Writing in the physics journal Nuclear Physics B, two Baylor University researchers explain the development of a new mathematical algorithm that quickly solves Lattice Quantum Chromodynamics (Lattice QCD) linear equations. It marks the first time an effective method has been developed to overcome a significant bottleneck experienced by all Lattice QCD researchers.
Lattice QCD is a theory of quarks and gluons formulated and solved on a finite space-time lattice of points; however, the process of solving millions of linear equations is slowed thanks to small eigenvalues in the matrix. Eigenvalues help determine energy levels of atoms, but they also determine how fast solution methods for linear equations converge. The algorithms created by Dr. Ron Morgan, professor of mathematics at Baylor, and Dr. Walter Wilcox, professor of physics at Baylor, essentially “throw out” the small eigenvalues, thus speeding up the process considerably.
“It seems the bigger the problem, the better it works,” Wilcox said. “These methods are the culmination of a remarkable collaboration between mathematics and physics researchers and we are very pleased with the result. This will allow researchers in my field to do more, at a faster pace.”