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hep-th2023
Mass and infinite dimensional geometry
Puskar Mondal
I unravel an elegant geometric meaning of the mass of the lowest energy excited state of a renormalizable quantized field theory by studying the weighted geometry of the classical…
math.AP2023
Formation of trapped surfaces in the Einstein-Yang-Mills system
Nikolaos Athanasiou, Puskar Mondal, Shing-Tung Yau
We prove a scale-invariant, semi-global existence result and a trapped surface formation result in the context of coupled Einstein-Yang-Mills theory, without symmetry assumptions.…
hep-th2023
A Geometric Approach to the Yang-Mills Mass Gap
Puskar Mondal
I provide a new idea based on geometric analysis to obtain a positive mass gap in pure non-abelian renormalizable Yang-Mills theory. The orbit space, that is the space of connectio…