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Matter in 2+1 Dimensions at Finite Density with Chern Simons Interactions / STANISLAV STRATIEV

Swansea University Author: STANISLAV STRATIEV

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DOI (Published version): 10.23889/SUthesis.56843

Abstract

We study several matter Chern-Simons models at finite chemical potential. In the SU(N) theory we discover a colour-flavour locked Bose condensed ground state with vacuum expectation values for both the scalar and gauge fields. We identify this ground state with the non-commutative Chern-Simons descr...

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Published: Swansea 2020
Institution: Swansea University
Degree level: Doctoral
Degree name: Ph.D
Supervisor: Kumar, Prem
URI: https://cronfa.swan.ac.uk/Record/cronfa56843
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first_indexed 2021-05-10T15:19:10Z
last_indexed 2021-05-11T03:22:07Z
id cronfa56843
recordtype RisThesis
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spelling 2021-05-10T16:36:09.6445891 v2 56843 2021-05-10 Matter in 2+1 Dimensions at Finite Density with Chern Simons Interactions 958be9d9aa7c22e3962f9b2b909f2c52 STANISLAV STRATIEV STANISLAV STRATIEV true false 2021-05-10 We study several matter Chern-Simons models at finite chemical potential. In the SU(N) theory we discover a colour-flavour locked Bose condensed ground state with vacuum expectation values for both the scalar and gauge fields. We identify this ground state with the non-commutative Chern-Simons description of the quan-tum Hall eect. We compute the quadratic spectrum and discover roton excitations. We find a self-consistent circularly symmetric ansatz for topological non-abelian vortices. We examine vortices in abelian Chern-Simons theory coupled to a relativistic scalar field with a chemical potential for particle number or U(1) charge. The Gauss constraint requires chemical potential for the local symme-try to be accompanied by a constant background charge density/ma-gnetic field. Focusing attention on power law scalar potentials |Φ|2s, s ∈ Z, which do not support vortex configurations in vacuum but do so at finite chemical potential, we numerically study classical vortex solutions for a large winding number |n|  1. E-Thesis Swansea 29 7 2020 2020-07-29 10.23889/SUthesis.56843 COLLEGE NANME COLLEGE CODE Swansea University Kumar, Prem Doctoral Ph.D STFC 2021-05-10T16:36:09.6445891 2021-05-10T16:16:37.2307620 Faculty of Science and Engineering School of Biosciences, Geography and Physics - Physics STANISLAV STRATIEV 1 56843__19844__f57397e353494fa9af1d95700d5e5643.pdf Stratiev_Stanislav_PhD_Thesis_Final_Redacted_Signature.pdf 2021-05-10T16:26:54.4951534 Output 7853689 application/pdf E-Thesis – open access true Copyright: The author, Stanislav Stratiev, 2020. true eng
title Matter in 2+1 Dimensions at Finite Density with Chern Simons Interactions
spellingShingle Matter in 2+1 Dimensions at Finite Density with Chern Simons Interactions
STANISLAV STRATIEV
title_short Matter in 2+1 Dimensions at Finite Density with Chern Simons Interactions
title_full Matter in 2+1 Dimensions at Finite Density with Chern Simons Interactions
title_fullStr Matter in 2+1 Dimensions at Finite Density with Chern Simons Interactions
title_full_unstemmed Matter in 2+1 Dimensions at Finite Density with Chern Simons Interactions
title_sort Matter in 2+1 Dimensions at Finite Density with Chern Simons Interactions
author_id_str_mv 958be9d9aa7c22e3962f9b2b909f2c52
author_id_fullname_str_mv 958be9d9aa7c22e3962f9b2b909f2c52_***_STANISLAV STRATIEV
author STANISLAV STRATIEV
author2 STANISLAV STRATIEV
format E-Thesis
publishDate 2020
institution Swansea University
doi_str_mv 10.23889/SUthesis.56843
college_str Faculty of Science and Engineering
hierarchytype
hierarchy_top_id facultyofscienceandengineering
hierarchy_top_title Faculty of Science and Engineering
hierarchy_parent_id facultyofscienceandengineering
hierarchy_parent_title Faculty of Science and Engineering
department_str School of Biosciences, Geography and Physics - Physics{{{_:::_}}}Faculty of Science and Engineering{{{_:::_}}}School of Biosciences, Geography and Physics - Physics
document_store_str 1
active_str 0
description We study several matter Chern-Simons models at finite chemical potential. In the SU(N) theory we discover a colour-flavour locked Bose condensed ground state with vacuum expectation values for both the scalar and gauge fields. We identify this ground state with the non-commutative Chern-Simons description of the quan-tum Hall eect. We compute the quadratic spectrum and discover roton excitations. We find a self-consistent circularly symmetric ansatz for topological non-abelian vortices. We examine vortices in abelian Chern-Simons theory coupled to a relativistic scalar field with a chemical potential for particle number or U(1) charge. The Gauss constraint requires chemical potential for the local symme-try to be accompanied by a constant background charge density/ma-gnetic field. Focusing attention on power law scalar potentials |Φ|2s, s ∈ Z, which do not support vortex configurations in vacuum but do so at finite chemical potential, we numerically study classical vortex solutions for a large winding number |n|  1.
published_date 2020-07-29T04:12:06Z
_version_ 1763753828365107200
score 11.037603

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