PoS - Proceedings of Science
Volume 396 - The 38th International Symposium on Lattice Field Theory (LATTICE2021) - Oral presentation
Finite-density QCD, $\mathcal{PT}$ symmetry, and dual algorithms
M. Ogilvie*, M. Schindler and S. Schindler
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Pre-published on: May 16, 2022
Published on:
Finite-density QCD and many other field theories with sign problems have a $\mathcal{PT}$-type symmetry. After a brief introduction to $\mathcal{PT}$-symmetric field theories, a real dual representation for $\mathcal{PT}$-symmetric scalar field theories with complex actions
is derived.
We show that $\mathcal{PT}$-symmetric field theories can exhibit exotic behavior,
including sinusoidally modulated propagators, disorder lines, and spatially inhomogeneous pattern-forming phases.
We discuss the interplay of duality, $\mathcal{PT}$-symmetry and pattern formation using a $\phi^4$ model and $Z(N)$ spin model with sign problems
as examples. These behaviors may occur in finite-density QCD and related models.
DOI: https://doi.org/10.22323/1.396.0417
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