### Thermal Simulations, Open Boundary Conditions and Switches

Burnier Y, Florio A, Kaczmarek O, Mazur L (2017)
In: 35th International Symposium on Lattice Field Theory (Lattice 2017).

Konferenzbeitrag | Englisch

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Autor*in
Burnier, Yannis; Florio, Adrien; Kaczmarek, OlafUniBi ; Mazur, LukasUniBi
Abstract / Bemerkung
$SU(N)$ gauge theories on compact spaces have a non-trivial vacuum structure characterized by a countable set of topological sectors and their topological charge. In lattice simulations, every topological sector needs to be explored a number of times which reflects its weight in the path integral. Current lattice simulations are impeded by the so-called freezing of the topological charge problem. As the continuum is approached, energy barriers between topological sectors become well defined and the simulations get trapped in a given sector. A possible way out was introduced by L\"uscher and Schaefer using open boundary condition in the time extent. However, this solution cannot be used for thermal simulations, where the time direction is required to be periodic. In this proceedings, we present results obtained using open boundary conditions in space, at non-zero temperature. With these conditions, the topological charge is not quantized and the topological barriers are lifted. A downside of this method are the strong finite-size effects introduced by the boundary conditions. We also present some exploratory results which show how these conditions could be used on an algorithmic level to reshuffle the system and generate periodic configurations with non-zero topological charge.
Erscheinungsjahr
2017
Titel des Konferenzbandes
35th International Symposium on Lattice Field Theory (Lattice 2017)
Konferenz
35th International Symposium on Lattice Field Theory (Lattice 2017)
Konferenzort
Konferenzdatum
2017-06-18 – 2017-06-24
Page URI
https://pub.uni-bielefeld.de/record/2916391

### Zitieren

Burnier Y, Florio A, Kaczmarek O, Mazur L. Thermal Simulations, Open Boundary Conditions and Switches. In: 35th International Symposium on Lattice Field Theory (Lattice 2017). 2017.
Burnier, Y., Florio, A., Kaczmarek, O., & Mazur, L. (2017). Thermal Simulations, Open Boundary Conditions and Switches. 35th International Symposium on Lattice Field Theory (Lattice 2017)
Burnier, Y., Florio, A., Kaczmarek, O., and Mazur, L. (2017). “Thermal Simulations, Open Boundary Conditions and Switches” in 35th International Symposium on Lattice Field Theory (Lattice 2017).
Burnier, Y., et al., 2017. Thermal Simulations, Open Boundary Conditions and Switches. In 35th International Symposium on Lattice Field Theory (Lattice 2017).
Y. Burnier, et al., “Thermal Simulations, Open Boundary Conditions and Switches”, 35th International Symposium on Lattice Field Theory (Lattice 2017), 2017.
Burnier, Y., Florio, A., Kaczmarek, O., Mazur, L.: Thermal Simulations, Open Boundary Conditions and Switches. 35th International Symposium on Lattice Field Theory (Lattice 2017). (2017).
Burnier, Yannis, Florio, Adrien, Kaczmarek, Olaf, and Mazur, Lukas. “Thermal Simulations, Open Boundary Conditions and Switches”. 35th International Symposium on Lattice Field Theory (Lattice 2017). 2017.

Open Data PUB

### Quellen

arXiv: 1710.06472

Inspire: 1631338