Path integral representation for spin systens
Naoum Karchev
TL;DR
This paper reviews various path integral representations of quantum spin systems' partition functions, emphasizing the role of SU(2) coherent states and their unification through U(1) gauge theory.
Contribution
It provides a unified framework for different path integral representations of quantum spins using SU(2) coherent states and gauge theory.
Findings
Different parameterizations lead to distinct path integral forms
Unified description via U(1) gauge theory
Highlights the role of coherent states in spin systems
Abstract
The present paper is a short review of different path integral representations of the partition function of quantum spin systems. To begin with, I consider coherent states for SU(2) algebra. Different parameterizations of the coherent states lead to different path integral representations. They all are unified within an U(1) gauge theory of quantum spin systems.
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Taxonomy
TopicsBlack Holes and Theoretical Physics · Algebraic structures and combinatorial models · Quantum Chromodynamics and Particle Interactions