Stripes from (noncommutative) stars
J. Ambjorn, S. Catterall

TL;DR
This paper demonstrates that lattice regularization can be effectively used to explore non-perturbative vacuum phases in noncommutative field theories, providing evidence for a striped phase in 2D scalar models.
Contribution
It introduces a lattice approach to study noncommutative field theories and provides the first evidence of a striped phase in two-dimensional models.
Findings
Evidence for a striped phase in 2D noncommutative scalar field theory
Lattice regularization as a tool for non-perturbative analysis
Identification of non-perturbative vacuum structures
Abstract
We show that lattice regularization of noncommutative field theories can be used to study non-perturbative vacuum phases. Specifically we provide evidence for the existence of a striped phase in two-dimensional noncommutative scalar field theory
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