Coherent-state path integrals in the continuum: The SU(2) case

TL;DR

This paper introduces a consistent method for defining spin coherent-state path integrals in the continuum, enabling more accurate approximations and broad applications in spin Hamiltonian problems.

Contribution

It presents a new, consistent formalism for continuum spin coherent-state path integrals that reproduces exact results and enhances approximation accuracy.

Findings

Reproduces known exact results for spin systems

Provides a consistent framework for continuum path integrals

Facilitates improved approximation methods

Abstract

We define the time-continuous spin coherent-state path integral in a way that is free from inconsistencies. The proposed definition is used to reproduce known exact results. Such a formalism opens new possibilities for applying approximations with improved accuracy and can be proven useful in a great variety of problems where spin Hamiltonians are used.