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Convergent series for polynomial lattice models with complex actions

Vasily Sazonov
(
- Orsay, LPT and
- Graz U.
)

Jun 13, 2017

9 pages

Published in:

Mod.Phys.Lett.A 34 (2019) 30, 1950243

Published: Jul 12, 2019

e-Print:

1706.03957 [hep-lat]

DOI:

10.1142/S0217732319502432

View in:

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Abstract: (WSP)

Lattice models with complex actions are important for the understanding of matter at finite densities, but not accessible by the standard Monte Carlo techniques due to the sign problem. Here, we propose a new approach aiming to avoid the complex action/sign problem, by extending the method of convergent series (CS) with a non-Gaussian initial approximation. The main properties of the new series are demonstrated on the example of the two-dimensional oscillating integral.

Note:

11 pages, 5 figures, typos and plots are corrected

02.70.Ss
12.38.Gc
02.90.+p
Sign problem
lattice field theory
convergent expansions
re-summation
path integral
action: complex
model: lattice

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