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dc.contributor.author Chandrasekharan, S
dc.date.accessioned 2011-06-21T17:27:48Z
dc.date.issued 2010-07-14
dc.identifier.citation Physical Review D - Particles, Fields, Gravitation and Cosmology, 2010, 82 (2)
dc.identifier.issn 1550-7998
dc.identifier.uri http://hdl.handle.net/10161/4276
dc.description.abstract We propose a new approach to the fermion sign problem in systems where there is a coupling U such that when it is infinite the fermions are paired into bosons, and there is no fermion permutation sign to worry about. We argue that as U becomes finite, fermions are liberated but are naturally confined to regions which we refer to as fermion bags. The fermion sign problem is then confined to these bags and may be solved using the determinantal trick. In the parameter regime where the fermion bags are small and their typical size does not grow with the system size, construction of Monte Carlo methods that are far more efficient than conventional algorithms should be possible. In the region where the fermion bags grow with system size, the fermion bag approach continues to provide an alternative approach to the problem but may lose its main advantage in terms of efficiency. The fermion bag approach also provides new insights and solutions to sign problems. A natural solution to the "silver blaze problem" also emerges. Using the three-dimensional massless lattice Thirring model as an example, we introduce the fermion bag approach and demonstrate some of these features. We compute the critical exponents at the quantum phase transition and find ν=0.87(2) and η=0.62(2). © 2010 The American Physical Society.
dc.language.iso en_US en_US
dc.relation.ispartof Physical Review D - Particles, Fields, Gravitation and Cosmology
dc.relation.isversionof 10.1103/PhysRevD.82.025007
dc.title Fermion bag approach to lattice field theories
dc.title.alternative en_US
dc.type Journal Article
dc.description.version Version of Record en_US
duke.date.pubdate 2010-7-14 en_US
duke.description.endpage 25007 en_US
duke.description.issue 2 en_US
duke.description.startpage 25007 en_US
duke.description.volume 82 en_US
dc.relation.journal Physical Review D en_US
pubs.issue 2
pubs.organisational-group /Duke
pubs.organisational-group /Duke/Trinity College of Arts & Sciences
pubs.organisational-group /Duke/Trinity College of Arts & Sciences/Physics
pubs.publication-status Published
pubs.volume 82
dc.identifier.eissn 1550-2368

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