Time-Dependent Hartree-Fock Solution of Gross-Neveu models: Twisted Kink Constituents of Baryons and Breathers
Gerald V. Dunne, Michael Thies
TL;DR
This paper provides a comprehensive solution to the time-dependent Hartree-Fock problem in Gross-Neveu models, revealing new multi-baryon and breather solutions and demonstrating their composition from twisted kinks.
Contribution
It introduces the first general time-dependent Hartree-Fock solutions for both GN2 and NJL2 models, including novel multi-baryon and breather configurations.
Findings
Discovered new multi-baryon and breather solutions.
Showed GN2 baryons are composed of twisted kinks from NJL2.
Provided a unified framework for time-dependent solutions.
Abstract
We find the general solution to the time-dependent Hartree-Fock problem for the Gross-Neveu models, with both discrete (GN2) and continuous (NJL2) chiral symmetry. We find new multi-baryon, multi-breather and twisted breather solutions, and show that all GN2 baryons and breathers are composed of constituent twisted kinks of the NJL2 model.
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