correlators, and with perturbation…

We show that it is possible to improve the chiral behaviour and the approach to the continuum limit of correlation functions in lattice QCD with Wilson fermions by taking arithmetic averages of correlators computed in theories regularized…

高能物理 - 格点 · 物理学 2009-11-10 R. Frezzotti , G. C. Rossi

The coefficient c_A required for O(a) improvement of the axial current in lattice QCD with N_f=3 flavors of Wilson fermions and the tree-level Symanzik-improved gauge action is determined non-perturbatively. The standard improvement…

高能物理 - 格点 · 物理学 2015-12-09 John Bulava , Michele Della Morte , Jochen Heitger , Christian Wittemeier

We discuss the improvement of flavour non-singlet point and one-link lattice quark operators, which describe the quark currents and the first moment of the DIS structure functions respectively. Suitable bases of improved operators are…

高能物理 - 格点 · 物理学 2008-11-26 S. Capitani , M. Goeckeler , R. Horsley , H. Perlt , P. E. L. Rakow , G. Schierholz , A. Schiller

In order to investigate the systematics of the loop expansion in high temperature gauge theories beyond the leading order hard thermal loop (HTL) approximation, we calculate the two-loop electron proper self-energy in high temperature QED.…

高能物理 - 唯象学 · 物理学 2010-04-06 Emil Mottola , Zsolt Szep

We compute the QCD running coupling on the lattice as defined from the 3-gluon vertex. We present the results of an exploratory study at $\beta=6.0$ on a $16^4$ lattice, which show that for momenta larger than 2 \Gev, the coupling runs…

高能物理 - 格点 · 物理学 2007-05-23 D. Henty , C. Parrinello , C. Pittori

We study the dynamics of SU(2) gauge theory with NF=6 Dirac fermions by means of lattice simulation to investigate if they are appropriate to realization of electroweak symmetry breaking. The discrete analogue of beta function for the…

高能物理 - 格点 · 物理学 2012-10-19 M. Hayakawa , K. -I. Ishikawa , Y. Osaki , S. Takeda , N. Yamada