Path integrals in Snyder space

TL;DR

This paper explores the formulation of path integrals within Snyder space, providing detailed analysis in both traditional and Faddeev-Jackiw formalisms for one- and two-dimensional cases.

Contribution

It introduces a comprehensive approach to defining path integrals in Snyder space using both traditional and Faddeev-Jackiw methods, expanding the theoretical framework.

Findings

Path integrals in Snyder space are formulated in one- and two-dimensional cases.

Comparison between traditional and Faddeev-Jackiw formalisms for Snyder space.

Provides groundwork for quantum theories in noncommutative geometries.

Abstract

The definition of path integrals in one- and two-dimensional Snyder space is discussed in detail both in the traditional setting and in the first-order formalism of Faddeev and Jackiw.