Speaker
Kurt Langfeld
(Plymouth University)
Description
Finite density quantum field theories have evaded first principle Monte-Carlo
simulations due to the notorious sign-problem. The partition function of such
theories appears as the Fourier transform of the generalised density-of-states,
which is the probability distribution of the imaginary part of the action. With
the advent of Wang-Landau type simulation techniques and recent advances [1],
the density-of-states can be calculated over many hundreds of orders of
magnitude. Current research addresses the question whether the achieved
precision is high enough to reliably extract the finite density partition
function, which is exponentially suppressed with the volume. In my talk, I
review the state-of-play for the high precision calculations of the
density-of-states as well as the recent progress for obtaining reliable results
from highly oscillating integrals. I will review recent progress for Z3 and
phi^4 quantum field theories for which results can be obtained from the
simulation of the dual theory, which appears to free of a sign problem.
[1] K Langfeld, B Lucini, A Rago, Phys .Rev. Lett. 109 (2012) 111601.
Author
Kurt Langfeld
(Plymouth University)
Co-authors
Antonio Rago
(Plymouth University)
Biagio Lucini
(Swansea University)
Lorenzo Bongiovanni
(Swansea University)
Roberto Pellegrini
(University of Edinburgh)
