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Paper detail

Two-dimensional perturbative scalar QFT and Atiyah-Segal gluing

We study the perturbative quantization of 2-dimensional massive scalar field theory with polynomial (or power series) potential on manifolds with boundary. We prove that it fits into the functorial quantum field theory framework of Atiyah-Segal. In particular, we prove that the perturbative partition function defined in terms of integrals over configuration spaces of points on the surface satisfies an Atiyah-Segal type gluing formula. Tadpoles (short loops) behave nontrivially under gluing and play a crucial role in the result.

preprint2022arXivOpen access
Santosh KandelPavel MnevKonstantin Wernli
math-phmath.MPhep-th
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Santosh KandelPavel MnevKonstantin Wernli

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