Speaker
Mr
Tomotaka Kitamura
(Waseda University)
Description
I studied the equivalence between tree unitarity and renormalizability in Lifshitz scalar theory. Tree-level unitarity and renormalizability are believed to be equivalent in field theories. No counter-example is known in relativistic field theories. However, the question whether the equivalence holds true for more generic field theories, such as non-relativistic theories is obscure. In my study, I discussed the equivalence between tree-level unitarity and renormalizability and showed that the equivalence holds true in Lifshitz (non-relativistic) scalar field theory. It can be inferred that tree-level unitarity is useful to investigate renormalizability in a large class field theories, such as Horava-Lifshitz gravity.
