Mon·Sep 29, 2003Monday·September 29, 2003

1. 01*

   Non-perturbative propagators and dimension 2 condensate in Yang-Mills theory

   Takeharu Murakami🇯🇵 · Kei-Ichi Kondo🇯🇵 · Toru Shinohara🇯🇵 · Akihiro Shibata🇯🇵

   We have found ultraviolet asymptotic slutions of the Schwinger-Dyson equation for the gluon and ghost propagators which have simultaneously the perturbative logarithmic correction and the non-perturbative $1/p^2$ power correction. By including the perturbative corrections, the power correction reproduces exactly the leading OPE result suggesting the existence of dimension two condensate.

   hep-latNucl.Phys.B Proc.Suppl.(2004)·1 citation
2. 02*

   Solving the Schwinger-Dyson Equations for Gluodynamics in the Maximal Abelian Gauge

   T. Shinohara🇯🇵 · K.-I. Kondo🇯🇵 · T. Murakami🇯🇵

   We derive the Schwinger-Dyson equations for the SU(2) Yang-Mills theory in the maximal Abelian gauge and solve them in the infrared asymptotic region. We find that the infrared asymptotic solutions for the gluon and ghost propagators are consistent with the hypothesis of Abelian dominance.

   hep-latNucl.Phys.B Proc.Suppl.(2004)·4 citations
3. 03*

   Infrared Features of the Lattice Landau Gauge QCD

   Hideo Nakajima🇯🇵 · Sadataka Furui🇯🇵

   The infrared properties of lattice Landau gauge QCD of SU(3) are studied by measuring gluon propagator, ghost propagator, QCD running coupling and Kugo-Ojima parameter of $\beta =6.0,16^4,24^4,32^4$ and $\beta =6.4,32^4,48^4$ lattices. We study Gribov copy problem by parallel tempering (PT) gauge fixing of $\beta =2.2,16^4$ SU(2) configurations. Rather unexpected features of the unique gauge(fundamental modular gauge, FMG) are observed in relation of physical values vs the optimizing function.

   hep-latNucl.Phys.B Proc.Suppl.(2004)·18 citations
4. 04*

   Infrared Features of Lattice Landau Gauge QCD and the Gribov Copy Problem

   Sadataka Furui🇯🇵 · Hideo Nakajima🇯🇵

   Infrared features of gluon propagator, ghost propagator, QCD running coupling and the Kugo-Ojima parameter in lattice Landau gauge QCD are presented. The framework of PMS analysis suggests that there appear infrared, intermediate and ultraviolet regions specified by ${\Lambda }_{\overline{MS}}$, ${\beta }_0$ and ${\beta }_1$. The propagators and the running coupling of $q>1GeV$ are fitted by the $\widetilde{MOM}$ scheme using the factorization scale as the scale parameter. The running coupling data of $q<14GeV$ are fitted by the contour improved perturbation method. The Gribov copy problem is studied in SU(2), $\beta =2.2$ samples by comparing the data gauge fixed by the parallel tempering method and the data gauge fixed by the straightforward gauge fixing. The Gribov noise effect turned out to be about 2%.

   hep-latAIP Conf.Proc.(2004)·26 citations
5. 05*

   Chiral Dirac fermions on the lattice using Geometric Discretisation

   Vivien de Beauce🇮🇪 · Samik Sen🇮🇪 · James C. Sexton🇮🇪

   A new approach to the problem of doubling is presented with the Dirac-Kahler (DK) theory as a starting point and using Geometric Discretisation providing us with a new way of extracting the Dirac field in the discrete setting of a hyper-cubic complex.

   hep-latNucl.Phys.B Proc.Suppl.(2004)·4 citations
6. 06*

   I=2 Pion Scattering Length from Two-Pion Wave Function

   N. Ishizuka🇯🇵 · T. Yamazaki🇯🇵

   We present a preliminary report on a calculation of scattering length for I=2 $S$-wave two-pion system directly from the two-pion wave function. Results are compared with those calculated from the time dependence of two-pion four-point functions. Calculations are made with an RG-improved action for gluons and improved Wilson action for quarks at $a^{-1}=1.207(12)$ GeV on $20^3\times 48$ and $24^3\times 48$ lattices.

