Journal article
Multiresolution decomposition of quantum field theories using wavelet bases
Physical review. D, Vol.95(9), 094501
10/27/2016
DOI: 10.1103/PhysRevD.95.094501
Abstract
We investigate both the theoretical and computational aspects of using wavelet bases to perform an exact decomposition of a local field theory by spatial resolution. The decomposition admits natural volume and resolution truncations. We demonstrate that flow equation methods can be used to eliminate short-distance degrees of freedom in truncated theories. The method is tested on a free scalar field in one dimension, where the spatial derivatives couple the degrees of freedom on different scales, although the method is applicable to more complex field theories. The flow equation method is shown to decouple both distance and energy scales in this example. The response to changing the volume and resolution cutoffs and the mass is discussed.
Details
- Title: Subtitle
- Multiresolution decomposition of quantum field theories using wavelet bases
- Creators
- Tracie Michlin - University of IowaW. N Polyzou - University of IowaFatih Bulut - Inonu University
- Resource Type
- Journal article
- Publication Details
- Physical review. D, Vol.95(9), 094501
- DOI
- 10.1103/PhysRevD.95.094501
- ISSN
- 2470-0010
- eISSN
- 2470-0029
- Grant note
- DOI: 10.13039/100000015, name: U.S. Department of Energy, award: DE-SC0016457; DOI: 10.13039/100006209, name: Nuclear Physics
- Language
- English
- Date published
- 10/27/2016
- Academic Unit
- Physics and Astronomy
- Record Identifier
- 9984199810502771
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