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Motion in a Random Force Field
Particles movement random gay force field
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2015/9/28
We consider the motion of a particle in a random isotropic force field. Assuming that the force field arises from a Poisson field in R d, d ≥ 4, and the initial velocity of the parti...
A solution of the Gross-Witten matrix model by nonlinear random processes
the Gross-Witten matrix model nonlinear random processes
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2011/1/6
We illustrate the stochastic method for solving the Schwinger-Dyson equations in large-N quantum field theories described in ArXiv:1009.4033 on the example of the Gross-Witten unitary matrix model. In...
A solution of the Gross-Witten matrix model by nonlinear random processes
the Gross-Witten matrix model nonlinear random processes
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2011/1/6
We illustrate the stochastic method for solving the Schwinger-Dyson equations in large-N quantum field theories described in ArXiv:1009.4033 on the example of the Gross-Witten unitary matrix model. In...
Wilson Fermions, Random Matrix Theory and the Aoki Phase
Wilson Fermions Random Matrix Theory the Aoki Phase
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2011/1/7
The QCD partition function for the Wilson Dirac operator, $D_W$, at nonzero lattice spacing $a$ can be expressed in terms of a chiral Lagrangian as a systematic expansion in the quark mass, the moment...
Collectivity under random two-body interactions
random interactions regular structure collective motion symmetry
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2009/8/17
In this paper we study collective motion under random two-body interactions in the fermion dynamical symmetry Model (FDSM). It is found that a Hamiltonian with the SO(8) symmetry of the FDSM does not ...
Some Limit Theorems for a Particle System of Single Point Catalytic Branching Random Walks
Renewal equation branching particle system scaling limit
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2007/12/10
We study the scaling limit for a catalytic branching particle system whose particles perform random walks on ${\Bbb Z}$ and can branch at 0 only. Varying the initial (finite) number of particles, we g...