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The following paper was featured with a Synopsis by the APS:
* Gerald V. Dunne, Christian Fitzner, Michael Thies, ``Baryon-baryon scattering in the Gross-Neveu model: the large N solution'': arXiv:1108.5888 [hep-th] , Phys. Rev. D 84, 105014 (2011)
The phase diagram of the Gross-Neveu models is derived in:
* Gokce Basar, Gerald V. Dunne, Michael Thies, ``Inhomogeneous Condensates in the Thermodynamics of the Chiral NJL_2 model'', arXiv:0903.1868 , published in PhysRevD.79.105012.
This solution was made possible by the discovery of a new exact crystalline solution to the gap equation:
* Gokce Basar, Gerald V. Dunne, ``Self-consistent crystalline condensate in chiral Gross-Neveu and Bogoliubov-de Gennes systems'', [arXiv:0803.1501 [hep-th]], published in Phys.Rev.Lett. 100 (2008) 200404.
* Gokce Basar, Gerald V. Dunne, ``A Twisted Kink Crystal in the Chiral Gross-Neveu model'', [arXiv:0806.2659 [hep-th]], published in Phys.Rev. D78 (2008) 065022.
A novel geometric formulation of the gap equation problem, and its connection to string theory is explained in:
* Gokce Basar, Gerald V. Dunne, ``Gross-Neveu Models, Nonlinear Dirac Equations, Surfaces and Strings'', arXiv:1011.3835 , published in JHEP 1101:127,2011
A formulation of the problem of finding inhomogeneous condensates in the language of world line path integrals:
* Gerald Dunne, Holger Gies, Klaus Klingmuller, Kurt Langfeld, ``Worldline Monte Carlo for fermion models at large N(f)'', arXiv:0903.4421 [hep-th]]arXiv:0903.4421 [hep-th]], published in JHEP 0908 (2009) 010
The explanation of why an analytic solution is possible for this system, and its relation to quantum mechanical supersymmetry:
* Francisco Correa, Gerald V. Dunne, Mikhail S. Plyushchay, ``The Bogoliubov-de Gennes system, the AKNS hierarchy, and nonlinear quantum mechanical supersymmetry'', arXiv:0904.2768, published in Annals of Physics Volume 324, Issue 12, December 2009, Pages 2522-2547
* See a conference summary of our work.
send e-mail to: gerald.dunne at uconn.edu
Back to Gerald Dunne's webpage