Based on the general principles of Lorentz symmetry and unitarity, we introduce two consistency conditions -- on-shell gauge symmetry and strong massive-massless continuation -- in constructing amplitudes of massive gauge theory with elementary particles. In particular we argue that on-shell gauge symmetry can be understood as a consequence of Lorentz symmetry, unitarity and...
Embed in Grassmannians, we can obtain the analytical hypergeometric function representation of multi-loop Feynman integrals with masses. We can make the classification among those hypergeometric function solutions by geometric configurations, and generalize Gauss relations among the hypergeometric functions to complete analytic continuation of the solutions. This method can be applicable to...
The possibility that a black hole catalyzes vacuum decay is an interesting and important topic both phenomenologically and theoretically. One of the issues is the choice of the vacuum state. To address it, we consider a (1+1)-dimensional toy model of a scalar field with inverted Liouville potential in an external background of a dilaton black hole. We study the decay of a general...
