Mathematical Physics
Mathematical reasoning in physical theories is often formal. For instance, quantum field theory is highly successful in explaining phenomena in high-energy physics, yet it is not, to date, a mathematically self-consistent theory. The purpose of mathematical physics is to provide mathematical tools for existing physical theories, making the mathematical reasoning within them rigorous, or to offer useful mathematical tools for investigating new physical phenomena. On the other hand, the formal reasoning of theories such as quantum field theory and string theory has, in recent years, predicted many profound mathematical results. Proving these results using traditional mathematical theories has become a new and active direction in contemporary mathematical physics research. The mathematical physics team at Zhejiang University focuses on areas including higher vector bundles and higher connection theory, along with their applications in higher gauge field theories; mathematics related to string theory; the mathematics of quantum computation; the Navier-Stokes equations and mathematical fluid dynamics theory; and the mathematical theory of liquid crystals.
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Mathematical reasoning in physical theories is often formal. For instance, quantum field theory is highly successful in explaining phenomena in high-energy physics, yet it is not, to date, a mathematically self-consistent theory. The purpose of mathematical physics is to provide mathematical tools for existing physical theories, making the mathematical reasoning within them rigorous, or to offer useful mathematical tools for investigating new physical phenomena. On the other hand, the formal reasoning of theories such as quantum field theory and string theory has, in recent years, predicted many profound mathematical results. Proving these results using traditional mathematical theories has become a new and active direction in contemporary mathematical physics research. The mathematical physics team at Zhejiang University focuses on areas including higher vector bundles and higher connection theory, along with their applications in higher gauge field theories; mathematics related to string theory; the mathematics of quantum computation; the Navier-Stokes equations and mathematical fluid dynamics theory; and the mathematical theory of liquid crystals.
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