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We report on our on-going project to calculate proton decay matrix elementsusing domain-wall fermions on the lattice. By summarizing the history of theproton decay calculation on the lattice, we reveal the systematic errors ofthose calculations. Then we discuss our approach to tackle those uncertaintiesand 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

Hadronic matrix elements of proton decay on the lattice