Wed·Oct 8, 2003Wednesday·October 8, 2003

1. 01*

   Consistency of lattice definitions of U(1) flux in Abelian projected SU(2) gauge theory

   Takayuki Matsuki🇺🇸 · Richard W. Haymaker🇺🇸

   We reexamine the dual Abrikosov vortex under the requirement that the lattice averages of the fields satisfy exact Maxwell equations [ME]. The electric ME accounts for the total flux and the magnetic ME determines the shape of the confining string. This leads to unique and consistent definitions of flux and electric and magnetic currents at finite lattice spacing. The resulting modification of the standard DeGrand-Toussaint construction gives a magnetic current comprised of smeared monopoles.

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

   A New Method for Simulating QCD at Finite Density

   Jun Nishimura (KEK, Tsukuba)🇯🇵

   We propose a new method for simulating QCD at finite density, where interesting phases such as the color superconductivity phase is conjectured to appear. The method is based on a general factorization property of distribution functions of observables, and it is therefore applicable to any system with a complex action. The so-called overlap problem is completely eliminated by the use of constrained simulations. We test this method in a Random Matrix Theory for finite density QCD, where we are able to reproduce the exact results for the quark number density. The achieved system size is large enough to extract the thermodynamic limit. Our results provide a clear understanding of how the expected first order phase transition is induced by the imaginary part of the action. We also discuss the noncommutativity of the zero chemical potential limit and the thermodynamic limit, which is relevant to recent Monte Carlo studies at small chemical potential.

   hep-lat1 citation
3. 03*

   Lattice Superstring and Noncommutative Geometry

   Jun Nishimura (KEK, Tsukuba)🇯🇵

   Recent developments in superstring theory and noncommutative geometry are deeply related to the idea of Eguchi-Kawai reduction in large N gauge theories which dates back to early 80s. After a general review on this subject including revived interests in solving planar QCD, we present some results in the superstring matrix model suggesting the dynamical generation of 4d space-time due to the collapse of the eigenvalue distribution. We then discuss interesting dynamical properties of field theories in noncommutative geometry, which have been revealed by Monte Carlo simulations of twisted reduced models. We conclude with a comment on the recent proposal for a lattice construction of supersymmetric gauge theories based on reduced models.

   hep-lathep-thNucl.Phys.B Proc.Suppl.(2004)·12 citations
4. 04*

   An Approach to Higher Dimensional Theories Based on Lattice Gauge Theory

   M. Murata🇯🇵 · H. So🇯🇵

   A higher dimensional lattice space can be decomposed into a number of four-dimensional lattices called as layers. The higher dimensional gauge theory on the lattice can be interpreted as four-dimensional gauge theories on the multi-layer with interactions between neighboring layers. We propose the new possibility to realize the continuum limit of a five-dimensional theory based on the property of the phase diagram.

   hep-latNucl.Phys.B Proc.Suppl.(2004)·1 citation
5. 05*

   Confinement of Color: Recent Progress

   A. Di Giacomo🇮🇹

   Recent progress done in Pisa on the subject is presented. It is shown that dual superconductivity of the vacuum or absence of it is an intrinsic property of QCD vacuum, independent of the choice of the abelian projection. The order of the deconfining phase transition in $N_f=2$ QCD is studied as a key to understand the mechanism of confinement.

   hep-lat3 citations
6. 06*

   What is the order of the deconfining phase transition?

   A. Di Giacomo🇮🇹

   The techniques are discussed by which the order of the deconfining phase transition is investigated on the lattice. QCD with $N_f=2$ is a special case, which can provide information on the mechanism of confinement.

   hep-latNucl.Phys.B Proc.Suppl.(2004)·1 citation
7. 07*

   Confinement of Color: A Review

   A. Di Giacomo🇮🇹

   The status of our understanding of the mechanisms of color confinement is reviewed, in particular the results of numerical simulations on the lattice.

   hep-lat7 citations
8. 08*

   Classical simulations and particle production in heavy-ion collisions

   Jon-Ivar Skullerud🇳🇱

   The classical approximation may be applied to a number of problems in non-equilibrium field theory. The principles and limits of classical real-time lattice simulations are presented, with particular emphasis on the definition of particle numbers and energies and on applications to the earliest stages of heavy-ion collisions.

   hep-lathep-phNucl.Phys.B Proc.Suppl.(2004)·0 citations
9. 09*

   Consistent Definitions of Flux and Electric and Magnetic Current in Abelian Projected SU(2) Lattice Gauge Theory

   Richard W. Haymaker🇺🇸 · Takayuki Matsuki🇺🇸

   Through the use of a lattice U(1) Ward-Takahashi identity, one can find a precise definition of flux and electric four-current that does not rely on the continuum limit. The magnetic four-current defined for example by the DeGrand-Toussaint construction introduces order a^2 errors in the field distributions. We advocate using a single definition of flux in order to be consistent with both the electric and magnetic Maxwell's equations at any lattice spacing. In a U(1) theory the monopoles are slightly smeared by this choice, i.e. are no longer associated with a single lattice cube. In Abelian projected SU(2) the consistent definition suggests further modifications. For simulations in the scaling window, we do not foresee large changes in the standard analysis of the dual Abrikosov vortex in the maximal Abelian gauge because the order a^2 corrections have small fluctuations and tend to cancel out. However in other gauges, the consequences of our definitions could lead to large effects which may help in understanding the choice of gauge. We also examine the effect of truncating all monopoles except for the dominant cluster on the profile of the dual Abrikosov vortex.

   hep-lat1 citation
10. 10*

    High Density Effective Theory Confronts the Fermi Liquid

    Simon Hands (University of Wales Swansea)🇬🇧

    The high density effective theory recently introduced by Hong and Hsu to describe ultradense relativistic fermionic matter is used to calculate the tree-level forward scattering amplitude between two particles at the Fermi surface. While the direct term correctly reproduces that of the underlying gauge theory, the exchange term has the wrong sign. The physical consequences are discussed in the context of Landau's theoretical description of the Fermi liquid.

    ↳ hep-phhep-latnucl-thPRD(2004)·6 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.