The Lefschetz thimble and the sign problem - INSPIRE

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The Lefschetz thimble and the sign problem

Luigi Scorzato

Dec 25, 2015

13 pages

Part of Proceedings, 33rd International Symposium on Lattice Field Theory (Lattice 2015) : Kobe, Japan, July 14-18, 2015, 016

Published in:

PoS LATTICE2015 (2016) 016

Contribution to:

- Lattice 2015
, 016

Published: Jun 29, 2016 by SISSA

e-Print:

1512.08039 [hep-lat]

DOI:

10.22323/1.251.0016

View in:

ADS Abstract Service

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Abstract: (arXiv)

In this talk I review the proposal to formulate quantum field theories (QFTs) on a Lefschetz thimble, which was put forward to enable Monte Carlo simulations of lattice QFTs affected by sign problem. First I will review the theoretical justification of the approach, and comment on some open issues. Then, I will review the algorithms that have been proposed and are being tested to represent and simulate a lattice QFT on a Lefschetz thimble. In particular, I will review the lessons from the very first models of QFTs that have been studied with this approach.

Note:

Proceedings of plenary talk at Lattice 2015 conference

review
field theory: model
lattice
numerical calculations: Monte Carlo
action: complex
universality
fermion: determinant
Langevin equation: complex
field theory: scalar: complex
gauge field theory

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