Multi-flavor massless QED${}_2$ at finite densities via Lefschetz thimbles

Abstract

We consider multi-flavor massless $(1+1)$-dimensional QED with chemical potentials at finite spatial length and the zero-temperature limit. Its sign problem is solved using the mean-field calculation with complex saddle points.

25 pages, 4 figures; (v2) reference updated; (v3) minor changes

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Cited by in corpus (20)

• Review on novel methods for lattice gauge theories
• Vacuum structure of bifundamental gauge theories at finite topological angles
• Finite-Density Monte Carlo Calculations on Sign-Optimized Manifolds
• Bion non-perturbative contributions versus infrared renormalons in two-dimensional $\mathbb{C}{P}^{N-1}$ models
• Fractional $\theta$ angle, 't Hooft anomaly, and quantum instantons in charge-$q$ multi-flavor Schwinger model
• One-dimensional QCD in thimble regularization
• Finite Density $QE{D}_{1+1}$ Near Lefschetz Thimbles
• On exact-WKB analysis, resurgent structure, and quantization conditions
• Combining the complex Langevin method and the generalized Lefschetz-thimble method
• A complex path around the sign problem
• Phase structure of the twisted $SU(3)/U(1{)}^2$ flag sigma model on $\mathbb{R}\times S^1$
• Gradient flows without blow-up for Lefschetz thimbles
• Phase Unwrapping and One-Dimensional Sign Problems
• On the gauge invariant path-integral measure for the overlap Weyl fermions in $\underline{16}$ of SO(10)
• Why is the mission impossible? -- Decoupling the mirror Ginsparg-Wilson fermions in the lattice models for two-dimensional abelian chiral gauge theories
• Resurgence and Lefschetz thimble in 3d N=2 supersymmetric Chern-Simons matter theories
• Sign problem in $Z_3$-symmetric effective Polyakov-line model
• End-to-end complexity for simulating the Schwinger model on quantum computers
• Nonanalyticity, sign problem and Polyakov line in Z3-symmetric heavy quark model at low temperature: Phenomenological model analyses
• Tunneling in Quantum Cosmology and Holographic SYM theory