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NON-EXISTENCE OF LOCAL INTEGRALS OF MOTION IN THE MULTI-DEFORMED ISING MODEL

1998/04/22 by Pedro D. Fonseca, PEDRO D. FONSECA · 2 citations
Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #Black Holes and Theoretical Physics #Energy (signal processing) #Ising model #MAJORANA #Motion (physics) #Operator (biology) #Quantum Chromodynamics and Particle Interactions #Representation (politics) #Square-lattice Ising model #cond-mat #hep-th

paper · pdf · doi:10.1142/s0217732398002047

published in Modern Physics Letters A 13(24), 1931-1935 (World Scientific) · 6 pages, latex, one reference added

arxiv created 1998/04/22 · openalex publication_date 1998/08/10 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

We confirm the non-integrability of the multi-deformed Ising model — an already expected result. After deforming with the energy operator ϕ 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.

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