Fermions at Finite Density in 2+1 Dimensions with Sign-Optimized Manifolds

Andrei Alexandru (Department of Physics, The George Washington University, Washington, D.C. 20052, USA; Department of Physics, University of Maryland, College Park, Maryland 20742, USA) ; Paulo F. Bedaque (Department of Physics, University of Maryland, College Park, Maryland 20742, USA) ; Henry Lamm (Department of Physics, University of Maryland, College Park, Maryland 20742, USA) ; Scott Lawrence (Department of Physics, University of Maryland, College Park, Maryland 20742, USA) ; Neill C. Warrington (Department of Physics, University of Maryland, College Park, Maryland 20742, USA)

We present Monte Carlo calculations of the thermodynamics of the (2+1)-dimensional Thirring model at finite density. We bypass the sign problem by deforming the domain of integration of the path integral into complex space in such a way as to maximize the average sign within a parameterized family of manifolds. We present results for lattice sizes up to 103 and we find that at high densities and/or temperatures the chiral condensate is abruptly reduced.

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      "title": "Fermions at Finite Density in <math><mrow><mn>2</mn><mo>+</mo><mn>1</mn></mrow></math> Dimensions with Sign-Optimized Manifolds"
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      "value": "We present Monte Carlo calculations of the thermodynamics of the (<math><mrow><mn>2</mn><mo>+</mo><mn>1</mn></mrow></math>)-dimensional Thirring model at finite density. We bypass the sign problem by deforming the domain of integration of the path integral into complex space in such a way as to maximize the average sign within a parameterized family of manifolds. We present results for lattice sizes up to <math><mn>1</mn><msup><mn>0</mn><mn>3</mn></msup></math> and we find that at high densities and/or temperatures the chiral condensate is abruptly reduced."
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Published on:
09 November 2018
Publisher:
APS
Published in:
Physical Review Letters , Volume 121 (2018)
Issue 19
DOI:
https://doi.org/10.1103/PhysRevLett.121.191602
arXiv:
1808.09799
Copyrights:
Published by the American Physical Society
Licence:
CC-BY-4.0

Fulltext files: