统计场论在不同结石中的变形
Statistical field theories deformed within different calculi
摘要：
在基本变形和有限差分演算的框架内，以及由Tsallis，安倍晋三和Kaniadakis提出的变形程序由Naudts推广，我们开发了统计分布场的场论方案。我们构建了一组生成泛函，并找到它们与相应的基本变形，有限差分，Kaniadakis演算的计算器的连接。此外，我们还引入了一对可加泛函，它们的变形级数展开得到了格林函数和它们的不可约真顶点。我们也发现正式的方程，由系统的生成泛函，具有对称性，相对于一个字段的变化，并受到任意约束。最后，我们概括领域理论的计划固有的具体结石的Naudts精神。
英文摘要：
Within framework of basic-deformed and finite-difference calculi, as well as deformation procedures proposed by Tsallis, Abe, and Kaniadakis to be generalized by Naudts, we develop field-theoretical schemes of statistically distributed fields. We construct a set of generating functionals and find their connection with corresponding correlators for basic-deformed, finite-difference, and Kaniadakis calculi. Moreover, we introduce pair of additive functionals, whose expansions into deformed series yield both Green functions and their irreducible proper vertices. We find as well formal equations, governing by the generating functionals of systems which possess a symmetry with respect to a field variation and are subjected to an arbitrary constrain. Finally, we generalize field-theoretical schemes inherent in concrete calculi in the Naudts spirit.
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