Preprint
Bootstrap methods for digitized scalar field theory
arXiv.org
12/16/2023
DOI: 10.48550/arxiv.2312.10559
Abstract
General positivity constraints linking various powers of observables in
energy eigenstates can be used to sharply locate acceptable regions for the
energy eigenvalues, provided that efficient recursive methods are available to
calculate the matrix elements. These recursive methods are derived by looking
at the commutation relations of the observables with the Hamiltonian. We
discuss how this self-consistent (bootstrap) approach can be applied to the
study of digitized scalar field theory in the harmonic basis. Using known
results, we develop the method by testing on quantum systems, including the
harmonic and anharmonic oscillators. We report recent numerical results for up
to four coupled anharmonic oscillators. From here, we consider the possibility
of using the groundwork of this method as a means of studying phase transitions
in 1+1 dimensions.
Details
- Title: Subtitle
- Bootstrap methods for digitized scalar field theory
- Creators
- Zane OzzelloYannick Meurice
- Resource Type
- Preprint
- Publication Details
- arXiv.org
- DOI
- 10.48550/arxiv.2312.10559
- eISSN
- 2331-8422
- Language
- English
- Date posted
- 12/16/2023
- Academic Unit
- Physics and Astronomy
- Record Identifier
- 9984533284102771
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