Tue·Aug 12, 2003Tuesday·August 12, 2003

1. 01*

   On the continuum limit of gauge-fixed compact U(1) lattice gauge theory

   Subhasish Basak🇺🇸 · Asit K De🇮🇳 · Tilak Sinha🇮🇳

   We investigate the continuum limit of a compact formulation of the lattice U(1) gauge theory in 4 dimensions using a nonperturbative gauge-fixed regularization. We find clear evidence of a continuous phase transition in the pure gauge theory for all values of the gauge coupling (with gauge symmetry restored). When probed with quenched staggered fermions with U(1) charge, the theory clearly has a chiral transition for large gauge couplings. We identify the only possible region in the parameter space where a continuum limit with nonperturbative physics may appear.

   hep-lathep-thPLB(2004)·3 citations
2. 02*

   Blocked lattice monopoles in quenched SU(2) QCD and dual superconductor model

   M. N. Chernodub🇷🇺 · Katsuya Ishiguro🇯🇵 · Tsuneo Suzuki🇯🇵

   We study the action of the lattice monopoles in quenched SU(2) QCD in the Maximal Abelian projection. We relate the lattice action of the monopole currents to the monopole degrees of freedom of the continuum dual superconductor model and obtain the value of the monopole condensate.

   hep-lathep-phhep-thNucl.Phys.B Proc.Suppl.(2004)·1 citation
3. 03*

   A detailed study of the Abelian-projected SU(2) flux tube and its dual Ginzburg-Landau analysis

   Y. Koma🇩🇪 · M. Koma🇩🇪 · E.-M. Ilgenfritz🇩🇪 · T. Suzuki🇯🇵

   The color-electric flux tube of Abelian-projected (AP) SU(2) lattice gauge theory in the maximally Abelian gauge (MAG) is revisited. It is shown that the lattice Gribov copy effect in the MAG is crucial for the monopole-related parts of the flux-tube profiles. Taking into account both the gauge fixing procedure and the effect of finite quark-antiquark distance properly, the scaling property of the flux-tube profile is confirmed. The quantitative relation between the measured AP flux tube and the flux-tube solution of the U(1) dual Abelian Higgs (DAH) model is also discussed. The fitting of the AP flux tube in terms of the DAH flux tube indicates that the vacuum can be classified as weakly type-I dual superconductor.

   hep-latPRD(2003)·62 citations
4. 04*

   Mass dependence of the hairpin vertex in quenched QCD

   Stephen R. Sharpe🇺🇸

   The pseudoscalar ``hairpin'' vertex (i.e. quark-disconnected vertex) plays a key role in quenched chiral perturbation theory. Direct calculations using lattice simulations find that it has a significant dependence on quark mass. I show that this mass dependence can be used to determine the quenched Gasser-Leutwyler constant L5. This complements the calculation of L5 using the mass dependence of the axial decay constant of the pion. In an appendix, I discuss power counting for quenched chiral perturbation theory and describe the particular scheme used in this paper.

   hep-latPRD(2004)·3 citations
5. 05*

   Extending the Utility of Partially Quenched QCD

   Stephen R.Sharpe🇺🇸 · Ruth S.Van de Water🇺🇸

   It has been proposed that partially quenched chiral perturbation theory can be used together with partially quenched lattice QCD to determine the low-energy constants of real QCD. We point out a complication of this approach and show how it can be resolved. Partial quenching changes the chiral symmetry group and introduces a new independent four-derivative operator. We explore the effects of this new operator. We describe tree-level scattering processes to which it contributes, and show how they can be used, in principle, to deterimine its unknown coefficient. We also calculate its lowest-order (one-loop) contribution to charged meson masses and decay constants. In addition, we present the form of the analytic next-to-next-to-leading order meson mass and decay constant corrections, which are needed for lattice fits.

   hep-latNucl.Phys.B Proc.Suppl.(2004)·4 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.