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We compute the QCD running coupling on the lattice as defined from the 3-gluon vertex. We present the results of an exploratory study at $\beta=6.0$ on a $16^4$ lattice, which show that for momenta larger than 2 \Gev, the coupling runs…

高能物理 - 格点 · 物理学 2007-05-23 D. Henty , C. Parrinello , C. Pittori

We have applied a new noncompact, gauge-invariant, Monte Carlo method to simulate the U(1), SU(2), and SU(3) gauge theories on 8^4 and 12^4 lattices. For U(1) the Creutz ratios of the Wilson loops agree with the exact results for beta > 0.5…

高能物理 - 格点 · 物理学 2009-10-31 Kevin Cahill , Gary Herling

Using dual theories embedded into a larger unphysical Hilbert space along entanglement cuts, we study the Entanglement Structure of $\mathbf{Z}_2$ lattice gauge theory in $(2+1)$ spacetime dimensions. We demonstrate Li and Haldane's…

量子物理 · 物理学 2022-07-01 Niklas Mueller , Torsten V. Zache , Robert Ott

In this and a set of companion whitepapers, the USQCD Collaboration lays out a program of science and computing for lattice gauge theory. These whitepapers describe how calculation using lattice QCD (and other gauge theories) can aid the…

We compute the contribution to the modulus of the one-loop effective action in pure non-Abelian Chern-Simons theory in an arbitrary covariant gauge. We find that the results are dependent on both the gauge parameter ($\alpha$) and the…

高能物理 - 理论 · 物理学 2009-10-30 F. A. Dilkes , L. C. Martin , D. G. C. McKeon , T. N. Sherry

Non-Abelian Lattice Gauge Theory in Euclidean space-time of dimension d>=2 whose gauge group is any compact Lie group is related to a Spin Foam Model by an exact strong-weak duality transformation. The group degrees of freedom are…

高能物理 - 格点 · 物理学 2008-11-26 Hendryk Pfeiffer , Robert Oeckl

We calculate quantum averages of Wilson loops (holonomies) in gauge theories on the Euclidean noncommutative plane, using a path-integral representation of the star-product. We show how the perturbative expansion emerges from a concise…

高能物理 - 理论 · 物理学 2009-11-10 J. Ambjorn , A. Dubin , Y. Makeenko

The lattice gauge theory technique for non-perturbative calculations in QCD is reviewed. The extraction of the continuum limit of lattice results is discussed with particular examples appropriate to hadron spectroscopy (the light hadrons…

高能物理 - 唯象学 · 物理学 2007-05-23 C. Michael

In recent years, the Gribov-Zwanziger action was refined by taking into account certain dimension 2 condensates. In this fashion, one succeeded in bringing the gluon and the ghost propagator obtained from the GZ model in qualitative and…

高能物理 - 理论 · 物理学 2013-05-29 D. Dudal , S. P. Sorella , N. Vandersickel

A lattice simulation in the broken phase of four-dimensional (lambda Phi^4) theory in the Ising limit suggests that, in the continuum limit, the scalar condensate rescales by a factor different from the conventional wavefunction…

高能物理 - 格点 · 物理学 2009-10-31 P. Cea , M. Consoli , L. Cosmai

It is showed how the Hamiltonian lattice $loop$ $representation$ can be cast straightforwardly in the Lagrangian formalism. The procedure is general and here we present the simplest case: pure compact QED. This connection has been shaded by…

高能物理 - 理论 · 物理学 2011-07-19 J. M. Aroca , M. Baig , H. Fort

We study a systematic improvement of perturbation theory for gauge fields on the lattice; the improvement entails resumming, to all orders in the coupling constant, a dominant subclass of tadpole diagrams. This method, originally proposed…

高能物理 - 格点 · 物理学 2009-11-11 M. Constantinou , H. Panagopoulos , A. Skouroupathis

This is the first of a series of two papers on the perturbative computation of the ghost and gluon propagators in SU(3) Lattice Gauge Theory. Our final aim is to eventually compare with results from lattice simulations in order to enlight…

高能物理 - 格点 · 物理学 2010-10-27 F. Di Renzo , E. -M. Ilgenfritz , H. Perlt , A. Schiller , C. Torrero

The loop equations in the $U(N)$ lattice gauge theory are represented in the form of constraints imposed on a generating functional for the Wilson loop correlators. These constraints form a closed algebra with respect to commutation. This…

高能物理 - 理论 · 物理学 2009-10-28 K. Zarembo

The new method of nonperturbative calculation of the beta-function in the lattice gauge theory is proposed. The method is based on the finite size scaling hypothesis.

高能物理 - 格点 · 物理学 2007-05-23 O. Mogilevsky

Wilson loop expectations at weak coupling are computed to first order, for four dimensional lattice gauge theories with finite gauge groups which satisfy some mild additional conditions. This continues recent work of Chatterjee, which…

概率论 · 数学 2020-12-02 Sky Cao

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…

高能物理 - 格点 · 物理学 2009-10-28 J. Jersak , C. B. Lang , T. Neuhaus

We derive the perturbative expansion of Wilson loops to order g^4 in a SU(N) lattice gauge theory with twisted boundary conditions. Our expressions show that the thermodynamic limit is attained at infinite N for any number of lattice sites…

高能物理 - 格点 · 物理学 2016-11-23 Margarita Garcia Perez , Antonio Gonzalez-Arroyo , Masanori Okawa

We determine the chiral condensate from simulations of quenched lattice QCD with Wilson fermions. Our measurements have been obtained with high statistics at three values of the gauge coupling, corresponding to UV cutoffs in the range 2 - 4…

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

Hamiltonian lattice gauge models based on the assignment of the Heisenberg double of a Lie group to each link of the lattice are constructed in arbitrary space-time dimensions. It is shown that the corresponding generalization of the…

高能物理 - 理论 · 物理学 2015-06-26 S. A. Frolov