A complex path around the sign problem

Paulo F. Bedaque

A complex path around the sign problem

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arxiv 1711.05868 v1 pith:45KYUI6R submitted 2017-11-16 hep-lat cond-mat.str-elhep-thnucl-th

Paulo F. Bedaque This is my paper · ORCID

classification hep-latcond-mat.str-elhep-thnucl-th

keywords complexpathproblemrealsignalgorithmicaroundattempts

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We review recent attempts at dealing with the sign problem in Monte Carlo calculations by deforming the region of integration in the path integral from real to complex fields. We discuss the theoretical foundations, the algorithmic issues and present some results for low dimensional field theories in both imaginary and real time.

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Phase structure of the 1+1 dimensional massive Thirring model from matrix product states
hep-lat 2019-08 conditional novelty 5.0 of 10

The 1+1 dimensional massive Thirring model has a conformal critical phase and a gapped phase separated by a Berezinskii-Kosterlitz-Thouless transition, as shown by tensor-network simulations.

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