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...
Gespeichert in:
| Datum: | 2009 |
|---|---|
| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | English |
| Veröffentlicht: |
Інститут математики НАН України
2009
|
| Schriftenreihe: | Symmetry, Integrability and Geometry: Methods and Applications |
| Online Zugang: | http://dspace.nbuv.gov.ua/handle/123456789/149159 |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Zitieren: | 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. |
Institution
Digital Library of Periodicals of National Academy of Sciences of Ukraine| id |
irk-123456789-149159 |
|---|---|
| record_format |
dspace |
| fulltext |
|
| spelling |
irk-123456789-1491592019-02-20T01:27:36Z PT Symmetry and QCD: Finite Temperature and Density Ogilvie, M.C. Meisinger, P.N. 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. 2009 Article 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 http://dspace.nbuv.gov.ua/handle/123456789/149159 en Symmetry, Integrability and Geometry: Methods and Applications Інститут математики НАН України |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| language |
English |
| 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. |
| format |
Article |
| author |
Ogilvie, M.C. Meisinger, P.N. |
| spellingShingle |
Ogilvie, M.C. Meisinger, P.N. PT Symmetry and QCD: Finite Temperature and Density Symmetry, Integrability and Geometry: Methods and Applications |
| author_facet |
Ogilvie, M.C. Meisinger, P.N. |
| author_sort |
Ogilvie, M.C. |
| title |
PT Symmetry and QCD: Finite Temperature and Density |
| title_short |
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_sort |
pt symmetry and qcd: finite temperature and density |
| publisher |
Інститут математики НАН України |
| publishDate |
2009 |
| url |
http://dspace.nbuv.gov.ua/handle/123456789/149159 |
| 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. |
| series |
Symmetry, Integrability and Geometry: Methods and Applications |
| work_keys_str_mv |
AT ogilviemc ptsymmetryandqcdfinitetemperatureanddensity AT meisingerpn ptsymmetryandqcdfinitetemperatureanddensity |
| first_indexed |
2025-07-12T21:32:24Z |
| last_indexed |
2025-07-12T21:32:24Z |
| _version_ |
1837478386964889600 |