2002/07/02 by G. Ortiz, G. ORTIZ, C. D. Batista +1 · 1 citation
Mathematics · Physics and Astronomy · #Algebraic number #Algebraic structure #Algebraic structures and combinatorial models #Domain (mathematical analysis) #Physical system #Quantum #Quantum Mechanics and Applications #Quantum Mechanics and Non-Hermitian Physics #Symmetry (geometry) #Universality (dynamical systems) #cond-mat.str-el
paper · pdf · doi:10.1142/s0217979203020521
published in International Journal of Modern Physics B 17(28), 5413-5423 (World Scientific) · 10 pages 2 psfigures. Appeared in Recent Progress in Many-Body Theories
arxiv created 2002/07/02 · openalex publication_date 2003/11/10 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
We introduce an algebraic framework for interacting quantum systems that enables studying complex phenomena, characterised by the coexistence and competition of various broken symmetry states of matter. The approach unveils the hidden unity behind seemingly unrelated physical phenomena, thus establishing exact connections between them. This leads to the fundamental concept of universality of physical phenomena, a general concept not restricted to the domain of critical behaviour. Key to our framework is the concept of languages and the construction of dictionaries relating them.