论文标题

基质模型的非本地场理论

Non-local Field Theory from Matrix Models

论文作者

Banburski, Andrzej, Lanier, Jaron, Shyam, Vasudev, Smolin, Lee, Yargic, Yigit

论文摘要

我们表明,一类矩阵理论可以理解为具有非本地相互作用的量子场理论的扩展。该重新制定基于Wigner-Weyl的转换,相互作用以双重几何形状以Moyal产品的形式形式。我们将时空上的局部动力恢复为低能极限。该框架为研究新型高能现象的可能性开辟了可能性,包括量规理论中规格和几何对称性的统一。

We show that a class of matrix theories can be understood as an extension of quantum field theory which has non-local interactions. This reformulation is based on the Wigner-Weyl transformation, and the interactions take the form of Moyal product on a doubled geometry. We recover local dynamics on the spacetime as a low-energy limit. This framework opens up the possibility for studying novel high-energy phenomena, including the unification of gauge and geometric symmetries in a gauge theory.

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