Physics of charm and beauty: Chau actively studies the weak interaction properties of the charm and beauty particles. In 1980 she predicted the importance of CP non invariance in the beauty particles. Currently, accelerators (so-called B Factories) are being built to study these particles.

Multiparticle production in High Energy: Multiparticle production constitutes the majority of high energy physics data. Chau and her collaborators have recently found an explicit expression that has a simple physical interpretation and fits the data beautifully. This simple result sums up the experiences learned in multiparticle production in the last 20 years and anticipates the new data that will be gathered in the foreseeable future.

Normal matrix model: Chau not only teaches normal matrix techniques (a matrix is normal if it commutes with its Hermitian conjugate; Hermitian and symmetric matrices are special cases of normal matrices) but also employs them in her current research. She and collaborators have developed a normal matrix model that produces the wave function for the fractional quantum Hall effect. She is now pursuing its further applications in integrable system, condensed matter physics, and neural networks.

New approaches for quantum field theory: The universal problems that theoretical physicists confront today are to find non-perturbative solutions: What is the mass-generating mechanism in the electroweak theory? How do we formulate quantum gravity? What is the mass spectrum in the Yang-Mills theory for the strong interaction? What are the mechanisms for high Tc superconductivity?

We need to find a better way to do quantum field theory since the conventional methods fail to give the needed non-perturbative results. Chau has developed a distinctively new way of doing quantum field theory which makes use of and interacts with the state-of-the-art knowledge in mathematical physics. She challenges experimentalists to look for a new kind of quanta which she has called bi-modulons, which form a particular representation of the Kac-Moody algebra and the quantum group. As an example, she has identified these bi-modulons as the non-abelian generalization of laser light. She will continue this line of research and apply it to condensed matter physics and quantum gravity.

Papers in preparation:
Ling-Lie Chau, Quantization of Supersymmetric WZNW Model;
Ling-Lie Chau, Quantization of N=4 Supersymmetric Yang-Mills Theory
                        in Terms of Group Valued Fields;
Ling-Lie Chau, Integrable-system Approach to Supergravity in High Extended Superspace.
 

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