Fermion Bags, Duality, and the Three Dimensional Massless Lattice Thirring Model

Shailesh Chandrasekharan and Anyi Li
Phys. Rev. Lett. 108, 140404 – Published 5 April 2012

Abstract

The recently proposed fermion-bag approach is a powerful technique to solve some four-fermion lattice field theories. Because of the existence of a duality between strong and weak couplings, the approach leads to efficient Monte Carlo algorithms in both these limits. The new method allows us for the first time to accurately compute quantities close to the quantum critical point in the three dimensional lattice Thirring model with massless fermions on large lattices. The critical exponents at the quantum critical point are found to be ν=0.85(1), η=0.65(1), and ηψ=0.37(1).

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  • Received 7 December 2011

DOI:https://doi.org/10.1103/PhysRevLett.108.140404

© 2012 American Physical Society

Authors & Affiliations

Shailesh Chandrasekharan

  • Department of Physics, Box 90305, Duke University, Durham, North Carolina 27708, USA

Anyi Li

  • Institute for Nuclear Theory, University of Washington, Seattle, Washington 98195-1550, USA

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Issue

Vol. 108, Iss. 14 — 6 April 2012

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