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Gross-Neveu Models, Nonlinear Dirac Equations, Surfaces and Strings
Gross-Neveu Models Nonlinear Dirac Equations
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2010/12/23
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. ...
Electromagnetic Klein-Gordon and Dirac equations in scale relativity
Electromagnetic Klein-Gordon Dirac equations scale relativity
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2010/10/27
We present a new step in the foundation of quantum field theory with the tools of scale relativity. Previously, quantum motion equations (Schr¨odinger, Klein-Gordon, Dirac, Pauli) have been derived as...
Basic quantum mechanics for three Dirac equations in a curved spacetime
Dirac equation gravitation current conservation Hermitian Hamiltonian tensor representation
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2010/6/30
We study the basic quantum mechanics for a fully general set of Dirac matrices in a curved spacetime by extending Pauli’s method. We further extend this study to three versions of the Dirac equation: ...
Non-relativistic Limit of Dirac Equations in Gravitational
Field and Quantum Effects of Gravity
quantum gravity gauge field quantum effects of gravity
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2007/8/15
2006Vol.45No.3pp.452-456DOI:
Non-relativistic Limit of Dirac Equations in Gravitational
Field and Quantum Effects of Gravity
WU Ning
Institute of High Energy Physics, P....
Some Properties of Multi-symplectic Runge-Kutta Methods for Nonlinear Dirac Equations
Multi-symplectic RK methods Conservation Laws Nonliear Dirac Equations
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2012/7/31
In this paper, we investigate some properties of the multi-symplectic Runge-Kutta (MSRK) methods for nonlinear Dirac equations in relativistic quantum physics. It is showed that the symplectic Runge-K...