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Numerical Mass Estimates from Correlation Functions in a 4D SU(2) Higgs Model

Title: Numerical Mass Estimates from Correlation Functions in a 4D SU(2) Higgs Model.
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Name(s): Hostetler, Leon, author
Type of Resource: text
Genre: Text
Bachelor Thesis
Date Issued: 2018-01-30
Physical Form: computer
online resource
Extent: 1 online resource
Language(s): English
Abstract/Description: In lattice gauge theory one estimates masses from correlation functions in Euclidean time to which superselection rules may apply. The correlation functions are a superposition of exponential functions of the energy levels, and the mass to be estimated is that associated with the ground state in our investigation. We discuss and implement three such estimators. The first is obtained by taking the logarithm of the ratios of consecutive values of the correlation function and estimating the asymptotic value. Another estimator involves fitting a 2-parameter exponential function to the correlation function and trying to eliminate higher mass contributions. The third estimator involves fitting a 4-parameter function of the sum of two exponentials to the correlation function. Various features and quirks of the different estimators are described. A comparison of the three estimators shows consistency indicating that all three are reliable methods, supplementing one another, for numerically estimating masses from correlation functions.
Identifier: FSU_libsubv1_scholarship_submission_1517326053_673faed2 (IID)
Keywords: lattice gauge theory, lattice field theory, monte carlo, SU(2) Higgs
Persistent Link to This Record: http://purl.flvc.org/fsu/fd/FSU_libsubv1_scholarship_submission_1517326053_673faed2
Owner Institution: FSU

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Hostetler, L. (2018). Numerical Mass Estimates from Correlation Functions in a 4D SU(2) Higgs Model. Retrieved from http://purl.flvc.org/fsu/fd/FSU_libsubv1_scholarship_submission_1517326053_673faed2