86 citations · 228 across the 16 of their papers we have counts for
17 papers
Phase Transitions in the Hubbard Model on the Square Lattice
Zhituo Wang
We study the low temperature properties of the two-dimensional weakly interacting Hubbard model on $\ZZZ^2$ with renormalized chemical potential , fixed, in…
Honeycomb Hubbard Model at van Hove Filling
Vincent Rivasseau, Zhituo Wang
This paper is devoted to the rigorous study of the low temperature properties of the two-dimensional weakly interacting Hubbard model on the honeycomb lattice in which the renormal…
Honeycomb Hubbard Model at van Hove Filling II: Lower Bounds of the Self-Energy
Vincent Rivasseau, Zhituo Wang
In this paper we complete the proof that the honeycomb Hubbard model with renormalized chemical potential is {\it not} a Fermi liquid in the mathematically precise sense of S…
Non-Fermi Liquid Behaviors in the Hubbard model on the Honeycomb lattice
Zhituo Wang
In this paper we study the low temperature () behaviors of the weakly interacting Hubbard model on the honeycomb lattice with a bare chemical potential, which takes…
Quantum Quench for inhomogeneous states in the non-local Luttinger model
Vieri Mastropietro, Zhituo Wang
In the Luttinger model with non-local interaction we investigate, by exact analytical methods, the time evolution of an inhomogeneous state with a localized fermion added to the no…
Corrected Loop Vertex Expansion for Phi42 Theory
Vincent Rivasseau, Zhituo Wang
This paper is an extended erratum to J. Math. Phys.53, 042302 (2012) and arXiv:1104.3443, in which the classic construction and Borel summability of the phi^4_2 Euclidean quantum f…
How to Resum Feynman Graphs
Vincent Rivasseau, Zhituo Wang
In this paper we reformulate in a simpler way the combinatoric core of constructive quantum field theory We define universal rational combinatoric weights for pairs made of a graph…
Constructive Renormalization of 2-dimensional Grosse-Wulkenhaar Model
Zhituo Wang
In this talk we briefly report the recent work on the construction of the 2-dimensional Grosse-Wulkenhaar model with the method of loop vertex expansion. We treat renormalization w…
Construction of the noncommutative rank I Bergman domain
Zhituo Wang
In this paper we present a harmonic oscillator realization of the most degenerate discrete series representations of the SU(2,1) group and the deformation quantization of the coset…
Construction of the Noncommutative Complex Ball
Zhituo Wang
We describe the construction of the noncommutative complex ball whose commutative analog is the Hermitian symmetric space , with the method of coherent state quanti…
Constructive Renormalization of the 2-dimensional Grosse-Wulkenhaar Model with Multiscale Loop Vertex Expansions
Zhituo Wang
In this paper we construct the noncommutative Grosse-Wulkenhaar model on 2-dimensional Moyal plane with the method of loop vertex expansion. We treat renormalization with this new…
Constructive Renormalization for Theory with Loop Vertex Expansion
Vincent Rivasseau, Zhituo Wang
In this paper we construct the 2 dimensional Euclidean quantum field theory using the method of loop vertex expansion. We reproduce the results of standard constructive theor…
How are Feynman graphs resumed by the Loop Vertex Expansion?
Vincent Rivasseau, Zhituo Wang
The purpose of this short letter is to clarify which set of pieces of Feynman graphs are resummed in a Loop Vertex Expansion, and to formulate a conjecture on the theory in n…
Quantum Field Theory on quantized Bergman domain
Harald Grosse, Peter Prešnajder, Zhituo Wang
We present an oscillator realization of discrete series representations of group SU(2,2). We give formulas for the coherent state star-product quantization of a Bergman domain .…
Loop Vertex Expansion for Phi^2k Theory in Zero Dimension
Vincent Rivasseau, Zhituo Wang
In this paper we extend the method of loop vertex expansion to interactions with degree higher than 4. As an example we provide through this expansion an explicit proof that the fr…
Topological Graph Polynomials and Quantum Field Theory, Part I: Heat Kernel Theories
T. Krajewski, V. Rivasseau, A. Tanasa +1
We investigate the relationship between the universal topological polynomials for graphs in mathematics and the parametric representation of Feynman amplitudes in quantum field the…
Renormalization of Orientable Non-Commutative Complex Model
Zhituo Wang, Shaolong Wan
In this paper we prove that the Grosse-Wulkenhaar type non-commutative orientable complex scalar theory, with two non-commutative coordinates and the third one commuting wi…