Time-Dependent Hartree-Fock Solution of Gross-Neveu models: Twisted Kink Constituents of Baryons and Breathers

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.

5 pages, 2 figures

References in corpus (5)

• Theory of ultracold Fermi gases
• Quantum critical transport, duality, and M-theory
• Moduli Dynamics of AdS_3 Strings
• Self-consistent multiple complex-kink solutions in Bogoliubov-de Gennes and chiral Gross-Neveu systems
• Exact solution of N baryon problem in the Gross-Neveu model

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• Integrable Systems and Spacetime Dynamics
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• On reflectionless nature of self-consistent multi-soliton solutions in Bogoliubov-de Gennes and chiral Gross-Neveu models
• Nambu-Jona Lasinio and Nonlinear Sigma Models in Condensed Matter Systems
• Exhaustive derivation of static self-consistent multi-soliton solutions in the matrix Bogoliubov-de Gennes systems
• Non-Abelian twisted kinks in chiral Gross-Neveu model with isospin
• Gross-Neveu model with O(2)${}_L\times$O(2)${}_R$ chiral symmetry: Duality with Zakharov-Mikhailov model and large $N$ solution
• Revisiting the spatially inhomogeneous condensates in the $(1+1)$-dimensional chiral Gross-Neveu model via the bosonic two-point function in the infinite-$N$ limit
• Untwisting twisted NJL${}_2$-kinks by a bare fermion mass
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• Tsunami Solitons Emerging from Superconducting Gap
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• Fermion number of twisted kinks in the NJL${}_2$ model, revisited
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• Supersymmetric construction of self-consistent condensates in large N GN model: solitons on finite-gap potentials
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