Zeta-regularized vacuum expectation values from quantum computing simulations
High Energy Physics - Lattice
2019-12-04 v1 Mathematical Physics
math.MP
Quantum Physics
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.
Keywords
Cite
@article{arxiv.1912.01276,
title = {Zeta-regularized vacuum expectation values from quantum computing simulations},
author = {Karl Jansen and Tobias Hartung},
journal= {arXiv preprint arXiv:1912.01276},
year = {2019}
}
Comments
14 pages, 1 figure, proceedings of the 37th International Symposium on Lattice Field Theory, 16-22 June 2019, Wuhan, China