vix.ing · top · new · best · stats · spec

Notes about equivalence between Sine-Gordon theory (free fermion point) and the free fermion theory

2001/05/29 by S. V. Kryukov, Kryukov, S. V.
Physics and Astronomy · #Black Holes and Theoretical Physics #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions #hep-th

paper · pdf · doi:10.48550/arxiv.hep-th/0105290

7 pages, 3 figures

arxiv created 2001/05/29 · openalex publication_date 2001/05/29 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The space of local integrals of motion for the Sine-Gordon theory (the free fermion point) and the theory of free fermions in the light cone coordinates is investigated. Some important differences between the spaces of local integrals of motion of these theories are obtained. The equivalence is broken on the level of the integrals of motion between bosonic and fermionic theories (in the free fermion point). The integrals of motion are constracted without Quantum Inverse Scattering Method (QISM)and the additional quantum integrals of motion are obtaned. So the QISM is not absolutely complete.

Related