46 citations · 213 across the 23 of their papers we have counts for
5 papers · 1 filter
Spin in the path integral: anti-commuting versus commuting variables
F. G. Scholtz, A. N. Theron, H. B. Geyer
We discuss the equivalence between the path integral representations of spin dynamics for anti-commuting (Grassmann) and commuting variables and establish a bosonization dictionary…
Non-abelian bosonization from factored coset models in path integrals
A. N. Theron, F. A. Schaposnik, F. G. Scholtz +1
We present a derivation of abelian and non-abelian bosonization in a path integral setting by expressing the generating functional for current-current correlation functions as a pr…
Loosely bound hyperons in the SU(3) Skyrme model
B. Schwesinger, F. G. Scholtz, H. B. Geyer
Hyperon pairs bound in deuteron like states are obtained within the SU(3) Skyrme model in agreement with general expectations from boson exchange models. The central binding from t…
Boson-fermion Dyson mapping and supersymmetry in fermion systems
P Navratil, H B Geyer, J Dobaczewski
We demonstrate that exact supersymmetry can emerge in a purely fermionic system. This "supersymmetry without bosons" is unveiled by constructing a novel boson-fermion Dyson mapping…
SDG fermion-pair algebraic SO(12) and Sp(10) models and their boson realizations
P. Navratil, H. B. Geyer, J. Dobes +1
It is shown how the boson mapping formalism may be applied as a useful many-body tool to solve a fermion problem. This is done in the context of generalized Ginocchio models for wh…