SPIN IN THE PATH-INTEGRAL - ANTI-COMMUTING VERSUS COMMUTING VARIABLES

Authors
SCHOLTZ FG THERON AN GEYER HB
Citation
Fg. Scholtz et al., SPIN IN THE PATH-INTEGRAL - ANTI-COMMUTING VERSUS COMMUTING VARIABLES, Physics letters. Section B, 345(3), 1995, pp. 242-247
Citations number
10
Categorie Soggetti
Physics
Journal title
Physics letters. Section B → ACNP
ISSN journal
03702693
Volume
345
Issue
3
Year of publication
1995
Pages
242 - 247
Database
ISI
SICI code
0370-2693(1995)345:3<242:SITP-A>2.0.ZU;2-3
Abstract
We discuss the equivalence between the path integral representations o f spin dynamics for anti-commuting (Grassmann) and commuting variables and establish a bosonization dictionary for both generators of spin a nd single fermion operators. The content of this construction in terms of the representations of the spin algebra is discussed in the path i ntegral setting. Finally it is shown how a 'free field realization' (D yson mapping) can be constructed in the path integral.