Wednesday, October 10, 2012

1210.2630 (H. Kleinert)

Fractional Quantum Field Theory, Path Integral, and Stochastic
Differential Equation for Strongly Interacting Many-Particle Systems
   [PDF]

H. Kleinert
While free and weakly interacting particles are well described by a a second-quantized nonlinear Schr\"odinger field, or relativistic versions of it, the fields of strongly interacting particles are governed by effective actions, whose quadratic terms are extremized by fractional wave equations. Their particle orbits perform universal L\'evy walks rather than Gaussian random walks with perturbations.
View original: http://arxiv.org/abs/1210.2630

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