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Collective effects in multi-field inflation

We present a new model of multi-field inflation in the limit when, N, the number of fields is very large. To implement this limit, we reformulate the problem in terms of a colourless bilocal field [(x; y) which encodes the collective degrees of freedom of the N scalar fields. As a concrete example,...

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Main Author: Hassan, Sultan
Other Authors: Murugan, Jeffrey
Format: Thesis
Language:English
Published: Department of Mathematics and Applied Mathematics 2014
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access_status_str Open Access
author Hassan, Sultan
author2 Murugan, Jeffrey
author_browse Hassan, Sultan
Murugan, Jeffrey
author_facet Murugan, Jeffrey
Hassan, Sultan
author_sort Hassan, Sultan
collection Thesis
description We present a new model of multi-field inflation in the limit when, N, the number of fields is very large. To implement this limit, we reformulate the problem in terms of a colourless bilocal field [(x; y) which encodes the collective degrees of freedom of the N scalar fields. As a concrete example, we apply the collective field theory formalism to the bosonic O(N) vector model with quartic self interaction minimally coupled to gravity and show how this may be used to model the quantum to classical transition out of inflation.
format Thesis
id oai:open.uct.ac.za:11427/6618
institution University of Cape Town (South Africa)
language eng
last_indexed 2026-06-10T12:34:23.309Z
license_str Not specified — see source repository
provenance_str_mv Harvested via OAI-PMH from UCTD — University of Cape Town Open Access Repository
publishDate 2014
publishDateRange 2014
publishDateSort 2014
publisher Department of Mathematics and Applied Mathematics
publisherStr Department of Mathematics and Applied Mathematics
record_format dspace
source_str UCTD — University of Cape Town Open Access Repository
spelling oai:open.uct.ac.za:11427/6618 Collective effects in multi-field inflation Hassan, Sultan Murugan, Jeffrey Weltman, Amanda We present a new model of multi-field inflation in the limit when, N, the number of fields is very large. To implement this limit, we reformulate the problem in terms of a colourless bilocal field [(x; y) which encodes the collective degrees of freedom of the N scalar fields. As a concrete example, we apply the collective field theory formalism to the bosonic O(N) vector model with quartic self interaction minimally coupled to gravity and show how this may be used to model the quantum to classical transition out of inflation. 2014-08-20T19:14:32Z 2014-08-20T19:14:32Z 2013 Master Thesis Masters MSc http://hdl.handle.net/11427/6618 eng application/pdf Department of Mathematics and Applied Mathematics Faculty of Science University of Cape Town
spellingShingle Hassan, Sultan
Collective effects in multi-field inflation
thesis_degree_str Master's
title Collective effects in multi-field inflation
title_full Collective effects in multi-field inflation
title_fullStr Collective effects in multi-field inflation
title_full_unstemmed Collective effects in multi-field inflation
title_short Collective effects in multi-field inflation
title_sort collective effects in multi field inflation
url http://hdl.handle.net/11427/6618
work_keys_str_mv AT hassansultan collectiveeffectsinmultifieldinflation