Calculation of CP Violation in Non-leptonic Kaon Decay on the Lattice

We give a progress report of our lattice calculation of direct and indirect CP violation in kaon decays, parametrized as $\epsilon'/\epsilon$ and $B_K$, which require non-perturbative calculation of the matrix elements of the Standard Model effective Hamiltonian.Comment: Talk presented at CIPANP2003, New York City, May 19-24, 2003, 4 pages, 5 eps figure

Hadronic matrix elements of proton decay on the lattice

We report on our on-going project to calculate proton decay matrix elements using domain-wall fermions on the lattice. By summarizing the history of the proton decay calculation on the lattice, we reveal the systematic errors of those calculations. Then we discuss our approach to tackle those uncertainties and show our preliminary results on the matrix elements.Comment: 4 pages, 2 figures, talk presented at CIPANP2003: Conference on the Intersections of Particle and Nuclear Physics, New York City, May 19-24, 200

Heavy quark thermodynamics in full QCD

We analyze the large-distance behaviour of static quark-anti-quark pair correlations in QCD. The singlet free energy is calculated and the entropy contribution to it is identified allowing us to calculate the excess internal energy. The free energy has a sharp drop in the critical region, leading to sharp peaks in both excess entropy and internal energy.Comment: talk given at Quark Matter 200

Transition temperature in QCD with physical light and strange quark masses

We present results from a calculation of the transition temperature in QCD with two light and one heavier (strange) quark mass on lattices with temporal extent N_t =4 and 6. Calculations with improved staggered fermions have been performed with a strange quark mass fixed close to its physical value and for various light to strange quark mass ratios that correspond to light pseudo-scalar masses in the range (150-500) MeV. From a combined extrapolation to the chiral (m_l -> 0) and continuum (aT -> 0) limits we obtain for the transition temperature at the physical point T_c = 192(7)(4) MeV. We also present first results from an ongoing calculation of the QCD equation of state with almost realistic light and strange quark masses.Comment: 4 pages, 4 figures, to appear in the proceedings of the 19th International Conference on Ultra-Relativistic Nucleus-Nucleus Collisions, Shanghai, Nov. 200