University of Connecticut

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Particle, Astrophysics, and Nuclear Physics Seminar

Monday, December 6, 2010
2:00pm – 3:30pm

Storrs Campus
Gant Science Complex P-121

Gokce Basar, Graduate Student, in the UConn Physics Department

“Gross-Neveu models, Nonlinear Dirac Equations and Strings.”

Recent studies of the thermodynamic phase diagrams of the Gross-Neveu model (GN2 ), and its chiral cousin, the NJL2 model, have shown that there are phases with inhomogeneous crystalline condensates. These (static) condensates can be found analytically because the relevant Hartree-Fock and gap equations can be reduced to the nonlinear Schrodinger equation, whose deformations are governed by the mKdV and AKNS integrable hierarchies, respectively. There are also time-dependent solutions describing baryon scattering solutions in massless GN2 model which are associated with sinh-gordon equation and can be mapped directly to classical string solutions in AdS3. We give a simple geometric construction that explains why these well-known integrable systems underlie these various Gross-Neveu gap equations, and why there should be a connection to classical string theory solutions.


Dawn Rawlinson 486-4916

Physics Department (primary)

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