Journal Article

PUBDB-2019-03777

http://join2-wiki.gsi.de/foswiki/pub/Main/Artwork/join2_logo100x88.png Zeta-regularized vacuum expectation values

Hartung, T. (Corresponding author)Extern* ; Jansen, K. (Corresponding author)DESY*

2019
American Inst. of Physics College Park, Md.

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Please use a persistent id in citations: doi:10.1063/1.5085866  doi:10.3204/PUBDB-2019-03777

Report No.: DESY-18-139; arXiv:1808.06784

Abstract: It has recently been shown that vacuum expectation values and Feynman path integrals can be regularized using the Fourier integral operator ζ-function, yet the physical meaning of these ζ-regularized objects was unknown. Here, we show that ζ-regularized vacuum expectations appear as continuum limits using a certain discretization scheme. Furthermore, we study the rate of convergence for the discretization scheme using the example of a one-dimensional hydrogen atom in (−π, π) which we evaluate classically, using the Rigetti quantum virtual machine and on the Rigetti 8Q quantum chip “Agave” device. We also provide the free radiation field as an example for the computation of ζ-regularized vacuum expectation values in a gauge theory.

Note: © Author(s).

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Contributing Institute(s):

1. NIC (ZEU-NIC)

Research Program(s):

1. 611 - Fundamental Particles and Forces (POF3-611) (POF3-611)

Experiment(s):

1. No specific instrument

Appears in the scientific report 2019

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Database coverage:
; ; ; Clarivate Analytics Master Journal List ; Current Contents - Physical, Chemical and Earth Sciences ; Ebsco Academic Search ; IF < 5 ; JCR ; National-Konsortium ; Nationallizenz ; PubMed Central ; SCOPUS ; Science Citation Index ; Science Citation Index Expanded ; Web of Science Core Collection

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Linked articles:

http://join2-wiki.gsi.de/foswiki/pub/Main/Artwork/join2_logo100x88.png Preprint/Report Hartung, T. (Corresponding author) ; Jansen, K.DESY*
Quantum computing of zeta-regularized vacuum expectation values
[10.3204/PUBDB-2018-03386]     Files  Fulltext by arXiv.org BibTeX | EndNote: XML, Text | RIS

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