Addition of benzylic and allylic organozinc and Grignard reagents to resin-bound imines to provide alpha-branched secondary amines bearing a wide variety of functional groups. Utility in the synthesis of beta-3 adrenergic receptor agonists

Benzylic and allylic organozinc and Grignard reagents have been added to resin-bound imines to provide alpha-branched secondary amines. Many functional groups, including electrophilic groups, were compatible with this methodology. Three modules--a resin-bound primary amine, an aromatic aldehyde, and the organometallic--were independently varied to produce a combinatorial library of alpha-branched secondary amines designed as beta-3 adrenergic receptor agonists.     

Recent advances in lattice gauge theories

Recent progress in the field of lattice gauge theories is briefly reviewed for a nonspecialist audience. While the emphasis is on the latest and more definitive results that have emerged prior to this symposium, an effort has been made to provide them with minimal technicalities.     

Quark number susceptibilities and the Wróblewski parameter

The Wróblewski parameter is a convenient indicator of strangeness production and can be employed to monitor a signal of quark-gluon plasma production : enhancement of strangeness production. It has been shown to be about a factor two higher in heavy ion collisions than in hadronic collisions. Using a method proposed by us earlier, we obtained lattice QCD results for the Wróblewski parameter from our simulations of QCD with two light quarks both below and above the chiral transition. Our first principles based and parameter free result compare well with the A-A data from SPS and RHIC.Arrival of the final proofs: 24 March 2005PACS: 12.38.Mh, 12.38.GcR.V. Gavai: Alexander von Humboldt Fellow on leave from TIFR, Mumbai and speaker at the conference.     

Universality in finite temperature lattice QCD

In the lattice regularization of QCD, physical results must be independent of the choice of lattice action. Finite temperature thermodynamics provides a very sensitive test of this universality, providing a functional comparison between the predictions of different actions. We study thermodynamics using Wilson's, Manton's and Villain's actions as well as the mixed fundamental-adjoint form of Bhanot and Creutz. Our results support universality in all cases, but indicate that in general the region of couplings in present lattice calculations requires the inclusion of higher order effects in the perturbative solution of the renormalization group equation.     

On the thermodynamics of an ideal fermi gas on the lattice at finite density

We study the ideal gas of fermions on a lattice at finite density for both naive and Wilson fermions. Comparing the thermodynamical quantities thus calculated with the known results in the continuum theory, we are led to propose a modification of the naive form of the lattice action, which is same for both the naive and the Wilson fermions. The thermodynamical quantities, calculated by using this form, are shown to have the correct continuum limit.     

A model for ω, φ and baryonium mixing

We propose a model of ω-π-baryonium mixing which is a natural extension of the Chew-Rosenzweig scheme to include the effects of mixing of I = 0 baryonium. We find that under reasonable phenomenological constraints, the maximum possible ω-baryonium mixing predicted by the model is consistent with the existing phenomenological limits.     

Renormalized Polyakov loop in the fixed scale approach

I compute the deconfinement order parameter for the SU(2)$\mathit{SU}(2)$ lattice gauge theory, the Polyakov loop, using the fixed scale approach for two different scales and show how one can obtain a physical, renormalized, order parameter. The generalization to other gauge theories, including quenched or full QCD, is straightforward.