TY - JOUR
T1 - Approaches to the sign problem in lattice field theory
AU - Gattringer, C.
AU - Langfeld, K.
PY - 2016
Y1 - 2016
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?eid=2-s2.0-84981294729&partnerID=MN8TOARS
UR - https://ezproxy.uws.edu.au/login?url=https://doi.org/10.1142/S0217751X16430077
U2 - 10.1142/S0217751X16430077
DO - 10.1142/S0217751X16430077
M3 - Article
SN - 0217-751X
VL - 31
JO - International Journal of Modern Physics A: particles and fields; gravitation; cosmology; nuclear physics
JF - International Journal of Modern Physics A: particles and fields; gravitation; cosmology; nuclear physics
IS - 22
ER -