标题： 非交换场论的参数表示 显示英文标题

标题： Parametric Representation of Noncommutative Field Theory

摘要： 在本文中，我们研究了最近发现的可重整化$\phi^4_4$量子场理论在Moyal非对易${\mathbb R^4}$空间上的费曼振幅的施温格参数表示。这种表示涉及新的{\it 双曲的}多项式，它们是通常“基尔霍夫”或“西曼尼克”多项式的非对易类似物，但包含更丰富的拓扑信息。 显示英文摘要

摘要： In this paper we investigate the Schwinger parametric representation for the Feynman amplitudes of the recently discovered renormalizable $\phi^4_4$ quantum field theory on the Moyal non commutative ${\mathbb R^4}$ space. This representation involves new {\it hyperbolic} polynomials which are the non-commutative analogs of the usual "Kirchoff" or "Symanzik" polynomials of commutative field theory, but contain richer topological information.