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...

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Main Authors:	Christof Gattringer, Thomas Kloiber, Vasily Sazonov
Format:	Article
Language:	English
Published:	Elsevier 2015-08-01
Series:	Nuclear Physics B
Online Access:	http://www.sciencedirect.com/science/article/pii/S0550321315002205

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spelling	doaj-5527023d567d4755b4aeed7434b0b4932020-11-24T23:12:00ZengElsevierNuclear 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
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	Christof Gattringer Thomas Kloiber Vasily Sazonov
spellingShingle	Christof Gattringer Thomas Kloiber Vasily Sazonov Solving the sign problems of the massless lattice Schwinger model with a dual formulation Nuclear Physics B
author_facet	Christof Gattringer Thomas Kloiber Vasily Sazonov
author_sort	Christof Gattringer
title	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_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_sort	solving the sign problems of the massless lattice schwinger model with a dual formulation
publisher	Elsevier
series	Nuclear Physics B
issn	0550-3213 1873-1562
publishDate	2015-08-01
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.
url	http://www.sciencedirect.com/science/article/pii/S0550321315002205
work_keys_str_mv	AT christofgattringer solvingthesignproblemsofthemasslesslatticeschwingermodelwithadualformulation AT thomaskloiber solvingthesignproblemsofthemasslesslatticeschwingermodelwithadualformulation AT vasilysazonov solvingthesignproblemsofthemasslesslatticeschwingermodelwithadualformulation
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Solving the sign problems of the massless lattice Schwinger model with a dual formulation

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