Abstract/Details

A nonperturbative study of three-dimensional quartic scalar field theory using modal field methods


2000 2000

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Abstract (summary)

The method of modal field theory is a new development in the field of nonperturbative quantum field theory. This approach reduces a quantum field theory to a finite-dimensional quantum mechanical system by expanding field configurations in terms of free-wave modes. In this dissertation we apply this method to three-dimensional &phis;4 theory using two kinds of modal field approaches: a spherical partial wave expansion and a periodic-box mode expansion. The resulting modal-field quantum-mechanical systems are analyzed with the use of the diffusion Monte Carlo method and by calculating the spectrum and eigenstates of the Hamiltonian directly. In the latter approach we employ the recently introduced quasi-sparse eigenvector method which is designed to diagonalize infinite-dimensional yet very sparse matrices. We study the phase structure of three-dimensional &phis;4 theory, computing the critical coupling and the critical exponents ν and β. We also investigate the spectrum of low-lying energy eigenstates and find evidence of a nonperturbative state in the broken-symmetry phase of the theory.

Indexing (details)


Subject
Particle physics
Classification
0798: Particle physics
Identifier / keyword
Pure sciences, Modal field, Nonperturbative, Quartic, Scalar field theory
Title
A nonperturbative study of three-dimensional quartic scalar field theory using modal field methods
Author
Windoloski, Mark Daniel
Number of pages
132
Publication year
2000
Degree date
2000
School code
0118
Source
DAI-B 61/10, Dissertation Abstracts International
Place of publication
Ann Arbor
Country of publication
United States
ISBN
0599964030, 9780599964037
Advisor
Golowich, Eugene
University/institution
University of Massachusetts Amherst
University location
United States -- Massachusetts
Degree
Ph.D.
Source type
Dissertations & Theses
Language
English
Document type
Dissertation/Thesis
Dissertation/thesis number
9988853
ProQuest document ID
304606881
Copyright
Database copyright ProQuest LLC; ProQuest does not claim copyright in the individual underlying works.
Document URL
http://search.proquest.com/docview/304606881
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