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We compute the running QCD coupling on the lattice by evaluating two-point and three-point off-shell gluon Green's functions in a fixed gauge and imposing non-perturbative renormalisation conditions on them. Our exploratory study is…

High Energy Physics - Lattice · Physics 2009-03-09 B. Alles , D. S. Henty , H. Panagopoulos , C. Parrinello , C. Pittori , D. G. Richards

We present a high order perturbative computation of the renormalization constants Z_V, Z_A and of the ratio Z_P/Z_S for Wilson fermions. The computational setup is the one provided by the RI'-MOM scheme. Three- and four-loop expansions are…

High Energy Physics - Lattice · Physics 2008-11-26 F. Di Renzo , V. Miccio , L. Scorzato , C. Torrero

We apply the method of Hasenfratz and Niedermayer to analytically construct perfect lattice actions for the Gross--Neveu model. In the large $N$ limit these actions display an exactly perfect scaling, i.e. cut-off artifacts are completely…

High Energy Physics - Lattice · Physics 2016-08-31 W. Bietenholz , E. Focht , U. -J. Wiese

The measurements of the magnetic and nematic correlation lengths in a generalization of the two dimensional XY model on the square lattice are presented using classical Monte Carlo simulation. The full phase diagram is re-examined based on…

Statistical Mechanics · Physics 2018-10-17 Duong Xuan Nui , Le Tuan , Nguyen Duc Trung Kien , Pham Thanh Huy , Hung T. Dang , Dao Xuan Viet

We calculate the conductance of a system of two spinless Luttinger liquid wires with different interaction strengths g_1, g_2, connected through a short junction, within the scattering state formalism. Following earlier work we formulate…

Strongly Correlated Electrons · Physics 2015-06-05 D. N. Aristov , P. Wölfle

As an illustration of general principles, the $W$-boson loop contribution to the amplitude for the decay $H\to \gamma \gamma$ is calculated within a specific model for the effective lagrangian describing the anomalous gauge boson couplings.…

High Energy Physics - Phenomenology · Physics 2011-03-23 Jiri Novotny , Miroslav Stohr

We develop a subtractive renormalization scheme to evaluate the P-wave NN scattering phase shifts using chiral effective theory potentials. This allows us to consider arbitrarily high cutoffs in the Lippmann-Schwinger equation (LSE). We…

Nuclear Theory · Physics 2013-05-29 C. -J. Yang , Ch. Elster , D. R. Phillips

A Lorentz and gauge symmetry preserving regularization method has been proposed recently in 4 dimension based on Euclidean momentum cutoff. It is shown that the triangle anomaly can be calculated unambiguously with this new improved cutoff.…

High Energy Physics - Phenomenology · Physics 2011-07-19 G. Cynolter , E. Lendvai

In this paper we investigate the cutoff effects at tree-level of perturbation theory for three different lattice regularizations of fermions -- maximally twisted mass Wilson, overlap and Creutz fermions. We show that all three kinds of…

High Energy Physics - Lattice · Physics 2008-12-23 Krzysztof Cichy , Jenifer Gonzalez Lopez , Agnieszka Kujawa

We consider the $N$-components 3-dimensional massive Gross-Neveu model compactified in one spatial direction, the system being constrained to a slab of thickness $L$. We derive a closed formula for the renormalized $L$-dependent four-point…

High Energy Physics - Phenomenology · Physics 2009-11-10 A. P. C. Malbouisson , J. M. C. Malbouisson , A. E. Santana , J. C. da Silva

Gauged linear sigma models with (0,2) supersymmetry allow a larger choice of couplings than models with (2,2) supersymmetry. We use this freedom to find a fully linear construction of torsional heterotic compactifications, including models…

High Energy Physics - Theory · Physics 2015-05-28 Callum Quigley , Savdeep Sethi

We study Gamma-convergence of graph based Ginzburg-Landau functionals, both the limit for zero diffusive interface parameter epsilon->0 and the limit for infinite nodes in the graph m -> infinity. For general graphs we prove that in the…

Analysis of PDEs · Mathematics 2019-07-11 Yves van Gennip , Andrea L. Bertozzi

In continuum field theory, it has been discussed that chiral gauge theories with Weyl fermions in anomalous gauge representations (anomalous gauge theories) can consistently be quantized, provided that some of gauge bosons are permitted to…

High Energy Physics - Lattice · Physics 2011-07-19 Yoshio Kikukawa , Hiroshi Suzuki

We analyze the gauge fixing precision dependence of some non-local quark-blinear lattice operators interesting in computing parton physics for several measurements, using 5 lattice spacings ranging from 0.032 fm to 0.121 fm. Our results…

High Energy Physics - Lattice · Physics 2024-05-24 Kuan Zhang , Yi-Kai Huo , Xiangdong Ji , Andreas Schaefer , Chun-Jiang Shi , Peng Sun , Wei Wang , Yi-Bo Yang , Jian-Hui Zhang

Integrated time-slice correlation functions $G(t)$ with weights $K(t)$ appear, e.g., in the moments method to determine $\alpha_s$ from heavy quark correlators, in the muon g-2 determination or in the determination of smoothed spectral…

High Energy Physics - Lattice · Physics 2022-11-30 Leonardo Chimirri , Nikolai Husung , Rainer Sommer

The Alpha Collaboration has proposed an optimal value for c_SW in the Sheikholeslami-Wohlert action, chosen to remove O(a) effects. To measure hadronic matrix elements to the same accuracy we need a method of finding O(a) improved…

High Energy Physics - Lattice · Physics 2008-11-26 S. Capitani , M. Goeckeler , R. Horsley , H. Oelrich , H. Perlt , D. Pleiter , P. E. L. Rakow , G. Schierholz , A. Schiller , P. Stephenson

The line of phase transitions, separating the confinement and the Coulomb phases in the four-dimensional pure compact U(1) gauge theory with extended Wilson action, is reconsidered. We present new numerical evidence that a part of this…

High Energy Physics - Lattice · Physics 2009-10-28 J. Jersak , C. B. Lang , T. Neuhaus

We study cutoff effects at tree-level of perturbation theory for standard Wilson and Wilson twisted mass fermionic lattice actions with Nf=2 flavour degenerate quarks. The discretization effects are investigated by computing the mass…

High Energy Physics - Lattice · Physics 2009-04-14 K. Cichy , J. Gonzalez Lopez , K. Jansen , A. Kujawa , A. Shindler

We consider a cutoff level-set mean curvature G-equation with a non-negative source term. In particular, we study the large-time behavior of this fully nonlinear degenerate parabolic partial differential equation in two settings: periodic…

Analysis of PDEs · Mathematics 2026-01-29 Adrian D. Calderon

We derive the RG-flow equations of the sliding Luttinger liquid perturbed by charge-density-wave (CDW) and superconducting (SC) operators. Using them we study the phase diagram of an array of XXZ spin chains coupled by Ising terms. In the…

Superconductivity · Physics 2007-05-23 G. Sierra
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