Abstract:There is strong evidence for the conjecture that the $\lambda \phi^4$ QFT- model on 4-dimensional non-commutative Moyal space can be non-perturbatively constructed. As preparation, in this paper we construct the 2-dimensional case with the method of stochastic quantization. We show the local well-posedness and global well-posedness of the stochastic quantization equation, leading to a construction of the Moyal $\lambda \phi^4_2$ measure for any non-negative coupling constant $\lambda$.
From: Hendrik Weber [view email]
[v1]
Tue, 4 Feb 2025 14:39:20 UTC (7,235 KB)
[v2]
Fri, 23 May 2025 13:19:41 UTC (7,236 KB)
[v3]
Thu, 10 Sep 2026 20:05:04 UTC (7,239 KB)
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