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Telephone: 8471-Office
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RESEARCH INTERESTS
Our interest is in Lattice QCD. Space time is replaced by a lattice of points. Dynamical variables are defined and then the lattice spacing is reduced until the lattice becomes irrelevant. This is the only way to calculate many quantities in fundamental theories. All solutions to fundamental theories must involve steps like this but this method is the only one which gives a completely consistent model, as an intermediate step, that can be simulated in its own right.
But lattice QCD is much more than just an algorithm for calculation. It is a viable framework to study fundamental properties of field theories. The confinement of quarks and gluons is one of the far-reaching properties of QCD. However a full understanding of this crucial phenomenon still eludes us. Lattice studies have helped make significant progress in our understanding.
Confinement of quarks appears to be similar to the study of superconductivity. We were the first to establish that a superconductivity feature known as an Abrikosov vortex forms between a quark and an antiquark, and that this feature accounts for quark confinement in this case.
CURRENT AND SELECTED PUBLICATIONS
- Richard W. Haymaker and Takayuki Matsuki, "Model independent approach to studies of the confining dual Abrikosov vortex in SU(2) lattice gauge theory," Phys. Rev. D 75, 014501 (2007).
e-Print: hep-lat/0505019
- Takayuki Matsuki and Richard W. Haymaker, "Consistency of lattice definitions of U(1) flux in Abelian projected SU(2) gauge theory," presented at 21st International Symposium on Lattice Field Theory (LATTICE 2003), Tsukuba, Ibaraki, Japan, 15-19-July 2003; Nucl. Phys. Proc. Suppl. 129, 641-643 (2004). Also in Tsukuba 2003, Lattice 2003, 641-643.
e-Print: hep-lat/0310017
- Richard W. Haymaker and Takayuki Matsuki, "Consistent definitions of flux and electric and magnetic current in Abelian projected SU(2) lattice gauge theory," presented at International Conference on Color Confinement and Hadrons in Quantum Chromodynamics - Confinement 2003, Wako, Japan, 21-24 July 2003; published in Wako 2003, Color Confinement and Hadrons in Quantum Chromodynamics, 60-71.
e-Print: hep-lat/0310025
- Srinath Cheluvaraja, Richard W. Haymaker and Takayuki Matsuki, "Dual Abrikosov vortex between confined charges," presented at 20th International Symposium on Lattice Field Theory (LATTICE 2002), Boston, Massachusetts, 24-29 June 2002; published in Nucl. Phys. Proc. Suppl. 119, 718-720 (2003). Also in Cambridge 2002, Lattice 718-720.
e-Print: hep-lat/0210016
- Richard W. Haymaker and Andrei Alexandru, "Connections between thin, thick and projection vortices in SU(2) lattice gauge theory," contributed to NATO Advanced Research Workshop on Confinement, Toplogy and other Nonperturbative Aspects of QCD, Stara Lesna, Slovakia 21-27 January 2002.
e-Print: hep-lat/0205002
- A. Alexandru and Richard W. Haymaker, "Connection between Tomboulis vortices and projection vortices," prepared for 19th International Symposium on Lattice Field Theory (Lattice 2001), Berlin, Germany, 19-24 August 2001; published in Nucl Phys. Proc. Suppl. 106, 667-669 (2002). Also in Berlin 2001, Lattice Field Theory, 667-669.
e-Print: hep-lat/0111020
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