Fractional quantum field theory, path integral, and stochastic differential equation for strongly interacting many-particle systems
Fractional quantum field theory, path integral, and stochastic differential equation for strongly interacting many-particle systems
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强相互作用多粒子系统的分数阶量子场论、路径积分和随机微分方程
DOI：
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发表时间：
2012
期刊：
影响因子：
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通讯作者：
H. Kleinert
中科院分区：
文献类型：
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作者：
H. Kleinert
自由和弱相互作用粒子由二次量子化的非线性薛定谔场或其相对论版本描述，而强相互作用粒子的场则由有效作用量控制，其二次项由分数波方程极值化。它们的粒子轨道执行普遍的Lévy行走，而不是带有扰动的高斯随机行走。
While free and weakly interacting particles are described by a second-quantized nonlinear Schrödinger 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 Lévy walks rather than Gaussian random walks with perturbations.