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Related papers: Square Symanzik action to one-loop order

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We determine the parameter c_SW required for O(a)-improvement of the three flavor Wilson fermion action together with the tree-level Symanzik improved gauge action. The standard improvement condition is employed for a range of couplings.…

High Energy Physics - Lattice · Physics 2015-06-15 John Bulava , Stefan Schaefer

We study a coupling flow of pure QCD gauge system by using the Monte Carlo Renormalization Group method. A rough location of the renormalized trajectory in two coupling space is obtained. Also we compare 4 different actions; (a)standard…

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

Models of Dynamical Electroweak Symmetry Breaking are expected to display a quasi-conformal scaling behaviour in order to accommodate experimental constraints. The scaling properties of a theory can be studied using finite volume…

High Energy Physics - Lattice · Physics 2012-11-05 Stefan Sint , Pol Vilaseca

We compute the two loop coefficient in the relation between the lattice bare coupling and the running coupling defined through the Schroedinger functional for the case of pure SU(2) gauge theory. This result is needed as one computational…

High Energy Physics - Lattice · Physics 2016-08-31 Rajamani Narayanan , Ulli Wolff

We calculate the step scaling function, the lattice analog of the renormalization group $\beta$-function, for an SU(3) gauge theory with ten fundamental flavors. We present a detailed analysis including the study of systematic effects of…

High Energy Physics - Lattice · Physics 2020-07-08 Anna Hasenfratz , Claudio Rebbi , Oliver Witzel

Recent developments in the Symanzik improvement program for lattice QCD are reviewed.

High Energy Physics - Lattice · Physics 2009-10-30 Peter Lepage

We report on a high statistics simulation of SU(2) pure gauge field theory at finite temperature, using Symanzik action. We determine the critical coupling for the deconfinement phase transition on lattices up to 8 x 24, using Finite Size…

High Energy Physics - Lattice · Physics 2009-10-22 Giancarlo cella , Giuseppe Curci , Raffaele Tripiccione , Andrea Vicere'

We discuss a class of saddle-point configurations in SU(2) lattice gauge theory in three Euclidean dimensions. These configurations are smooth on the scale of the lattice and have an action density exhibiting localized peaks, as has been…

High Energy Physics - Lattice · Physics 2016-11-03 Robert D. Mawhinney

Lattice QCD with Wilson quarks and a chirally twisted mass term (tmQCD) has been introduced in refs. [1,2]. We here apply Symanzik's improvement programme to this theory and list the counterterms which arise at first order in the lattice…

High Energy Physics - Lattice · Physics 2010-02-03 Roberto Frezzotti , Stefan Sint , Peter Weisz

We show that, prepotential formulation of gauge theories on honeycomb lattice yields local loop states, which are free from any spurious loop degrees of freedom and hence exact and orthonormal. We also illustrate that, the dynamics of…

High Energy Physics - Lattice · Physics 2018-04-05 Indrakshi Raychowdhury

Using the background field technique, we calculate the 3-loop beta function of lattice $SU(N)$ gauge theories. In the pure gluonic case, we present our results, comparing to those recently obtained by Luescher and Weisz. We also provide a…

High Energy Physics - Lattice · Physics 2009-10-28 B. Alles , C. Christou , A. Feo , H. Panagopoulos , E. Vicari

We calculate the Polyakov loop susceptibilities in the SU(3) lattice gauge theory using the Symanzik improved gauge action on different-sized lattices. The longitudinal and transverse fluctu- ations of the Polyakov loop, as well as, that of…

High Energy Physics - Lattice · Physics 2013-11-20 Pok Man Lo , Bengt Friman , Olaf Kaczmarek , Krzysztof Redlich , Chihiro Sasaki

The two loop coefficient of the expansion of the Schroedinger functional coupling in terms of the lattice coupling is calculated for the SU(3) Yang-Mills theory. This coefficient is required to relate lattice data to the MS-bar-coupling. As…

High Energy Physics - Lattice · Physics 2009-10-30 Achim Bode

Effective action of an SU(2) gauge model with a vortex in 4-dimensional space time is calculated in the 1-loop approximation. The minimum of the effective potential is found.

High Energy Physics - Theory · Physics 2007-05-23 V. Ch. Zhukovsky

We describe and test a nonperturbatively improved single-plaquette lattice action for 4-d SU(2) and SU(3) pure gauge theory, which suppresses large fluctuations of the plaquette, without requiring the naive continuum limit for smooth…

High Energy Physics - Lattice · Physics 2016-04-20 Debasish Banerjee , Michael Bögli , Kieran Holland , Ferenc Niedermayer , Michele Pepe , Urs Wenger , Uwe-Jens Wiese

We study truncation effects in the SU(3) gauge actions obtained by the Monte Carlo renormalization group method. By measuring the heavy quark potential we find that the truncation effects in the actions coarsen the lattice by 40-50 % from…

High Energy Physics - Lattice · Physics 2010-11-19 T. Takaishi , Ph. de Forcrand

We calculate lattice renormalisation constants of local and one-link quark operators for overlap fermions and improved gauge actions in one-loop perturbation theory. For the local operators we stout smear the SU(3) links in the fermionic…

High Energy Physics - Lattice · Physics 2011-04-11 R. Horsley , H. Perlt , P. E. L. Rakow , G. Schierholz , A. Schiller

We present results for matching factors for staggered four-fermion operators constructed using HYP-smeared fat links both in the action and the operators. We use perturbation theory to calculate the matching factors and work to one-loop…

High Energy Physics - Lattice · Physics 2011-03-10 Jongjeong Kim , Weonjong Lee , Stephen R. Sharpe

We calculate the 1-loop renormalization of the fermion self-energy, all local fermion bilinears, as well as a set of extended bilinears which form a basis corresponding to moments of the parton distribution functions. We use the overlap…

High Energy Physics - Lattice · Physics 2009-11-11 M. Ioannou , H. Panagopoulos