PoS - Proceedings of Science
Volume 396 - The 38th International Symposium on Lattice Field Theory (LATTICE2021) - Oral presentation
Searching for Yang-Lee zeros in O(N) models
F. Attanasio*, M. Bauer, L. Kades and J.M. Pawlowski
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Pre-published on: May 16, 2022
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Near the second order phase transition point, QCD with two flavours of massless quarks can be approximated by an O($4$) model, where a symmetry breaking external field $H$ can be added to play the role of quark mass.
The Lee-Yang theorem states that the equation of state in this model has a branch cut along the imaginary $H$ axis for $|Im[H]|>H_c$, where $H_c$ indicates a second order critical point.
This point, known as Lee-Yang edge singularity, is of importance to the thermodynamics of the system.
We report here on ongoing work to determine the location of $H_c$ via complex Langevin simulations.
DOI: https://doi.org/10.22323/1.396.0223
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