We survey results in lattice quantum chromodynamics from groups in the USQCD Collaboration. The main focus is on physics, but many aspects of the discussion are aimed at an audience of computational physicists.

Quantum chromodynamics (QCD) is a theory for the strong interaction, one of the four fundamental interactions of Nature, based on the color quantum index. In this article we introduce a color algebra and its mathematical theory. This theory offers a mathematical foundation for QCD, is used to resolve a number of difficulties encountered in QCD, provides a good explanation of gluon radiations, a...

The current understanding of finite temperature phase transitions in QCD is reviewed. A critical discussion of refined phase transition criteria in numerical lattice simulations and of analytical tools going beyond the mean-field level in effective continuum models for QCD is presented. Theoretical predictions about the order of the transitions are compared with possible experimental manifestat...

Deep inelastic lepton nucleon scattering has been’one of the key testing grounds of QCD over the past two decades. Measurements of the nucleon and nuclear structure functions have not only tested the short-distance properties of the theory, (such as the scaling properties of structure functions and their logarithmic evolution with momentum transfer), but they have also illuminated the nonpertur...

We present a CUDA C implementation of the Conjugate Gradient (CG) and multi-mass CG solver from the MILC quantum chromodynamics package to speedup improved staggered quarks computations on NVIDIA GPUs. The implementation is built on the QUDA package from Boston University. Keywordsquantum chromodynamics; MILC; GPU

An update of measurements of the strong coupling constant αs is given, representing the status of September 2002. The results convincingly prove the energy dependence of αs and are in excellent agreement with the expectations of Quantum Chromodynamics, QCD. Evolving all results to the rest energy of the Z boson, the new world average of αs(MZ) is determined from measurements which are based on ...

We consider here chiral symmetry breaking in quantum chromodynamics arising from gluon condensates in vacuum. Through coherent states of gluons simulating a mean field type of approximation, we show that the off-shell gluon condensates of vacuum generate a mass-like contribution for the quarks, giving rise to chiral symmetry breaking. We next note that spontaneous breaking of global chiral symm...