Abstract/Details

A non-perturbative study of non-hermitian, PT-symmetric cubic scalar quantum field theory


2001 2001

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Abstract (summary)

Fueled by a recent conjecture of D. Bessis that non-Hermitian, [special characters omitted] symmetric Hamiltonians have positive and real energies, the study of such theories has recently received much attention. Most of the work has been done in the context of quantum mechanics. Several techniques have been used up to date, including numerical and variational approaches. Field theoretic techniques have also been used, but always applied to one dimensional theories. This class of quantum field theories is isomorphic to quantum mechanics.

In this dissertation we present the first study of a non-Hermitian, [special characters omitted] symmetric quantum field theory. We apply the methods of Modal Field Theory and Quasy-sparse Eigenvector Diagonalization to the study of a scalar quantum field theory with a cubic interaction and an imaginary coupling constant. The spectrum is examined and found to be real and positive. The vacuum expectation value of the field is imaginary and shows a peak in the nonperturbative regime. The physical mass is found to increase monotonically with the coupling strength.

Indexing (details)


Subject
Particle physics
Classification
0798: Particle physics
Identifier / keyword
Pure sciences; Non-Hermitian Hamiltonians; Nonperturbative quantum field theory; Quantum field theory
Title
A non-perturbative study of non-hermitian, PT-symmetric cubic scalar quantum field theory
Author
Roura, Erick Alexander
Number of pages
64
Publication year
2001
Degree date
2001
School code
0118
Source
DAI-B 62/10, Dissertation Abstracts International
Place of publication
Ann Arbor
Country of publication
United States
ISBN
9780493393575, 0493393579
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
3027251
ProQuest document ID
304701727
Copyright
Database copyright ProQuest LLC; ProQuest does not claim copyright in the individual underlying works.
Document URL
http://search.proquest.com/docview/304701727
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