In various physical situations, we need to do various integration. In this talk I will present recent developments how to do these integrations efficiently.
The quantum entangled state, which does not violate the Bell non-locality, can violate the Bell non-locality due to the super-activation. Thus, the quantum entanglement is indeed one of the most important properties of quantum mechanics, i.e., Truth of Nature. We shall propose the quantum entanglement theory from mathematical point of view, i.e., Beauty of Theory. For pure states, considering...
With the development on differential equations and computational algebraic geometry methods, the era of analytic computation of multi-loop multi-leg Feynman integrals is coming. We analytically computed all 2loop 6point and 3loop 5point planar massless Feynman integrals. This is a mile stone of analytic feynman integral computation. Furthermore, based on analytic Feynman integrals, we present...