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Quantum Simulation

Complex nonlinear sigma model

arXiv
Authors: Kazuki Yamamoto, Kohei Kawabata

Year

2026

Paper ID

3223

Status

Preprint

Abstract Read

~2 min

Abstract Words

94

Citations

N/A

Abstract

Motivated by the recent interest in the criticality of open quantum many-body systems, we study nonlinear sigma models with complexified couplings as a general framework for nonunitary field theory. Applying the perturbative renormalization-group analysis to the tenfold symmetric spaces, we demonstrate that fixed points with complex scaling dimensions and critical exponents arise generically, without counterparts in conventional nonlinear sigma models with real couplings. We further clarify the global phase diagrams in the complex-coupling plane and identify both continuous and discontinuous phase transitions. Our work elucidates universal aspects of critical phenomena in complexified field theory.

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  • Motivated by the recent interest in the criticality of open quantum many-body systems, we study nonlinear sigma models with complexified couplings as a general framework for...

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