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The quartic interaction in the large-N limit of quantum field theory on a noncummutative space DeBoer, Philip Albert
Abstract
With a view to understanding generic properties of quantum field theories defined on spaces with noncommuting spatial coordinates (termed noncommutative quantum field theories), two simple models are considered. The first model is a theory of bosonic vector fields having an O(N)-symmetric quartic interaction. The second model is the fermionic counterpart of the bosonic theory, and is known as the Gross-Neveu model. In both cases the study is conducted in the simplifying large-TV limit. Unlike in the commutative case, the noncommutative theory gives rise to two inequivalent quartic interactions of the form (Φ²)² and (Φ[sup i] Φ[sup j])². The latter interaction is difficult to work with, but significant progress is made for the theories containing only the former interaction.
Item Metadata
Title |
The quartic interaction in the large-N limit of quantum field theory on a noncummutative space
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Creator | |
Publisher |
University of British Columbia
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Date Issued |
2001
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Description |
With a view to understanding generic properties of quantum field theories defined on
spaces with noncommuting spatial coordinates (termed noncommutative quantum field
theories), two simple models are considered. The first model is a theory of bosonic vector
fields having an O(N)-symmetric quartic interaction. The second model is the fermionic
counterpart of the bosonic theory, and is known as the Gross-Neveu model. In both cases
the study is conducted in the simplifying large-TV limit.
Unlike in the commutative case, the noncommutative theory gives rise to two inequivalent
quartic interactions of the form (Φ²)² and (Φ[sup i] Φ[sup j])². The latter interaction is difficult
to work with, but significant progress is made for the theories containing only the former
interaction.
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Extent |
2147261 bytes
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Genre | |
Type | |
File Format |
application/pdf
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Language |
eng
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Date Available |
2009-08-04
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Provider |
Vancouver : University of British Columbia Library
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Rights |
For non-commercial purposes only, such as research, private study and education. Additional conditions apply, see Terms of Use https://open.library.ubc.ca/terms_of_use.
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DOI |
10.14288/1.0089985
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URI | |
Degree | |
Program | |
Affiliation | |
Degree Grantor |
University of British Columbia
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Graduation Date |
2001-11
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Campus | |
Scholarly Level |
Graduate
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Aggregated Source Repository |
DSpace
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Item Media
Item Citations and Data
Rights
For non-commercial purposes only, such as research, private study and education. Additional conditions apply, see Terms of Use https://open.library.ubc.ca/terms_of_use.