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We compute the ratio Lambda_L/Lambda_MS, where the scale parameter Lambda_L is associated with a lattice formulation of QCD. We consider a 3-parameter family of gluon actions, which are most frequently used for O(a) improvement a` la…

高能物理 - 格点 · 物理学 2008-11-26 A. Skouroupathis , H. Panagopoulos

The properties of antiferromagnetic Heisenberg $S=\frac{1}{2}$ ladders with 2, 3, and 4 chains are expanded in the ratio of the intra- and interchain coupling constants. A simple mapping procedure is introduced to relate the 4 and 2-chain…

凝聚态物理 · 物理学 2009-10-22 M. Reigrotzki , H. Tsunetsugu , T. M. Rice

The linear delta expansion is applied to a calculation of the SU(2) mass gap on the lattice. Our results compare favourably with the strong-coupling expansion and are in good agreement with recent Monte Carlo estimates.

高能物理 - 唯象学 · 物理学 2009-10-28 J. O. Akeyo , H. F. Jones , C. S. Parker

We study thermodynamic properties of Nf=2+1 QCD on the lattice adopting O(a)-improved Wilson quark action and Iwasaki gauge action. To cope with the problems due to explicit violation of the Poincare and chiral symmetries, we apply the…

高能物理 - 格点 · 物理学 2020-10-02 Yusuke Taniguchi , Shinji Ejiri , Kazuyuki Kanaya , Masakiyo Kitazawa , Hiroshi Suzuki , Takashi Umeda

In this talk I present the complete 1-loop perturbative computation of the renormalization constants and mixing coefficients of quark and gluon lattice operators of rank two and three whose hadronic elements enter in the determination of…

高能物理 - 格点 · 物理学 2009-10-28 Stefano Capitani , Giancarlo Rossi

Following Symanzik we argue that the Schr\"odinger functional in lattice gauge theories without matter fields has a well-defined continuum limit. Due to gauge invariance no extra counter terms are required. The Schr\"odinger functional is,…

高能物理 - 格点 · 物理学 2016-08-14 Martin Lüscher , Rajamani Narayanan , Peter Weisz , Ulli Wolff

We investigate the QCD phase diagram by using the strong-coupling expansion of the lattice QCD with one species of staggered fermion and the Polyakov loop effective action at finite temperature (T) and quark chemical potential (mu). We…

高能物理 - 格点 · 物理学 2011-06-08 Kohtaroh Miura , Takashi Z. Nakano , Akira Ohnishi , Noboru Kawamoto

Within the framework of the Schr\"odinger Functional (SF), we outline how to combine Numerical Stochastic Perturbation Theory (NSPT) and PCAC relations to determine the two-loop contributions to the improvement coefficients $c_A$ and…

高能物理 - 格点 · 物理学 2010-11-05 C. Torrero , G. S. Bali

We review a recent calculation of the two-loop next-to-leading logarithmic electroweak corrections to the form factors for massless chiral fermions coupling to an SU(2)xU(1) singlet gauge boson.

高能物理 - 唯象学 · 物理学 2007-05-23 S. Pozzorini

Schr\"odinger functional, the propagation kernel for going from some field configuration at time $x^0=0$ to some other configuration at $x^0=T$, is used to define a running coupling, $\bar g^2(L)$, at a length scale, $L$, in pure gauge…

高能物理 - 格点 · 物理学 2007-05-23 Rajamani Narayanan

We investigate -- as an alternative to usual Monte Carlo Renormalization Group methods -- the feasibility of extracting QCD beta-functions directly from a lattice analysis of correlations between the action and Wilson loops. We test this…

高能物理 - 格点 · 物理学 2009-10-28 G. S. Bali , Ch. Schlichter , K. Schilling

The standard method to calculate non-perturbatively the evolution of the running coupling of a SU(N) gauge theory is based on the Schr\"odinger functional (SF). In this paper we construct a family of boundary fields for general values of N…

高能物理 - 格点 · 物理学 2015-06-22 Ari Hietanen , Tuomas Karavirta , Pol Vilaseca

We develop a strategy for the non-perturbative determination of the O(a)-improvement coefficient c_sw for Wilson fermions with massive sea quarks. The improvement condition is defined via the PCAC relation in the Schr\"odinger functional.…

高能物理 - 格点 · 物理学 2015-01-28 Patrick Fritzsch , Rainer Sommer , Felix Stollenwerk , Ulli Wolff

We compute the flavorless running coupling constant of QCD from the three gluon vertex in the (regularisation independent) momentum subtraction renormalisation scheme. This is performed on the lattice with high statistics. The expected…

高能物理 - 唯象学 · 物理学 2010-03-19 Ph. Boucaud , J. P. Leroy , J. Micheli , O. Pène , C. Roiesnel

The coefficient $c_{\rm sw}$ appearing in the Sheikholeslami-Wohlert improved action is computed to one loop perturbation theory for improved gluon actions including six-link loops. The O($a$) improvement coefficients for the dimension…

高能物理 - 格点 · 物理学 2009-10-31 Sinya Aoki , Roberto Frezzotti , Peter Weisz

We describe a stochastic technique which allows one to compute numerically the coefficients of the weak coupling perturbative expansion of any observable in Lattice Gauge Theory. The idea is to insert the exponential representation of the…

高能物理 - 格点 · 物理学 2009-10-22 F. Di Renzo , G. Marchesini , P. Marenzoni , E. Onofri

First results from simulations of improved actions for both gauge fields and staggered fermion fields in three dimensional QCD are presented. This work provides insight into some issues of relevance to lattice theories in four dimensions.…

高能物理 - 格点 · 物理学 2011-07-19 Howard D. Trottier

Chiral perturbation theory gives direct and unambiguous predictions for the form of various two-point hadronic correlators at low momentum in terms of a finite set of couplings in a chiral Lagrangian. In this paper we study the feasibility…

高能物理 - 格点 · 物理学 2016-09-01 A. Duncan , S. Pernice , J. Yoo

Making use of conformal symmetry of large-$n_f$ QCD in $d=4-2\epsilon$ dimensions at the Wilson-Fischer fixed point, we calculate the two-loop coefficient functions in the operator product expansion of two electromagnetic currents in…

高能物理 - 唯象学 · 物理学 2024-11-25 Vladimir M. Braun , Hua-Yu Jiang , Alexander N. Manashov , Andreas von Manteuffel

Analytical and numerical methods are applied to principal chiral models on a two-dimensional lattice and their predictions are tested and compared. New techniques for the strong coupling expansion of SU(N) models are developed and applied…

高能物理 - 格点 · 物理学 2010-12-21 Paolo Rossi , Ettore Vicari