Renormalization group flow with unstable particles

Abstract

The renormalization group flow of an integrable two dimensional quantum field theory which contains unstable particles is investigated. The analysis is carried out for the Virasoro central charge and the conformal dimensions as a function of the renormalization group flow parameter. This allows to identify the corresponding conformal field theories together with their operator content when the unstable particles vanish from the particle spectrum. The specific model considered is the $SU(3{)}_2$-homogeneous Sine-Gordon model.

5 pages Latex, 3 figures

References in corpus (8)

• Thermodynamic Bethe Ansatz of the Homogeneous Sine-Gordon models
• Integrable Quantum Field Theories with Unstable Particles
• On the Trace Anomaly as a Measure of Degrees of Freedom
• Identifying the Operator Content, the Homogeneous Sine-Gordon models
• Form Factors of the Homogeneous Sine-Gordon models
• A Quantum Field Theory with Infinite Resonance States
• Large-N expansion, conformal field theory and renormalization-group flows in three dimensions
• Renormalization group irreversible functions in more than two dimensions

Cited by in corpus (14)

• Mass scales and crossover phenomena in the Homogeneous Sine-Gordon Models
• Irreversibility of the renormalization group flow in non-unitary quantum field theory
• Arguments towards a c-theorem from branch-point twist fields
• T-duality in Massive Integrable Field Theories: The Homogeneous and Complex sine-Gordon Models
• Higher particle form factors of branch point twist fields in integrable quantum field theories
• Branch Point Twist Field Form Factors in the sine-Gordon Model I: Breather Fusion and Entanglement Dynamics
• Colours associated to non simply-laced Lie algebras and exact S-matrices
• Constructing Infinite Particle Spectra
• On the mass-coupling relation of multi-scale quantum integrable models
• Supersymmetric integrable scattering theories with unstable particles
• The universal coefficient of the exact correlator of a large-$N$ matrix field theory
• Generalised Hydrodynamics of Particle Creation and Decay
• Tails of Instability and Decay: a Hydrodynamic Perspective
• Entanglement of Stationary States in the Presence of Unstable Quasiparticles