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A finite-size technique is employed to compute the normalization constant $Z_A$ of the isovector axial current in lattice QCD. The calculation is carried out in the quenched approximation for values of the bare gauge coupling $g_0$ ranging…

High Energy Physics - Lattice · Physics 2016-09-01 Martin Lüscher , Stefan Sint , Rainer Sommer , Hartmut Wittig

We determine O($a$) boundary improvement coefficients up to 1-loop level for the Schr\"odinger Functional coupling with improved gauge actions including plaquette and rectangle loops. These coefficients are required to implement 1-loop…

High Energy Physics - Lattice · Physics 2009-11-10 Shinji Takeda , Sinya Aoki , Kiyotomo Ide

We calculate the two loop Landau mean links and the one loop renormalisation of the anisotropy for Wilson and improved SU(3) gauge actions, using twisted boundary conditions as a gauge invariant infrared regulator. We show these accurately…

High Energy Physics - Lattice · Physics 2009-11-07 I. T. Drummond , A. Hart , R. R. Horgan , L. C. Storoni

We investigate the coupling constant $g_{\sigma\pi\pi}$ for the hadronic decay $\sigma\to\pi\pi$ only using the relevant three-point function, which is evaluated by the moving-wall source technique with a pretty good noise-to-signal ratio.…

High Energy Physics - Lattice · Physics 2017-02-28 Lingyun Wang , Ziwen Fu , Hang Chen

We propose a method using perturbation theory in the running coupling constant and the idea of scaling to determine improved actions for lattice field theories combining Wilson's renormalization group with Symanzik's improvement program .…

High Energy Physics - Theory · Physics 2009-10-28 C. Wieczerkowski , Y. Xylander

We study the scaling behavior of the step scaling function for SU(3) gauge theory, employing the Iwasaki gauge action and the Luescher-Weisz gauge action. In particular, we test the choice of boundary counter terms and apply a perturbative…

SU(3) lattice gauge theory is studied by means of an improved action where a $2 \times 2$ Wilson loop is supplemented to the standard plaquette term. By contrast to earlier studies using a tree level improvement, the prefactor of the $2…

High Energy Physics - Lattice · Physics 2007-05-23 Kurt Langfeld

We use the Wilson flow to define the gauge anisotropy at a given physical scale. We demonstrate the use of the anisotropic flow by performing the tuning of the bare gauge anisotropy in the tree-level Symanzik action for several lattice…

High Energy Physics - Lattice · Physics 2012-05-04 S. Borsanyi , S. Durr , Z. Fodor , S. D. Katz , S. Krieg , T. Kurth , S. Mages , A. Schafer , K. K. Szabo

We perturbatively determine O($a$) boundary improvement coefficients at 1-loop for the Schr\"odinger Functional coupling with improved gauge actions. These coefficients are required to implement the 1-loop O($a$) improvement in full QCD…

High Energy Physics - Lattice · Physics 2015-06-25 Shinji Takeda , Sinya Aoki , Kiyotomo Ide

We study curvature perturbations in the anisotropic inflationary model with a complex scalar field charged under a $U(1)$ gauge field in Bianchi I universe. Due to Abelian Higgs mechanism, the gauge field receives an additional longitudinal…

High Energy Physics - Theory · Physics 2015-06-12 Razieh Emami , Hassan Firouzjahi

The topology conserving gauge action proposed by Luescher is expected to reduce the number of non-smooth gauge configurations as well as the topology change compared to the conventional actions for the same lattice spacings. We report our…

High Energy Physics - Lattice · Physics 2007-05-23 H. Fukaya , T. Onogi , S. Hashimoto , T. Hirohashi , K. Ogawa

We perform a nonperturbative determination of the $O(a)$-improvement coefficient $c_{\rm SW}$ and the critical hopping parameter $\kappa_c$ for $N_f$=3, 2, 0 flavor QCD with the RG-improved gauge action using the Schr\"odinger functional…

One-loop corrections to the fermion rest mass M_1, wave function renormalization Z_2 and speed of light renormalization C_0 are presented for lattice actions that combine improved glue with clover or D234 quark actions and keep the temporal…

High Energy Physics - Lattice · Physics 2009-10-31 Stefan Groote , Junko Shigemitsu

Lattice QCD with staggered fermions at strong coupling has long been studied in a dual representation to circumvent the finite baryon density sign problem. Monte Carlo simulations at finite temperature and density require anisotropic…

High Energy Physics - Lattice · Physics 2018-11-09 Dennis Bollweg , Marc Klegrewe , Wolfgang Unger

The low-lying glueball masses and the hadronic scale $r_0$ are computed in lattice SU(3) gauge theory with the aim of establishing the effectiveness of the improved action approach in removing finite-spacing artifacts. The use of…

High Energy Physics - Lattice · Physics 2007-05-23 Colin Morningstar , Mike Peardon

We present results from a Monte Carlo simulation of non-compact lattice QED in 3 dimensions on a $16^3$ lattice in which an explicit anisotropy between $x$ and $y$ hopping terms has been introduced into the action. This formulation is…

High Energy Physics - Lattice · Physics 2007-05-23 Simon Hands , Iorwerth Owain Thomas

We calculate the mean link in Landau gauge for Wilson and improved SU(3) anisotropic gauge actions, using two loop perturbation theory and Monte Carlo simulation employing an accelerated Langevin algorithm. Twisted boundary conditions are…

High Energy Physics - Lattice · Physics 2009-11-10 A. Hart , R. R. Horgan , L. C. Storoni

The electromagnetic coupling constant, $\alpha$, is one of the fundamental parameters of the Standard Model (SM). Its value at the Z boson mass, $\alpha(M_Z)$, is of particular interest as it enters electroweak precision tests. When running…

High Energy Physics - Lattice · Physics 2024-01-09 Sophie Mutzel

We use lattice topology as a laboratory to compare the Wilson action (WA) with the Symanzik-Weisz (SW) action constructed from a combination of (1x1) and (1x2) Wilson loops, and the estimate of the renormalization trajectory (RT) from a…

High Energy Physics - Lattice · Physics 2009-10-28 J. Grandy , G. Kilcup

We report on the determination of the deconfining temperature in SU(3) pure gauge theory, using the Symanzik tree level improved action, on lattices of size 3 x 12^3, 4 x 16^3, 5 x 20^3, 6 x24^3. We find that the asymptotic scaling…

High Energy Physics - Lattice · Physics 2009-10-22 G. Cella , G. Curci , A. Vicere' , B. Vigna