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arXiv · 1912.01276

Zeta-regularized vacuum expectation values from quantum computing simulations

Karl Jansen·Tobias Hartung
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Abstract

The zeta-regularization allows to establish a connection between Feynman's path integral and Fourier integral operator zeta-functions. This fact can be utilized to perform the regularization of the vacuum expectation values in quantum field theories. In this proceeding, we will describe the concept of the zeta-regularization, give a simple example and demonstrate that quantum computing can be employed to numerically evaluate zeta-regulated vacuum expectation values on a quantum computer.

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Karl Jansen, Tobias Hartung. 2019-12-03. Zeta-regularized vacuum expectation values from quantum computing simulations. https://arxiv.org/abs/1912.01276

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