HEP Lattice·hep-lat
8 papers—6 primary·2 cross-listed·reconstructed*
Sergio Caracciolo🇮🇹 · Andrea Montanari🇫🇷 · Andrea Pelissetto🇮🇹
We consider a two-dimensional -model with discrete icosahedral/dodecahedral symmetry. Using the perturbative renormalization group, we argue that this model has a different continuum limit with respect to the O(3) model. Such an argument is confirmed by a high-precision numerical simulation.
Elmar Bittner🇦🇹 · Harald Markum🇦🇹 · Rainer Pullirsch🇦🇹
This article is the written version of a talk delivered at the Bexbach Colloquium of Science 2000 and starts with an introduction into quantum chaos and its relationship to classical chaos. The Bohigas-Giannoni-Schmit conjecture is formulated and evaluated within random-matrix theory. Several examples of physical systems exhibiting quantum chaos ranging from nuclear to solid state physics are presented. The presentation concludes with recent research work on quantum chromodynamics and the quark-gluon plasma. In the case of a chemical potential the eigenvalue spectrum becomes complex and one has to deal with non-Hermitian random-matrix theory.
QCD-TARO Collaboration: S. Choe🇯🇵 · Ph. de Forcrand🇨🇭 · M. García Pérez🇨🇭 · S. Hioki🇯🇵 · Y. Liu🇯🇵 · H. Matsufuru🇯🇵 · O. Miyamura🇯🇵 · A. Nakamura🇯🇵 · I.-O. Stamatescu🇩🇪 · T. Takaishi🇯🇵 · T. Umeda🇯🇵
Responses to chemical potential of the pseudoscalar meson screening mass and the chiral condensate in lattice QCD are investigated. On a lattice with two flavors of staggered quarks the first and second responses below and above are evaluated. Different behavior in the low and the high temperature phases are observed, which may be explained as a consequence of the chiral symmetry breaking and restoration.
Bernd Gehrmann🇩🇪 · Stefan Kurth🇩🇪 · Juri Rolf🇩🇪 · Ulli Wolff🇩🇪
We study the Schrödinger functional coupling for lattice Yang-Mills theory coupled to an improved bosonic spinor field, which corresponds to QCD with minus two light flavors. This theory serves as a less costly testcase than QCD for the scaling of the coupling.
A. Bode (1)🇺🇸 · H. Panagopoulos (2)🇨🇾 · Y. Proestos (2,3) ((1) CSIT, Tallahasse, USA, (2) Department of Physics, University of Cyprus, (3) Department of Physics, Ohio State University, USA)🇨🇾
We calculate the 3-loop bare -function of QCD, formulated on the lattice with the clover fermionic action. The dependence of our result on the number of colors , the number of fermionic flavors , and the clover parameter , is shown explicitly. A direct outcome of our calculation is the two-loop relation between the bare coupling constant and the one renormalized in the MS-bar scheme. Further, we can immediately derive the three-loop correction to the relation between the lattice -parameter and , which turns out to be very pronounced. We also calculate the critical value of the hopping parameter, , in the clover action, to two loops in perturbation theory. This quantity is an additive renormalization; as such, it exhibits a linear divergence in the lattice spacing. We compare our results to non perturbative evaluations of coming from MC simulations.
The response of the QCD vacuum to quark chemical potentials on the order of the pion mass is studied within the context of chiral perturbation theory. For two colour QCD diquark condensation sets in when the baryon chemical potential becomes larger than the pion mass. This leading order result is confirmed at next to leading order. Next a set of massive spin-one vectors is included in the effective Lagrangian and the vector masses are calculated at leading order. Massless vector modes appear when the baryon chemical potential is equal to the mass of the lightest vector at zero chemical potential. This suggest vector condensation.
S. Digal🇩🇪 · P. Petreczky🇩🇪 · H. Satz🇩🇪
We use recent lattice data on the heavy quark potential in order to determine the dissociation temperatures of different quarkonium states in hot strongly interacting matter. Our analysis shows in particular that certain quarkonium states dissociate below the deconfinement point.
Relativistic spin 1/2, as represented by Susskind's 1977 discretization of the Dirac equation on a spatial lattice, is shown to follow from basic, not typically relativistic but essentially quantum theoretic assumptions: that position eigenstates propagate to nearest neighbours while respecting lattice symmetries modulo gauge transformations.
* 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.