Tue·Nov 20, 2007Tuesday·November 20, 2007

1. 01*

   Finite density simulations using a determinant estimator

   Andrei Alexandru🇺🇸 · Anyi Li🇺🇸 · Keh-Fei Liu🇺🇸

   Previous investigations have shown that the canonical approach to simulating QCD at finite density is promising. The algorithm we used in our earlier work employs an exact calculation of the fermionic determinant which limits the size of the lattices we can simulate. Interesting questions can only be answered if we simulate at larger volume. In this paper we explore an algorithm, Hybrid Noisy Monte Carlo, that employs a determinant estimator rather than an exact calculation. We first present the technical aspects of the estimator, check that the algorithm is correct by comparing it with our previous study, and then discuss its merits. We will also discuss the challenges faced when simulating larger lattice volumes.

   hep-latPoS(2007)·15 citations
2. 02*

   New results using the canonical approach to finite density QCD

   Anyi Li🇺🇸 · Andrei Alexandru🇺🇸 · Keh-Fei Liu🇺🇸

   We present some new results regarding simulations of finite density QCD based on a canonical approach. A previous study has shown that such simulations are feasible, at least on small lattices. In the current study, we investigate some of the issues left open: we study the errors introduced by our approximation of the action and we show how to tune it to reduce the cost of the simulations while keeping the errors under control. To further reduce the cost of the simulations, we check the reliability of reweighting method with respect to the baryon number. Finally, using these optimizations, we carry out the simulations at larger densities than in our previous study to look for signals of a phase transition.

   hep-latPoS(2007)·15 citations
3. 03*

   Spontaneous creation of chromomagnetic field and A_0-condensate at high temperature on a lattice

   V.Demchik🇺🇦 · V.Skalozub🇺🇦

   In a lattice formulation of SU(2)-gluodynamics, the spontaneous generation of chromomagnetic fields at high temperature is investigated. A procedure to determine this phenomenon is developed. By means of the ${\chi }^2$-analysis of the data set accumulating $5-10\times 10^6$ Monte Carlo configurations, the spontaneous creation of the Abelian color magnetic field is indicated. The common generation of the magnetic field and $A_0$-condensate is also studied. It is discovered that the field configuration consisting of the magnetized vacuum and the $A_0$-condensate is stable.

   hep-latJ.Phys.A(2008)·8 citations
4. 04*

   New Higgs mechanism from the lattice

   F. Knechtli🇩🇪 · N. Irges🇬🇷 · M. Luz🇩🇪

   Spontaneous symmetry breaking has been observed in lattice simulations of five-dimensional gauge theories on an orbifold. This effect is reproduced by perturbation theory if it is modified to account for a finite cut-off. We present a comparison of lattice and analytic results for bulk gauge group SU(2).

   ↳ hep-phhep-latJ.Phys.Conf.Ser.(2008)·13 citations
5. 05*

   Completing Continuum Coulomb Gauge in the Functional Formalism

   P. Watson🇩🇪 · H. Reinhardt🇩🇪

   It is argued that within the continuum functional formalism, there is no need to supply a further (spatially independent) gauge constraint to complete the Coulomb gauge of Yang-Mills theory. It is shown explicitly that a natural completion of the gauge-fixing leads to a contradiction with the perturbative renormalizability of the theory.

   ↳ hep-thhep-lathep-ph7 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.