Solving the sign problems of the massless lattice Schwinger model with a dual formulation
We derive an exact representation of the massless Schwinger model on the lattice in terms of dual variables which are configurations of loops, dimers and plaquette occupation numbers. When expressed with the dual variables the partition sum has only real and positive terms also when a chemical poten...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Elsevier
2015-08-01
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| Series: | Nuclear Physics B |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S0550321315002205 |
| _version_ | 1811238963441041408 |
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| author | Christof Gattringer Thomas Kloiber Vasily Sazonov |
| author_facet | Christof Gattringer Thomas Kloiber Vasily Sazonov |
| author_sort | Christof Gattringer |
| collection | DOAJ |
| description | We derive an exact representation of the massless Schwinger model on the lattice in terms of dual variables which are configurations of loops, dimers and plaquette occupation numbers. When expressed with the dual variables the partition sum has only real and positive terms also when a chemical potential or a topological term are added – situations where the conventional representation has a complex action problem. The dual representation allows for Monte Carlo simulations without restrictions on the values of the chemical potential or the vacuum angle. |
| first_indexed | 2024-04-12T12:51:32Z |
| format | Article |
| id | doaj.art-5527023d567d4755b4aeed7434b0b493 |
| institution | Directory Open Access Journal |
| issn | 0550-3213 1873-1562 |
| language | English |
| last_indexed | 2024-04-12T12:51:32Z |
| publishDate | 2015-08-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Nuclear Physics B |
| spelling | doaj.art-5527023d567d4755b4aeed7434b0b4932022-12-22T03:32:27ZengElsevierNuclear Physics B0550-32131873-15622015-08-01897C73274810.1016/j.nuclphysb.2015.06.017Solving the sign problems of the massless lattice Schwinger model with a dual formulationChristof GattringerThomas KloiberVasily SazonovWe derive an exact representation of the massless Schwinger model on the lattice in terms of dual variables which are configurations of loops, dimers and plaquette occupation numbers. When expressed with the dual variables the partition sum has only real and positive terms also when a chemical potential or a topological term are added – situations where the conventional representation has a complex action problem. The dual representation allows for Monte Carlo simulations without restrictions on the values of the chemical potential or the vacuum angle.http://www.sciencedirect.com/science/article/pii/S0550321315002205 |
| spellingShingle | Christof Gattringer Thomas Kloiber Vasily Sazonov Solving the sign problems of the massless lattice Schwinger model with a dual formulation Nuclear Physics B |
| title | Solving the sign problems of the massless lattice Schwinger model with a dual formulation |
| title_full | Solving the sign problems of the massless lattice Schwinger model with a dual formulation |
| title_fullStr | Solving the sign problems of the massless lattice Schwinger model with a dual formulation |
| title_full_unstemmed | Solving the sign problems of the massless lattice Schwinger model with a dual formulation |
| title_short | Solving the sign problems of the massless lattice Schwinger model with a dual formulation |
| title_sort | solving the sign problems of the massless lattice schwinger model with a dual formulation |
| url | http://www.sciencedirect.com/science/article/pii/S0550321315002205 |
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