一个动态Yukawa \(_{2}\)模型

IF 2.2 1区物理与天体物理 Q1 PHYSICS, MATHEMATICAL

Communications in Mathematical Physics Pub Date : 2024-12-09 DOI:10.1007/s00220-024-05147-8

Ajay Chandra, Martin Hairer, Martin Peev

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引用次数: 0

摘要

我们证明了具有自相互作用玻色子的\(\hbox {Yukawa}_{{2}}\)欧几里得场论的随机量子化的温和正则版本的局部（在空间和时间上）适定性。我们的正则化动态仍然是奇异的，但避免了非局部发散，允许我们使用一个版本的Da Prato - Debussche论证（Da Prato and Debussche in Ann Probab 31(4): 1900-1916, 2003）。https://doi.org/10.1214/aop/1068646370)。该模型是一个非交换概率框架的测试案例，用于在混合玻色子和费米子的场论的随机量子化中形成奇异spde。

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A Dynamical Yukawa\(_{2}\) Model

We prove local (in space and time) well-posedness for a mildly regularised version of the stochastic quantisation of the \(\hbox {Yukawa}_{{2}}\) Euclidean field theory with a self-interacting boson. Our regularised dynamic is still singular but avoids non-local divergences, allowing us to use a version of the Da Prato–Debussche argument (Da Prato and Debussche in Ann Probab 31(4):1900–1916, 2003. https://doi.org/10.1214/aop/1068646370). This model is a test case for a non-commutative probability framework for formulating the kind of singular SPDEs arising in the stochastic quantisation of field theories mixing both bosons and fermions.

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来源期刊

Communications in Mathematical Physics 物理-物理：数学物理

CiteScore

4.70

自引率

8.30%

发文量

226

审稿时长

3-6 weeks

期刊介绍： The mission of Communications in Mathematical Physics is to offer a high forum for works which are motivated by the vision and the challenges of modern physics and which at the same time meet the highest mathematical standards.