2008/06/30 by Luca Lepori, L Lepori, Giuseppe Mussardo +3
Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #Energy spectrum #Ising model #Particle (ecology) #Perturbation (astronomy) #Perturbation theory (quantum mechanics) #Phase transition #Space (punctuation) #Spectrum (functional analysis) #Statistical Mechanics and Entropy #Theoretical and Computational Physics #Upper and lower bounds #cond-mat.stat-mech #hep-th
paper · pdf · doi:10.1088/1742-5468/2008/09/p09004
published as J.Stat.Mech.0809:P09004,2008 · 34 pages, 14 figures, text misprints corrected
arxiv created 2008/09/08 · openalex publication_date 2008/09/24 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
We analyze the evolution of the particle spectrum of the tricritical Ising model by varying the couplings of the energy and vacancy density fields. The particle content changes from the spectrum of a supersymmetric theory (either of an exact or a spontaneously broken supersymmetric theory) to the spectrum of seven particles related to the underlying E 7 structure. In the low temperature phase some of these excitations are topologically charged particles that are stable under an arbitrary variation of the parameters. The high and low temperature phases of the model are related by duality. In some regions of the two couplings there are also present false vacua and sequences of bound states. In order to study the non-integrable features of this model we employ the form factor perturbation theory and the truncated conformal space approach.