   hep-latNucl.Phys.B Proc.Suppl.(2004)·16 citations
7. 07*

   Exploring two non-perturbative definitions of $c_A$

   S. Dürr🇩🇪 · M. Della Morte🇩🇪

   We present two determinations of the coefficient $c_A$ in quenched QCD, needed to build the $O(a)$ improved axial current. The first condition used is the requirement that the PCAC quark mass, as a function of $x_0$, stays flat for a non-trivial spatial phase for the fermions in the Schrödinger functional. The second condition is that the PCAC relation for the ground-state and the first excited state at finite L give the same quark mass. Our results confirm previous findings that in the quenched theory the intrinsic $O(a)$ ambiguity of $c_A$ gets relevant around $\beta \simeq 6.0$.

   hep-latNucl.Phys.B Proc.Suppl.(2004)·10 citations
8. 08*

   Features of SU(N) Gauge Theories

   B. Lucini🇬🇧 · M. Teper🇬🇧 · U. Wenger🇬🇧

   We review recent lattice results for the large $N$ limit of SU(N) gauge theories. In particular, we focus on glueball masses, topology and its relation to chiral symmetry breaking (relevant for phenomenology), on the tension of strings connecting sources in higher representations of the gauge group (relevant for models of confinement and as a comparative ground for theories beyond the Standard Model) and on the finite temperature deconfinement phase transition (relevant for RHIC-like experiments). In the final part we present open challenges for the future.

   hep-lat5 citations
9. 09*

   Large cutoff effects of dynamical Wilson fermions

   R. Sommer🇩🇪 · S. Aoki🇯🇵 · M. Della Morte🇩🇪 · R. Hoffmann🇩🇪 · T. Kaneko🇯🇵 · F. Knechtli🇩🇪 · J. Rolf🇩🇪 · I. Wetzorke🇩🇪 · U. Wolff🇩🇪

   We present and discuss results for cutoff effects in the PCAC masses and the mass dependence of r_0 for full QCD and various fermion actions. Our discussion of how one computes mass dependences - here of r_0 - is also relevant for comparisons with chiral perturbation theory.

   hep-latNucl.Phys.B Proc.Suppl.(2004)·38 citations
10. 10*

    Adventures in Coulomb Gauge

    J. Greensite🇺🇸 · S. Olejnik🇸🇰

    We study the phase structure of SU(2) gauge theories at zero and high temperature, with and without scalar matter fields, in terms of the symmetric/broken realization of the remnant gauge symmetry which exists after fixing to Coulomb gauge. The symmetric realization is associated with a linearly rising color Coulomb potential (which we compute numerically), and is a necessary but not sufficient condition for confinement.

    hep-lat3 citations
11. 11*

    Pion electromagnetic form-factor with domain wall fermions

    Y. Nemoto · RBC Collaboration

    Motivated by recent measurements at J-Lab, the pion electromagnetic form-factor is investigated with quenched domain wall fermions and a renormalization group improved gauge action called DBW2. We see that quark mass dependence of the form-factor with finite momentum transfers is rather small.

    hep-latNucl.Phys.B Proc.Suppl.(2004)·18 citations
12. 12*

    Hints on dual variables from the lattice SU(2) gluodynamics

    V.I. Zakharov🇩🇪

    In many cases, topological excitations become fundamental variables in a dual formulation of the theory. Assuming this is true in case of SU(2) gluodynamics, we look for hints on the dual variables from the lattice simulations. Two-dimensional vortices, or branes with recently established properties seem to be most natural candidates. The total area of the branes scales in the physical units while the non-Abelian action is ultraviolet divergent. The branes are populated with magnetic monopoles, or tachyonic mode.

    ↳ hep-phhep-lathep-th14 citations

* Reconstructed cohort: no mailing for this day survives in the archive. Papers are grouped by their submission times and arXiv's announcement cut-off, assuming announcement without delay; positions follow identifier order. Validated at ~91% exact-day agreement against the archived era.