Parallel implementation of a lattice-gauge-theory code: studying quark confinement on PC clusters

Cucchieri, Attilio; Mendes, Tereza; Travieso, Gonzalo; Taurines, A. R.

doi:10.1109/cahpc.2003.1250330

Cited by 7 publications

(13 citation statements)

References 39 publications

(64 reference statements)

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“…We used the hybrid overrelaxed algorithm (HOR) [42,43] for thermalization and the stochastic overrelaxation algorithm or the so-called Cornell method for gauge-fixing thermalized configurations to the lattice Landau gauge [44,45,46]. The numerical code is parallelized using MPI [47]. For the random number generator we use a double-precision implementation of RANLUX (version 2.1) with luxury level set to 2.…”

Section: Simulationsmentioning

confidence: 99%

Infrared behavior of gluon and ghost propagators from asymmetric lattices

Cucchieri

Mendes

2006

Phys. Rev. D

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We present a numerical study of the lattice Landau gluon and ghost propagators in three-dimensional pure SU (2) gauge theory. Data have been obtained using asymmetric lattices (V = 20 2 ×60, 40 2 ×60, 8 2 × 64, 8 2 × 140, 12 2 × 140 and 16 2 × 140) for the lattice coupling β = 3.4, in the scaling region. We find that the gluon (respectively ghost) propagator is suppressed (respec. enhanced) at small momenta in the limit of large lattice volume V . By comparing these results with data obtained using symmetric lattices (V = 60 3 and 140 3 ), we find that both propagators suffer from systematic effects in the infrared region (p 650MeV). In particular, the gluon (respec. ghost) propagator is less IR-suppressed (respec. enhanced) than in the symmetric case. We discuss possible implications of the use of asymmetric lattices.

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Section: Simulationsmentioning

confidence: 99%

Infrared behavior of gluon and ghost propagators from asymmetric lattices

Cucchieri

Mendes

2006

Phys. Rev. D

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“…At the same time, the vector u -with components u j normalized to 1 − u 2 0 -points along a uniformly chosen random direction in three-dimensional space [2].…”

Section: The 4-vector Spin Model (On a 1-d Lattice) Is Defined By Thementioning

confidence: 99%

“…In this formulation the theory becomes equivalent to a statistical mechanical model, which can be studied numerically using Monte Carlo simulations (see for example [1,2] and references therein). As a consequence, the system considered evolves according to a Markov process in the so-called Monte Carlo time and the actionweighted configuration-space average of the observables is substituted by a time average over successive (independent) field configurations of the system.…”

Section: Introductionmentioning

confidence: 99%

“…Let us also note that, due to the isometry between the groups O(4) and SU (2), it is possible to study the SU(2) case with the same algorithm used for the 4-vector case. More precisely, the local update -i.e.…”

Section: Introductionmentioning

confidence: 99%

“…The method proposed here is therefore intended mostly for use in simulations of lattice gauge theories and not of n-vector models, although hybrid overrelaxation methods have also been applied in large-scale simulations of n-vector models [7]. Of course, an efficient thermalization in the SU (2) case is of great physical interest, since the quenched SU(N c ) case (for N c ≥ 3) is usually studied applying the SU(2)-embedding technique introduced in Ref. [8].…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Comparison among HB-inspired algorithms for continuous-spin systems and gauge fields

Cucchieri¹,

Frigori²,

Mendes³

et al. 2006

Braz. J. Phys.

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We propose a new local algorithm for the thermalization of n-vector spin models, which can also be used in the numerical simulation of SU(N) lattice gauge theories. The algorithm combines heat-bath (HB) and microcanonical updates in a single step -as opposed to the hybrid overrelaxation method, which alternates between the two kinds of update steps -while preserving ergodicity. We test our proposed algorithm in the case of the one-dimensional 4-vector spin model and compare its performance with the standard HB algorithm and with other HB-inspired algorithms.

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Moiseĭ Izrailevich Korsunskiĭ (on his Seventieth Birthday)

Genkin¹,

Karpov²,

Kel'man³

et al. 1974

Sov. Phys. Usp.

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We present a numerical study of the ghost-gluon vertex and of the corresponding renormalization function Z 1 (p 2 ) in minimal Landau gauge for SU(2) lattice gauge theory. Data were obtained for three different lattice volumes (V = 4 4 , 8 4 , 16 4 ) and for three lattice couplings β = 2.2, 2.3, 2.4. Gribov-copy effects have been analyzed using the socalled smeared gauge fixing. We also consider two different sets of momenta (orbits) in order to check for possible effects due to the breaking of rotational symmetry. The vertex has been evaluated at the asymmetric point (0; p, −p) in momentum-subtraction scheme. We find that Z 1 (p 2 ) is approximately constant and equal to 1, at least for momenta p 1 GeV. This constitutes a nonperturbative verification of the so-called nonrenormalization of the Landau ghost-gluon vertex. Finally, we use our data to evaluate the running coupling constant α s (p 2 ).

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Parallel implementation of a lattice-gauge-theory code: studying quark confinement on PC clusters

Cited by 7 publications

References 39 publications

Infrared behavior of gluon and ghost propagators from asymmetric lattices

Infrared behavior of gluon and ghost propagators from asymmetric lattices

Comparison among HB-inspired algorithms for continuous-spin systems and gauge fields

Moiseĭ Izrailevich Korsunskiĭ (on his Seventieth Birthday)

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