vix.ing · top · new · best · stats · spec

Quantum Energy of Fuzzy Sphere: Gaussian Variational Method

2003/03/22 by Yu-Jie Zhong, Zhong, Yu-Jie, Wung-Hong Huang +1
Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #Black Holes and Theoretical Physics #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Noncommutative and Quantum Gravity Theories #hep-th

paper · pdf · doi:10.48550/arxiv.hep-th/0303196

Short summary of the Master-thesis

arxiv created 2003/03/22 · openalex publication_date 2003/03/22 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The matrix model with mass term has a nontrivially classical solution which is known to represent a noncommutative fuzzy sphere. The fuzzy sphere has a lower energy then that of the trivial solution. In this letter we investigate the quantum correction of the energy of the fuzzy sphere by using the Gaussian variational technique, in contrast to the other studying in which only the small fluctuation was considered. Our result, which only considering the boson part, shows that the quantum correction does not change the stability of the fuzzy sphere.

Citations

Related