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Normalizing flows can be used to construct unbiased, reduced-variance estimators for lattice field theory observables that are defined by a derivative with respect to action parameters. This work implements the approach for observables…

Using Wilson fermions, we study SU(2) lattice QCD with the chemical potential at $\beta=1.6$. The ratio of fermion determinants is evaluated at each Metropolis link update step. We calculate the baryon number density, the Polyakov loops and…

高能物理 - 格点 · 物理学 2009-10-31 S. Muroya , A. Nakamura , C. Nonaka

We computed the static potential and Wilson loops to $O(\alpha^2)$ in perturbation theory for different lattice quark and gluon actions. In general, we find short distance lattice data to be well described by ``boosted perturbation…

高能物理 - 格点 · 物理学 2015-06-25 G. S. Bali , P. Boyle , C. T. H. Davies

The cut-off effects of the lattice gradient flow -- often called Wilson flow -- are calculated on a periodic 4-torus at leading order in the gauge coupling. A large class of discretizations is considered which includes all frequently used…

高能物理 - 格点 · 物理学 2014-11-03 Zoltan Fodor , Kieran Holland , Julius Kuti , Santanu Mondal , Daniel Nogradi , Chik Him Wong

We present doubler-free gauge-invariant lattice vector gauge action for some real representations of Wilson gauge fields on an octet of fermions. It is based on a geometric representation of the Dirac equation as an evolution equation on…

高能物理 - 格点 · 物理学 2007-05-23 I. Schmelzer

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

We study the iteration of block spin transformations in the O(3) symmetric non-linear sigma-model on a two-dimensional square lattice with help of the Monte Carlo method. In contrast to the classical Monte Carlo Renormalization Group…

高能物理 - 格点 · 物理学 2014-11-17 A. P. Gottlob , M. Hasenbusch , K. Pinn

A novel strong interaction beyond the standard model could provide a dynamical explanation of electroweak symmetry breaking. Experimental results strongly constrain properties of models that realise this mechanism. Whether these constraints…

高能物理 - 格点 · 物理学 2015-09-02 Biagio Lucini

We show how to compute electromagnetic polarizabilities of charged hadrons using four-point functions in lattice QCD. The low-energy behavior of Compton scattering amplitude is matched to matrix elements of current-current correlation…

高能物理 - 格点 · 物理学 2022-01-03 Walter Wilcox , Frank X. Lee

This paper is devoted to the study of two-point correlation function of the energy-momentum tensor T_{12}T_{12} for SU(2)-gluodynamics within lattice simulation of QCD. Using multilevel algorithm we carried out the measurement of the…

高能物理 - 格点 · 物理学 2018-12-19 N. Yu. Astrakhantsev , V. V. Braguta , A. Yu. Kotov

Energies of four-quark systems calculated by the static quenched SU(2) lattice Monte Carlo method are analyzed in $2\times 2$ bases for square, rectangle, tilted rectangle, linear and quadrilateral geometry configurations and in $3\times 3$…

高能物理 - 格点 · 物理学 2009-10-22 S. Furui , A. M. Green , B. Masud

We study the four-dimensional SU(3) gauge model with a fundamental and an adjoint plaquette term in the action. We investigate whether corrections to scaling can be reduced by using a negative value of the adjoint coupling. To this end, we…

高能物理 - 格点 · 物理学 2009-11-10 M. Hasenbusch , S. Necco

Theoretical and numerical studies of the Wilson flow in lattice QCD suggest that the gauge field obtained at flow time t>0 is a smooth renormalized field. The expectation values of local gauge-invariant expressions in this field are thus…

高能物理 - 格点 · 物理学 2014-01-28 Martin Lüscher

We renormalize Quantum Chromodynamics (QCD) when gauge fixed in the nonlinear Curci-Ferrari gauge to four loops in the modified minimal subtraction (MSbar) scheme. We reproduce the four loop QCD MSbar beta-function from the Slavnov-Taylor…

高能物理 - 理论 · 物理学 2025-03-10 J. A. Gracey

We exhibit the appropriate variables allowing the plus-minus (Z(2)) `reduction' of the Wilson loop operator which provides a direct measure of the thin, thick and `mixed' Z(2) topological, gauge-invariant vortices in SU(2) LGT. Simulations…

高能物理 - 格点 · 物理学 2009-10-30 Tamas G. Kovacs , E. T. Tomboulis

We apply strong-coupling expansion techniques to finite-temperature lattice pure gauge theory, obtaining dimensionally reduced $Z_N$-symmetric effective theories. The analytic mappings between the effective couplings and the original one,…

高能物理 - 格点 · 物理学 2011-11-08 Stefano Lottini , Owe Philipsen , Jens Langelage

QCDLAB is a set of programs, written in GNU Octave, for lattice QCD computations. Version 2.0 includes the generation of configurations for the SU(3) theory, computation of rectangle Wilson loops as well as the low lying meson spectrum with…

高能物理 - 格点 · 物理学 2019-04-22 Artan Borici

The generalized Wilson loop operator interpolating between the supersymmetric and the ordinary Wilson loop in ${\cal N}=4$ SYM theory provides an interesting example of renormalization group flow on a line defect: the scalar coupling…

高能物理 - 理论 · 物理学 2022-06-22 Matteo Beccaria , Simone Giombi , Arkady Tseytlin

Suppressing monopoles and vortices by introducing large chemical potentials for them in the Wilson action for the SU(2) lattice gauge theory, we study the nature of the deconfinement phase transition on N_\sigma^3 \times N_\tau lattices for…

高能物理 - 格点 · 物理学 2009-10-31 Rajiv V. Gavai

We discuss the renormalization of different definitions of quark masses in the Wilson and the tree-level improved SW-Clover fermionic action. For the improved case we give the correct relationship between the quark mass and the hopping…

高能物理 - 格点 · 物理学 2009-10-31 V. Gimenez , L. Giusti , F. Rapuano , M. Talevi
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