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arXiv · 2305.07388

A Dynamical Yukawa$_{2}$ Model

Ajay Chandra·Martin Hairer·Martin Peev
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Abstract

We prove local (in space and time) well-posedness for a mildly regularised version of the stochastic quantisation of the 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. 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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BibTeXRIS

Ajay Chandra, Martin Hairer, Martin Peev. 2023-05-12. A Dynamical Yukawa$_{2}$ Model. https://arxiv.org/abs/2305.07388

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