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Complex instantons in sigma models with chemical potential

Complex instantons in sigma models with chemical potential

We analyze two-dimensional nonlinear sigma models at nonzero chemical potentials, which are governed by a complex action. In the spirit of contour deformations (thimbles), we extend the fields into the complex plane, which allows us to incorporate the chemical potentials $\ensuremath{\mu}$ as twisted boundary conditions. We write down the equations …