The quartic interaction in the large-N limit of quantum field theory on a noncummutative space

The quartic interaction in the large-N limit of quantum field theory on a noncummutative space

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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...

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Main Author: DeBoer, Philip Albert
Language:English
Published: 2009
Online Access:http://hdl.handle.net/2429/11683
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spelling ndltd-LACETR-oai-collectionscanada.gc.ca-BVAU.2429-116832014-03-14T15:45:23Z The quartic interaction in the large-N limit of quantum field theory on a noncummutative space DeBoer, Philip Albert 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. 2009-08-04T23:59:21Z 2009-08-04T23:59:21Z 2001 2009-08-04T23:59:21Z 2001-11 Electronic Thesis or Dissertation http://hdl.handle.net/2429/11683 eng UBC Retrospective Theses Digitization Project [http://www.library.ubc.ca/archives/retro_theses/]
collection NDLTD
language English
sources NDLTD
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.
author DeBoer, Philip Albert
spellingShingle DeBoer, Philip Albert
The quartic interaction in the large-N limit of quantum field theory on a noncummutative space
author_facet DeBoer, Philip Albert
author_sort DeBoer, Philip Albert
title The quartic interaction in the large-N limit of quantum field theory on a noncummutative space
title_short The quartic interaction in the large-N limit of quantum field theory on a noncummutative space
title_full The quartic interaction in the large-N limit of quantum field theory on a noncummutative space
title_fullStr The quartic interaction in the large-N limit of quantum field theory on a noncummutative space
title_full_unstemmed The quartic interaction in the large-N limit of quantum field theory on a noncummutative space
title_sort quartic interaction in the large-n limit of quantum field theory on a noncummutative space
publishDate 2009
url http://hdl.handle.net/2429/11683
work_keys_str_mv AT deboerphilipalbert thequarticinteractioninthelargenlimitofquantumfieldtheoryonanoncummutativespace
AT deboerphilipalbert quarticinteractioninthelargenlimitofquantumfieldtheoryonanoncummutativespace
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