Particle spectrum of the 3-state Potts field theory: a numerical study

Abstract

The three-state Potts field theory in two dimensions with thermal and magnetic perturbations provides the simplest model of confinement allowing for both mesons and baryons, as well as for an extended phase with deconfined quarks. We study numerically the evolution of the mass spectrum of this model over its whole parameter range, obtaining a pattern of confinement, particle decay and phase transitions which confirms recent predictions.

17 pages, 5 figures, LaTeX; v2: references added

References in corpus (4)

• Confinement in the q-state Potts field theory
• Field theory of Ising percolating clusters
• The particle spectrum of the Tricritical Ising Model with spin reversal symmetric perturbations
• Effective potentials and kink spectra in non-integrable perturbed conformal field theories

Cited by in corpus (20)

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• The S-matrix Bootstrap IV: Multiple Amplitudes
• A Conformal Truncation Framework for Infinite-Volume Dynamics
• Truncated Conformal Space Approach for 2D Landau-Ginzburg Theories
• Truncated Conformal Space Approach for Perturbed Wess-Zumino-Witten $SU(2{)}_k$ Models
• Confinement in the q-state Potts model: an RG-TCSA study
• On the weak confinement of kinks in the one-dimensional quantum ferromagnet CoNb2O6
• Dynamical hadron formation in long-range interacting quantum spin chains
• On the renormalisation group for the boundary Truncated Conformal Space Approach
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• Two-kink bound states in the magnetically perturbed Potts field theory at T<Tc
• Functional RG approach to the Potts model
• Baryon masses in the three-state Potts field theory in a weak magnetic field
• Radiative corrections to the quark masses in the ferromagnetic Ising and Potts field theories
• Quasi-particle spectrum and entanglement generation after a quench in the quantum Potts spin chain
• Quasi Long Range Order and Vortex Lattice in the Three State Potts Model
• Critical points in coupled Potts models and correlated percolation
• Confinement in the tricritical Ising model