Approaches to the sign problem in lattice field theory - INSPIRE

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Approaches to the sign problem in lattice field theory

Christof Gattringer
(
- Graz U.
)
,
Kurt Langfeld
(
- Plymouth U.
)

Mar 31, 2016

22 pages

Published in:

Int.J.Mod.Phys.A 31 (2016) 22, 1643007

Published: Aug 5, 2016

e-Print:

1603.09517 [hep-lat]

DOI:

10.1142/S0217751X16430077

View in:

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Abstract: (World Scientific)

Quantum field theories (QFTs) at finite densities of matter generically involve complex actions. Standard Monte Carlo simulations based upon importance sampling, which have been producing quantitative first principle results in particle physics for almost forty years, cannot be applied in this case. Various strategies to overcome this so-called sign problem or complex action problem were proposed during the last thirty years. We here review the sign problem in lattice field theories, focusing on two more recent methods: dualization to worldline type of representations and the density-of-states approach.

Note:

mini-review, 20 pages, 4 figures

11.15.Ha
12.38.Gc
Lattice field theory
finite density
dual approach
density of states
action: complex
density: finite
matter: density
potential: chemical

References(100)

Figures(4)

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