Unwrapping phase fluctuations in one dimension
Name
LATTICE2018_176.pdf
Description
Published version
Size
1.54 MB
Format
Unknown
Checksum (MD5)
71bdcdbd99b831626bd688f2ec0abeda
Author(s)
Wagman, Michael L
Detmold, William
Kanwar, Gurtej S.
Date Issued
2019
Journal
Proceedings of Science
Publisher
Sissa Medialab
Version
Final published version
Abstract
© Copyright owned by the author(s) under the terms of the Creative Commons. Correlation functions in one-dimensional complex scalar field theory provide a toy model for phase fluctuations, sign problems, and signal-to-noise problems in lattice field theory. Phase unwrapping techniques from signal processing are applied to lattice field theory in order to map compact random phases to noncompact random variables that can be numerically sampled without sign or signal-to-noise problems. A cumulant expansion can be used to reconstruct average correlation functions from moments of unwrapped phases, but points where the field magnitude fluctuates close to zero lead to ambiguities in the definition of the unwrapped phase and significant noise at higher orders in the cumulant expansion. Phase unwrapping algorithms that average fluctuations over physical length scales improve but do not completely resolve these issues in one dimension. Similar issues are seen in other applications of phase unwrapping, where they are found to be more tractable in higher dimensions.
MIT Department
Massachusetts Institute of Technology. Center for Theoretical Physics
Massachusetts Institute of Technology. Department of Physics
Terms of Use
Creative Commons Attribution-NonCommercial-NoDerivs License
Persistent DSpace Link
DOI of Published Version
https://doi.org/10.22323/1.334.0176
