Courses

Epic of Evolution: Life, Earth, and the Cosmos; Classical Electrodynamics, Quantum Mechanics

Research Interests
Professor Bernard's research focuses primarily on the nonperturbative effects of the strong interactions. Much of this work is numerical, using the techniques of lattice gauge theory. In recent years, he has collaborated in these numerical computations with the members of the MILC collaboration, which includes professors and senior researchers at several other US universities. A particular interest is computing the effects of strong interactions on weak interaction processes involving quarks. Such computations are crucial to the interpretation of weak interaction experiments and may ultimately point to new physics beyond the Standard Model of particle physics. Other research interests include the study of chiral lagrangians (which extract physical information about the strong interactions from symmetry principles) and the perturbative calculations needed to relate lattice results to continuum answers.

Selected Publications:

C. Bernard, ``Staggered Chiral Perturbation Theory and the Fourth-Root Trick,'' Phys. Rev. D73, 114503 (2006) [hep-lat/0603011].

C. Bernard, M. Golterman, and Y. Shamir, “Regularizing QCD with staggered fermions and the fourth root trick,” presented at the International Symposium, Lattice 2006, Tucson, Arizona, July 23-28, 2006, to be published in Proceedings of Science., hep-lat/0610003.

C. Bernard, C. DeTar, Ziwen Fu, and S. Prelovsek, “Taste breaking effects in scalar meson correlators,” presented at the International Symposium, Lattice 2006, Tucson, Arizona, July 23-28, 2006, to be
published in Proceedings of Science., hep-lat/0610031.

The MILC Collaboration (C. Bernard, T. Burch, C. DeTar, Steven Gottlieb, U.M. Heller, J.E. Hetrick, L. Levkova, D. Renner, R. Sugar, D. Toussaint), “The QCD equation of state with asqtad staggered fermions,” presented at the International Symposium, Lattice 2006, Tucson, Arizona, July 23-28, 2006, to be published in Proceedings of Science., hep-lat/0610017.

The MILC Collaboration (C. Bernard, C. DeTar, Steven Gottlieb, U.M. Heller, J.E. Hetrick, L. Levkova, J. Osborn, D. Renner, R. Sugar, D. Toussaint), “Low energy constants from the MILC Collaboration,” to be published in the proceedings of Chiral Dynamics 2006, Duke University, Sept. 18-22, 2006, hep-lat/0611024.

The MILC Collaboration (C. Bernard, T. Burch, C. DeTar, Steven Gottlieb, L. Levkova, U.M. Heller, J.E. Hetrick, R. Sugar, D. Toussaint) "QCD equation of state with 2+1 flavors of improved staggered quarks,” submitted to Phys. Rev. D, hep-lat/0611031.