Spin in the path integral: Anti-commuting versus commuting variables
Date
1995
Authors
Scholtz F.G.
Theron A.N.
Geyer H.B.
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Abstract
We discuss the equivalence between the path integral representations of spin dynamics for anti-commuting (Grassmann) and commuting variables and establish a bosonization dictionary for both generators of spin and single fermion operators. The content of this construction in terms of the representations of the spin algebra is discussed in the path integral setting. Finally it is shown how a 'free field realization' (Dyson mapping) can be constructed in the path integral.
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Citation
Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics
345
3
345
3