FERMIONIC OPERATORS FROM BOSONIC FIELDS IN 3-DIMENSIONS(1)

Citation
A. Kovner et al., FERMIONIC OPERATORS FROM BOSONIC FIELDS IN 3-DIMENSIONS(1), Physics letters. Section B, 342(1-4), 1995, pp. 381-386
Citations number
20
Categorie Soggetti
Physics
Journal title
ISSN journal
03702693
Volume
342
Issue
1-4
Year of publication
1995
Pages
381 - 386
Database
ISI
SICI code
0370-2693(1995)342:1-4<381:FOFBFI>2.0.ZU;2-6
Abstract
We present a construction of fermionic operators in 3+1 dimensions in terms of bosonic fields in the framework of QED(4). The basic bosonic variables are the electric fields E(i) and their conjugate momenta A(i ). Our construction generalizes the analogous constuction of fermionic operators in 2+1 dimensions. Loosely speaking, a fermionic operator i s represented as a product of an operator that creates a pointlike cha rge and an operator that creates an infinitesimal 't Hooft loop of hal f integer strength. We also show how the axial U(1) transformations ar e realized in this construction.