Group-theoretical construction of extended baryon operators

The design and implementation of large sets of spatially extended baryon operators for use in lattice simulations are described. The operators are constructed to maximize overlaps with the low-lying states of interest, while minimizing the number of sources needed in computing the required quark propagators.Comment: 3 pages, 3 tables, talk presented at Lattice2004(spectrum), Fermilab, June 21-26, 200

Impact of Acute Ethanol Injections on Medial Prefrontal Cortex Neural Activity

Indiana University-Purdue University Indianapolis (IUPUI)The medial prefrontal cortex (mPFC) is a cortical brain region involved in the evaluation and selection of motivationally relevant outcomes. mPFC-mediated cognitive functions are impaired following acute alcohol exposure. In rodent models, ethanol (EtOH) doses as low as 0.75 g/kg yield deficits in cognitive functions. These deficits following acute EtOH are thought to be mediated, at least in part, by decreases in mPFC firing rates. However, these data have been generated exclusively in anesthetized rodents. To eliminate the potentially confounding role of anesthesia on EtOH modulated mPFC activity, the present study investigated the effects of acute EtOH injections on mPFC neural activity in awake-behaving rodents. We utilized three groups: the first group received 2 saline injections during the recording. The second group received a saline injection followed 30 minutes later by a 1.0 g/kg EtOH injection. The last group received a saline injection followed 30 minutes later by a 2.0 g/kg EtOH injection. One week following the awake-behaving recording, an anesthetized recording was performed using one dose of saline followed 30 minutes later by one dose of 1.0 g/kg EtOH in order to replicate previous studies. Firing rates were normalized to a baseline period that occurred 5 minutes prior to each injection. A 5-minute time period 30 minutes following the injection was used to compare across groups. There were no significant differences across the awake-behaving saline-saline group, indicating no major effect on mPFC neural activity as a result of repeated injections. There was a significant main effect across treatment & behavioral groups in the saline-EtOH 1.0 g/kg group with reductions in the EtOH & Sleep condition. In the saline-EtOH 2.0 g/kg, mPFC neural activity was only reduced in lowered states of vigilance. This suggests that EtOH only causes gross changes on neural activity when the animal is not active and behaving. Ultimately this means that EtOH’s impact on decision making is not due to gross changes in mPFC neural activity and future work should investigate its mechanism

Quarks, Gluons and Frustrated Antiferromagnets

The Contractor Renormalization Group method (CORE) is used to establish the equivalence of various Hamiltonian free fermion theories and a class of generalized frustrated antiferromagnets. In particular, after a detailed discussion of a simple example, it is argued that a generalized frustrated SU(3) antiferromagnet whose single-site states have the quantum numbers of mesons and baryons is equivalent to a theory of free massless quarks. Furthermore, it is argued that for slight modification of the couplings which define the frustrated antiferromagnet Hamiltonian, the theory becomes a theory of quarks interacting with color gauge-fields.Comment: 21 pages, Late

Baryonic sources using irreducible representations of the double-covered octahedral group

Irreducible representations (IRs) of the double-covered octahedral group are used to construct lattice source and sink operators for three-quark baryons. The goal is to achieve a good coupling to higher spin states as well as ground states. Complete sets of local and nonlocal straight-link operators are explicitly shown for isospin 1/2 and 3/2 baryons. The orthogonality relations of the IR operators are confirmed in a quenched lattice simulation.Comment: Talk presented at Lattice2004(heavy), Fermilab, June 21-26, 2004, 3 page

Nucleon, Δ\Delta and Ω\Omega excited states in Nf=2+1N_f=2+1 lattice QCD

The energies of the excited states of the Nucleon, $\Delta$ and $\Omega$ are computed in lattice QCD, using two light quarks and one strange quark on anisotropic lattices. The calculation is performed at three values of the light quark mass, corresponding to pion masses $m_{\pi}$ = 392(4), 438(3) and 521(3) MeV. We employ the variational method with a large basis of interpolating operators enabling six energies in each irreducible representation of the lattice to be distinguished clearly. We compare our calculation with the low-lying experimental spectrum, with which we find reasonable agreement in the pattern of states. The need to include operators that couple to the expected multi-hadron states in the spectrum is clearly identified.Comment: Revised for publication. References added, Table VI expanded to add strange baryon multiparticle thresholds and multiparticle thresholds added to Figs. 4, 5 and 6. 15 pages, 6 figure

Perturbative coefficients for improved actions by Monte Carlo at large β\beta

Perturbative estimates of operator coefficients for improved lattice actions are becoming increasingly important for precision simulations of many hadronic observables. Following previous work by Dimm, Lepage, and Mackenzie, we consider the feasibility of computing operator coefficients from numerical simulations deep in the perturbative region of lattice theories. Here we introduce a background field technique that may allow for the computation of the coefficients of clover-field operators in a variety of theories. This method is tested by calculations of the renormalized quark mass in lattice NRQCD, and of the $O(\alpha_s)$ clover coefficient for Sheikholeslami-Wohlert fermions. First results for the coefficient of the magnetic moment operator in NRQCD are also presented.Comment: 3 Pages, LaTeX (espcrc2.sty, uses \psfig), 3 Postscript figures, Talk presented at LATTICE'97, Edinburg

Ab Initio Study of Hybrid b-bar-gb Mesons

Hybrid b-bar-gb molecules in which the heavy b-bar-b pair is bound together by the excited gluon field g are studied using the Born-Oppenheimer expansion and numerical simulations. The consistency of results from the two approaches reveals a simple and compelling physical picture for heavy hybrid states.Comment: 4 pages, 3 figures, uses REVTeX and epsf, final published versio

Continuum Limit of Scalar Masses and Mixing Energies

We evaluate the continuum limit of the valence approximation to the mass of scalar quarkonium and to the scalar quarkonium-glueball mixing energy for a range of different quark masses. Our results answer several questions raised by the proposed identification of $f_0(1710)$ as composed primarily of the lightest scalar glueball.Comment: 3 pages, 2 PostScript figures, LATTICE98(spectrum), one reference correcte

Scalar Quarkonium Masses and Mixing with the Lightest Scalar Glueball

We evaluate the continuum limit of the valence (quenched) approximation to the mass of the lightest scalar quarkonium state, for a range of different quark masses, and to the mixing energy between these states and the lightest scalar glueball. Our results support the interpretation of $f_0(1710)$ as composed mainly of the lightest scalar glueball.Comment: 14 pages of Latex, 5 PostScript figure