Non-Existence of Local Integrals of Motion in the Multi-Deformed Ising Model

Abstract

We confirm the non-integrability of the multi-deformed Ising Model, an already expected result. After deforming with the energy operator ${\varphi }_{1,3}$ we use the Majorana free fermionic representation for the massive theory to show that, besides the trivial one, no local integrals of motion can be built in the theory arising from perturbing with both energy and spin operators.

6 pages, latex, one reference added

References in corpus (1)

• Non-integrable Quantum Field Theories as Perturbations of Certain Integrable Models

Cited by in corpus (2)

• Integrable field theory and critical phenomena. The Ising model in a magnetic field
• Bosonic-type S-Matrix, Vacuum Instability and CDD Ambiguities