Noncommutative Field Theory
Non commutative field theory is the study of field theories defined on spaces whose coordinates do not commute. A simple example of such a space is the phase space of quantum mechanics. Such spaces also arise in string theory in the presence of a nonzero Kalb-Ramond B field and solitons in such theories have remarkable properties. My work on this topic includes the construction of D-branes as noncommutative solitons, the construction of exact noncommutative solitons, discovery of a connection between noncommutative tachyons and K theory, a bound on noncommutativity in the real world based on connections betweenoncommutative field theory and Lorentz violation, a study of the topology of the gauge group in noncommutative gauge theory, and a review of some of this material
Research Papers:
D-branes and Strings as noncommutative solitons, with P.Kraus, F.Larsen and E.J.Martinec,
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Exact noncommutative solitons, with P. Kraus and F. Larsen
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Noncommutative tachyons and K-theory, with G.W.Moore,
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Tensionless branes and discrete gauge symmetry, with P.Kraus and F.Larsen,
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Noncommutative field theory and Lorentz violation, with S.M.Carroll, V.A.Kostelecky, C.D.Lane and T.Okamoto,
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Topology of the gauge group in noncommutative gauge theory,
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Review Paper
Komaba lectures on noncommutative solitons and D-branes,
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Contact Information
Email: j-harvey at uchicago.edu
Phone: +1 773-702-9897
Work Address: Enrico Fermi Institute, 5620 Ellis Ave., Chicago IL 60637 USA
