Conference proceeding
Bootstrap methods for digitized scalar field theory
40TH INTERNATIONAL SYMPOSIUM ON LATTICE FIELD THEORY, LATTICE2023, Vol.453, 163
11/06/2024
DOI: 10.22323/1.453.0163
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 Ozzello - University of IowaYannick Meurice - Univ Iowa, Dept Phys & Astron, Iowa City, IA 52242 USA
- Resource Type
- Conference proceeding
- Publication Details
- 40TH INTERNATIONAL SYMPOSIUM ON LATTICE FIELD THEORY, LATTICE2023, Vol.453, 163
- DOI
- 10.22323/1.453.0163
- Publisher
- SISSA Medialab
- Number of pages
- 7
- Grant note
- DESC0019139; DE-SC0010113 / Department of Energy; United States Department of Energy (DOE)
- Language
- English
- Date published
- 11/06/2024
- Academic Unit
- Physics and Astronomy
- Record Identifier
- 9985230927802771
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