2019/07/05 by Nicolas Sourlas, Sourlas, Nicolas
Chemistry · Mathematics · Physics and Astronomy · #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #History and advancements in chemistry #Physics of Superconductivity and Magnetism #Statistical Mechanics (cond-mat.stat-mech)
paper · pdf · doi:10.48550/arxiv.1907.02767
openalex publication_date 2019/07/05 · openalex created_date 2022/07/28 · openalex updated_date 2026/07/28
Duality transformations play a very important role in theoretical physics. In\nthis paper I propose new duality transformations for fermionic theories. They\nmap the strong coupling regime of one theory to the weak coupling regime of\nanother theory. These transformations are based on the functional integral\nrepresentation of the fermionic theories in terms of Grassmann variables and\nrely heavily on the properties of Grassmann variables. Potential applications\ninclude the study of the strong coupling phase of the two dimensional Hubbard\nmodel.\n