EPJ Web Conf.
Volume 175, 201835th International Symposium on Lattice Field Theory (Lattice 2017)
|Number of page(s)||8|
|Section||11 Theoretical Developments|
|Published online||26 March 2018|
Beyond Complex Langevin Equations: positive representation of a class of complex measures
Max-Planck-Institut für Physik (Werner-Heisenberg-Institut), München, Germany
2 M. Smoluchowski Institute of Physics, Jagiellonian University, Cracow, Poland
* Speaker, e-mail: Jacek.Wosiek@uj.edu.pl
Published online: 26 March 2018
A positive representation for a set of complex densities is constructed. In particular, complex measures on a direct product of U(1) groups are studied. After identifying general conditions which such representations should satisfy, several concrete realizations are proposed. Their utility is illustrated in few concrete examples representing problems in abelian lattice gauge theories.
© The Authors, published by EDP Sciences, 2018
This is an Open Access article distributed under the terms of the Creative Commons Attribution License 4.0, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. (http://creativecommons.org/licenses/by/4.0/).
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