Service Unavailable: Maintenance for System Migration : Fri, 23rd Aug 09:00-13:00, 2024(JST)

Aug 4 – 7, 2020
online
Asia/Tokyo timezone

Constraints of kinematic bosonization in two and higher dimensions

Aug 7, 2020, 5:00 PM
20m
online

online

Theoretical Developments Theoretical Developments

Speaker

Jacek Wosiek (Jagiellonian University)

Description

Contrary to the common wisdom, local bosonizations of fermionic systems exist in higher dimensions. Interestingly, resulting bosonic variables must satisfy local constraints of a gauge type. They effectively replace long distance exchange interactions. In this work we study in detail the properties of such a system which was proposed a long time ago. In particular, dependence of the constraints on lattice geometry and fermion multiplicity is further elaborated and is now classified for all two dimensional, rectangular lattices with arbitrary sizes. For few small systems the constraints are solved analytically and the complete spectra of reduced spin hamiltonias are shown to agree with the original fermionic ones. The equivalence is also extended to fermions in an external Wegner Z2 field. It is also illustrated by an explicit calculation for a particular configuration of Wegner variables.

Primary author

Jacek Wosiek (Jagiellonian University)

Co-authors

Presentation materials