PT Symmetry and QCD: Finite Temperature and Density
The relevance of PT symmetry to quantum chromodynamics (QCD), the gauge theory of the strong interactions, is explored in the context of finite temperature and density. Two significant problems in QCD are studied: the sign problem of finite-density QCD, and the problem of confinement. It is proven t...
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| Опубліковано в: : | Symmetry, Integrability and Geometry: Methods and Applications |
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| Дата: | 2009 |
| Автори: | , |
| Формат: | Стаття |
| Мова: | Англійська |
| Опубліковано: |
Інститут математики НАН України
2009
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| Онлайн доступ: | https://nasplib.isofts.kiev.ua/handle/123456789/149159 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | PT Symmetry and QCD: Finite Temperature and Density / M.C. Ogilvie, P.N. Meisinger // Symmetry, Integrability and Geometry: Methods and Applications. — 2009. — Т. 5. — Бібліогр.: 34 назв. — англ. |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862712472661655552 |
|---|---|
| author | Ogilvie, M.C. Meisinger, P.N. |
| author_facet | Ogilvie, M.C. Meisinger, P.N. |
| citation_txt | PT Symmetry and QCD: Finite Temperature and Density / M.C. Ogilvie, P.N. Meisinger // Symmetry, Integrability and Geometry: Methods and Applications. — 2009. — Т. 5. — Бібліогр.: 34 назв. — англ. |
| collection | DSpace DC |
| container_title | Symmetry, Integrability and Geometry: Methods and Applications |
| description | The relevance of PT symmetry to quantum chromodynamics (QCD), the gauge theory of the strong interactions, is explored in the context of finite temperature and density. Two significant problems in QCD are studied: the sign problem of finite-density QCD, and the problem of confinement. It is proven that the effective action for heavy quarks at finite density is PT-symmetric. For the case of 1+1 dimensions, the PT-symmetric Hamiltonian, although not Hermitian, has real eigenvalues for a range of values of the chemical potential μ, solving the sign problem for this model. The effective action for heavy quarks is part of a potentially large class of generalized sine-Gordon models which are non-Hermitian but are PT-symmetric. Generalized sine-Gordon models also occur naturally in gauge theories in which magnetic monopoles lead to confinement. We explore gauge theories where monopoles cause confinement at arbitrarily high temperatures. Several different classes of monopole gases exist, with each class leading to different string tension scaling laws. For one class of monopole gas models, the PT-symmetric affine Toda field theory emerges naturally as the effective theory. This in turn leads to sine-law scaling for string tensions, a behavior consistent with lattice simulations.
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| first_indexed | 2025-12-07T17:37:15Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-149159 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2025-12-07T17:37:15Z |
| publishDate | 2009 |
| publisher | Інститут математики НАН України |
| record_format | dspace |
| spelling | Ogilvie, M.C. Meisinger, P.N. 2019-02-19T17:50:44Z 2019-02-19T17:50:44Z 2009 PT Symmetry and QCD: Finite Temperature and Density / M.C. Ogilvie, P.N. Meisinger // Symmetry, Integrability and Geometry: Methods and Applications. — 2009. — Т. 5. — Бібліогр.: 34 назв. — англ. 1815-0659 2000 Mathematics Subject Classification: 81T13; 81R05; 82B10 https://nasplib.isofts.kiev.ua/handle/123456789/149159 The relevance of PT symmetry to quantum chromodynamics (QCD), the gauge theory of the strong interactions, is explored in the context of finite temperature and density. Two significant problems in QCD are studied: the sign problem of finite-density QCD, and the problem of confinement. It is proven that the effective action for heavy quarks at finite density is PT-symmetric. For the case of 1+1 dimensions, the PT-symmetric Hamiltonian, although not Hermitian, has real eigenvalues for a range of values of the chemical potential μ, solving the sign problem for this model. The effective action for heavy quarks is part of a potentially large class of generalized sine-Gordon models which are non-Hermitian but are PT-symmetric. Generalized sine-Gordon models also occur naturally in gauge theories in which magnetic monopoles lead to confinement. We explore gauge theories where monopoles cause confinement at arbitrarily high temperatures. Several different classes of monopole gases exist, with each class leading to different string tension scaling laws. For one class of monopole gas models, the PT-symmetric affine Toda field theory emerges naturally as the effective theory. This in turn leads to sine-law scaling for string tensions, a behavior consistent with lattice simulations. This paper is a contribution to the Proceedings of the VIIth Workshop “Quantum Physics with NonHermitian Operators” (June 29 – July 11, 2008, Benasque, Spain). en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications PT Symmetry and QCD: Finite Temperature and Density Article published earlier |
| spellingShingle | PT Symmetry and QCD: Finite Temperature and Density Ogilvie, M.C. Meisinger, P.N. |
| title | PT Symmetry and QCD: Finite Temperature and Density |
| title_full | PT Symmetry and QCD: Finite Temperature and Density |
| title_fullStr | PT Symmetry and QCD: Finite Temperature and Density |
| title_full_unstemmed | PT Symmetry and QCD: Finite Temperature and Density |
| title_short | PT Symmetry and QCD: Finite Temperature and Density |
| title_sort | pt symmetry and qcd: finite temperature and density |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/149159 |
| work_keys_str_mv | AT ogilviemc ptsymmetryandqcdfinitetemperatureanddensity AT meisingerpn ptsymmetryandqcdfinitetemperatureanddensity |