基本信息科学研究 / Research讲授课程 / Teaching
基本信息
哈工大数学研究院准聘副教授。

教育经历 / Education

标题教育经历

学习机构巴黎第十一大学 / Universite de Paris-sud 11

学历博士 / Ph. D


研究领域
主要研究方向为非交换几何，数学物理。

近期主要研究方向为：

1) 非交换量子场论。

2) 量子多体理论与概率论。

Erdos Index: 4

Einstein Index: 4


论文 / Publication

论文标题Constructive Renormalization of the 2-Dimensional Grosse–Wulkenhaar Model

作者Zhituo Wang

期刊名称Annales Henri Poincaré

期卷Ann. Henri Poincare 19 (2018), 2435–2490

简单介绍56 pages; The first fully constructed non-trivial, non-solvable matrix model.


论文标题Corrected loop vertex expansion for Φ42 theory

作者 Vincent Rivasseau, Zhituo Wang

期刊名称Journal of Mathematical Physics

期卷56, 062301 (2015); https://doi.org/10.1063/1.**

简单介绍23 pages; Multi-scale loop vertex expansions for the simplest renormalizable QFT model. The slice-testing expansions was introduced for the first time.


论文标题How to resum Feynman graphs

作者Vincent Rivasseau, Zhituo Wang

期刊名称Annales Henri Poincaré

期卷November 2014, Volume 15, Issue 11, pp 2069–2083

简单介绍15 pages; Clarify how Feynman graphs from ordinary perturbation expansions are resumed in the Loop vertex expansions.


论文标题Quantum quench for inhomogeneous states in the nonlocal Luttinger model

作者Vieri Mastropietro, Zhituo Wang

期刊名称 PHYSICAL REVIEW B

期卷Volume: 91 Issue: 8 Article Number: 085123

简单介绍Mathematically rigorous results concerning steady states in non-equilibrium statistical mechanics. A damping behavior for the time evolution of the one-particle initial state was derived for the first time, with full mathematical rigor, with the method of Mattis-Lieb. We confirmed the results with the Bosonization formulas a la E. Langmann.


论文标题 Construction of the noncommutative complex ball

作者Zhituo Wang

期刊名称Journal of Mathematical Physics

期卷Volume: 55 Issue: 9 Article Number: 092302

简单介绍Deformation quantization of rank 1 Bergman domain with coherent states quantization.


论文标题Construction of the noncommutative rank I Bergman domain

作者Zhituo Wang

期刊名称 Springer Proc. Math. Stat.,

期卷36 Lie theory and its applications in physics, 381–388,



论文标题Quantum field theory on quantized Bergman domain

作者Harald Grosse, Peter Presnajder, Zhituo Wang

期刊名称Journal of Mathematical Physics

期卷 Volume: 53 Issue: 1 Article Number: 013508

简单介绍Construction of a rank 2 noncommutative Bergman domain with coherent states quantization. Possible QFT model was discussed.


论文标题 Loop vertex expansion for Phi(2k) theory in zero dimension

作者Vincent Rivasseau, Zhituo Wang

期刊名称Journal of Mathematical Physics

期卷Volume: 51 Issue: 9 Article Number: 092304

简单介绍We generalize the LVE techniques to higher order interactions. A first step towards construction of P(PHI)2 QFT model with LVE, or Multi-scale LVE.


论文标题 Topological graph polynomials and quantum field theory Part I: heat kernel theories

作者Thomas Krajewski, Vincent Rivasseau, Adrian Tanasa, Zhituo Wang

期刊名称JOURNAL OF NONCOMMUTATIVE GEOMETRY

期卷Volume: 4 Issue: 1 Pages: 29-82 DOI 10.4171/JNCG/49

简单介绍54 pages. First mathematical rigorous proof of the equivalence between the Tutte polynomials for random graphs and the Symanzik polynomials for scalar QFT.Also the first rigorous proof of the equivalence between the Bolobas-Riordan polynomials for ribbon graphs and the Symanzik polynomials for non-commutative scalar QFT.


论文标题 Renormalization of orientable non-commutative Complex Phi(6)(3) model

作者Zhituo Wang, Shaolong Wan

期刊名称Annales Henri Poincaré

期卷 Volume: 9 Issue: 1 Pages: 65-90

简单介绍26 pages. We constructed the first 2+1 dimensional non-commutative quantum field theory model with commutative time variable that is perturbatively renormalizable to all orders.

讲授课程 / Courses
1 李群初步 / Theory of Lie Groups， 2017春季学期研究生课程。教材及重要参考文献： Claude Chevalley,Theory of Lie Groups。

2 有限群表示论 / Representation theory for finite groups， 2018春季学期研究生课程。 教材及重要参考文献： Gordan James, Martin Liebeck,Representations and Characters of groups.