The spectrum of massive excitations of 3d 3-state Potts model and universality

Abstract

We consider the mass spectrum of the 3$d$ 3-state Potts model in the broken phase (a) near the second order Ising critical point in the temperature - magnetic field plane and (b) near the weakly first order transition point at zero magnetic field. In the case (a), we compare the mass spectrum with the prediction from universality of mass ratios in the 3$d$ Ising class; in the case (b), we determine a mass ratio to be compared with the corresponding one in the spectrum of screening masses of the (3+1)$d$ SU(3) pure gauge theory at finite temperature in the deconfined phase near the transition. The agreement in the comparison in the case (a) would represent a non-trivial test of validity of the conjecture of spectrum universality. A positive answer to the comparison in the case (b) would suggest the possibility to extend this conjecture to weakly first order phase transitions.

arXiv comment20 pages, 12 figures; uses axodraw.sty

References in corpus (13)

• Critical Phenomena and Renormalization-Group Theory
• Three-Dimensional 3-State Potts Model Revisited With New Techniques
• The three-dimensional, three-state Potts Model in an External Field
• Non-perturbative states in the 3D phi^4 theory
• Bound states and glueballs in three-dimensional Ising systems
• The Calculation of Critical Amplitudes in SU(2) Lattice Gauge Theory
• The Svetitsky-Yaffe conjecture for the plaquette operator
• The spectrum of screening masses near T_c: predictions from universality
• Percolation and Critical Behaviour in SU(2) Gauge Theory
• Critical behavior of 3D SU(2) gauge theory at finite temperature: exact results from universality
• Spectrum of screening masses in the (3+1)D SU(2) pure gauge theory near the critical temperature
• Finite-size scaling and the deconfinement transition in gauge theories
• Finite-size scaling and deconfinement transition: the case of 4D SU(2) pure gauge theory

Cited by in corpus (9)

• Phase Transition Properties of 3D Potts Models
• The three-dimensional, three state Potts model in a negative external field
• Normalized entropy density of the 3D 3-state Potts model
• Screening masses in the SU(3) pure gauge theory and universality
• Screening masses in the SU(3) pure gauge theory and universality
• Nonextensive lattice gauge theories: algorithms and methods
• Lee-Yang-zero ratio method in three-dimensional Ising model
• Screening masses in quenched (2+1)d Yang-Mills theory: universality from dynamics?
• Hierarchy of the low-lying excitations for the $(2+1)$-dimensional $q=3$ Potts model in the ordered phase