ONE-DIMENSIONAL QUANTUM LATTICE BOLTZMANN SCHEME FOR THE NONLINEAR DIRAC EQUATION

Silvia Palpacelli (), Paul Romatschke () and Sauro Succi ()
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Silvia Palpacelli: Numidia s.r.l., via G. Peroni, 130, 00131, Roma, Italy
Paul Romatschke: Department of Physics, 390 UCB, University of Colorado, Boulder, CO 80309-0390, USA
Sauro Succi: Istituto Applicazioni Calcolo, CNR, via dei Taurini 19, 00185, Roma, Italy

International Journal of Modern Physics C (IJMPC), 2013, vol. 24, issue 12, 1-10

Abstract: We develop a quantum lattice Boltzmann (QLB) scheme for the Dirac equation with a nonlinear fermion interaction provided by the Nambu–Jona-Lasinio (NJL) model. Numerical simulations in 1 + 1 space-time dimensions, provide evidence of dynamic mass generation, through spontaneous breaking of chiral symmetry.

Keywords: Dirac equation; spontaneous symmetry breaking; quantum lattice Boltzmann; 31.30.J-; 02.60.Cb; 05.30.Fk; 11.30.Rd (search for similar items in EconPapers)
Date: 2013
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DOI: 10.1142/S0129183113400019

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