非阿基米德统计场论

arXiv: Mathematical Physics Pub Date : 2020-06-09 DOI:10.1142/s0129055x22500222

W. A. Z'uniga-Galindo

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引用次数: 7

摘要

我们以严格的数学方法在p进时空上构造相互作用的量子场论。主要结果是在函数空间上构造了一个测度，它允许严格地定义配分函数。相关函数的计算以标准形式进行。对于$\varphi^{4}$-理论，我们证明了允许自发对称性破缺的系统的存在性。

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Non-Archimedean Statistical Field Theory

We construct in a rigorous mathematical way interacting quantum field theories on a p-adic spacetime. The main result is the construction of a measure on a function space which allows a rigorous definition of the partition function. The calculation of the correlation functions is carried out in the standard form. In the case of $\varphi^{4}$-theories, we show the existence of systems admitting spontaneous symmetry breaking.

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arXiv: Mathematical Physics

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