Dual lattice representations for O(N) and CP(N-1) models with a chemical potential

Abstract

We derive dual representations for O(N) and CP(N-1) models on the lattice. In terms of the dual variables the partition sums have only real and positive contributions also at finite chemical potential. Thus the complex action problem of the conventional formulation is overcome and using the dual variables Monte Carlo simulations are possible at arbitrary chemical potential.

Missing contribution for the CP(N-1) model added - conclusions unchanged

References in corpus (14)

• Instantons in the Higgs Phase
• Instanton constituents in the O(3) model at finite temperature
• Method for simulating O(N) lattice models at finite density
• Solving the sign problems of the massless lattice Schwinger model with a dual formulation
• Surface worm algorithm for abelian Gauge-Higgs systems on the lattice
• CP(N-1) Quantum Field Theories with Alkaline-Earth Atoms in Optical Lattices
• Fractional instantons and bions in the O(N) model with twisted boundary conditions
• The fine structure of the entanglement entropy in the classical XY model
• Dual Computations of Non-abelian Yang-Mills on the Lattice
• Nonlinear sigma models at nonzero chemical potential: breaking up instantons and the phase diagram
• A Dual Algorithm for Non-abelian Yang-Mills coupled to Dynamical Fermions
• Scalar QED${}_2$ with a topological term - a lattice study in a dual representation
• Resurgence and Dynamics of O(N) and Grassmannian Sigma Models
• Recent Developments in Dual Lattice Algorithms

Cited by in corpus (37)

• Approaches to the sign problem in lattice field theory
• Anomaly and global inconsistency matching: $\theta$-angles, $SU(3)/U(1{)}^2$ nonlinear sigma model, $SU(3)$ chains and its generalizations
• Abelian gauge theories on the lattice: $\theta$-terms and compact gauge theory with(out) monopoles
• Tensor lattice field theory with applications to the renormalization group and quantum computing
• A qubit regularization of the $O(3)$ sigma model
• O(3) nonlinear sigma model in 1+1 dimensions with matrix product states
• Dual simulation of the 2d U(1) gauge Higgs model at topological angle $\theta =\pi$: Critical endpoint behavior
• Path integral contour deformations for noisy observables
• A new dual representation for staggered lattice QCD
• The two-dimensional O(3) model at nonzero density: from dual lattice simulations to repulsive bosons
• Self-Consistent Large-$N$ Analytical Solutions of Inhomogneous Condensates in Quantum $\mathbb{C}{P}^{N-1}$ Model
• Confinement-Deconfinement Crossover in the Lattice $\mathbb{C}{P}^{N-1}$ Model
• Grand canonical ensemble, multi-particle wave functions, scattering data, and lattice field theories
• Kramers-Wannier duality and worldline representation for the SU(2) principal chiral model
• Lattice $\mathbb{C}{P}^{N-1}$ model with ${\mathbb{Z}}_N$ twisted boundary condition: bions, adiabatic continuity and pseudo-entropy
• Exponential reduction of the sign problem at finite density in the 2+1D XY model via contour deformations
• Worm Algorithm for CP(N-1) Model
• Baryonic Matter Onset in Two-Color QCD with Heavy Quarks
• Ground state modulations in the $\mathbb{C}{P}^{N-1}$ model
• Few-body physics on a space-time lattice in the worldline approach
• SU(3) Quantum Spin Ladders as a Regularization of the CP(2) Model at Non-Zero Density: From Classical to Quantum Simulation
• Sampling of General Correlators in Worm Algorithm-based Simulations
• Complex instantons in sigma models with chemical potential
• Comparison of algorithms for solving the sign problem in the O(3) model in 1+1 dimensions at finite chemical potential
• Diagrammatic representation of scalar QCD and sign problem at nonzero chemical potential
• Fermion Bag Approach for Massive Thirring Model at Finite Density
• Remarks on the large-$N$ $\mathbb{C}{P}^{N-1}$ model
• Diagrammatic Monte-Carlo for weak-coupling expansion of non-Abelian lattice field theories: large-N U(N)xU(N) principal chiral model
• Finite density 2d O(3) sigma model: dualization and numerical simulations
• Worldlines and worldsheets for non-abelian lattice field theories: Abelian color fluxes and Abelian color cycles
• Lattice simulation of the SU(2) chiral model at zero and non-zero pion density
• Approximate dual representation for Yang-Mills SU(2) gauge theory
• Graphical Representations and Worm Algorithms for the O($N$) Spin Model
• O(3) model with Nienhuis action
• Comparison between Fermion Bag Approach and Complex Langevin Dynamics for Massive Thirring Model at Finite Density in 0 + 1 Dimensions
• A Worm Algorithm for the Lattice CP(N-1) Model
• Feasibility of Diagrammatic Monte-Carlo based on weak-coupling expansion in asymptotically free theories: case study of $O(N)$ sigma-model in the large-$N$ limit