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Fermion Bag Approach to Fermion Sign Problems

2013/04/17 by Shailesh Chandrasekharan, Chandrasekharan, Shailesh · 1 citation
Mathematics · Physics and Astronomy · #FOS: Physical sciences #High Energy Physics - Lattice (hep-lat) #Markov Chains and Monte Carlo Methods #Nuclear Theory (nucl-th) #Nuclear physics research studies #Quantum Chromodynamics and Particle Interactions #Strongly Correlated Electrons (cond-mat.str-el) #cond-mat.str-el #hep-lat #nucl-th

paper · pdf · doi:10.48550/arxiv.1304.4900

invited mini-review for a special issue of EPJA 12 pages

arxiv created 2013/04/17 · openalex publication_date 2013/04/17 · arxiv updated 2013/04/18 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/01

Abstract

The fermion bag approach is a new method to tackle fermion sign problems in lattice field theories. Using this approach it is possible to solve a class of sign problems that seem unsolvable by traditional methods. The new solutions emerge when partition functions are written in terms of fermion bags and bosonic worldlines. In these new variables it is possible to identify hidden pairing mechanisms which lead to the solutions. The new solutions allow us for the first time to use Monte Carlo methods to solve a variety of interesting lattice field theories, thus creating new opportunities for understanding strongly correlated fermion systems.

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