Citation
Gupta, Rajan (1982) Mass-Gaps in Lattice Field Theories. Dissertation (Ph.D.), California Institute of Technology. doi:10.7907/w3cz-2v27. https://resolver.caltech.edu/CaltechTHESIS:05152018-114910943
Abstract
In this thesis we discuss two methods for calculating the mass-spectrum in field theories using Monte Carlo Methods. A Hamiltonian variational method is developed and checked on the 0(3) non-linear sigma model in 1+1 dimensions. The mass-gap is also· found from the 2-point correlation function and some improvements to this method are suggested. Both methods give reliable results for the lattice theory. The connection between the lattice 0(3) spin-model and the continuum theory is explored in detail.
| Item Type: | Thesis (Dissertation (Ph.D.)) |
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| Subject Keywords: | Physics |
| Degree Grantor: | California Institute of Technology |
| Division: | Physics, Mathematics and Astronomy |
| Major Option: | Physics |
| Thesis Availability: | Public (worldwide access) |
| Research Advisor(s): |
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| Thesis Committee: |
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| Defense Date: | 3 May 1982 |
| Record Number: | CaltechTHESIS:05152018-114910943 |
| Persistent URL: | https://resolver.caltech.edu/CaltechTHESIS:05152018-114910943 |
| DOI: | 10.7907/w3cz-2v27 |
| Default Usage Policy: | No commercial reproduction, distribution, display or performance rights in this work are provided. |
| ID Code: | 10889 |
| Collection: | CaltechTHESIS |
| Deposited By: | Mel Ray |
| Deposited On: | 25 Jun 2018 21:28 |
| Last Modified: | 16 Apr 2021 22:10 |
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