The $(\phi\sp{2n})\sb{2}$ field Hamiltonian for complex coupling constant

Abstract

We consider hamiltonians ${H_\beta } = {H_0} + \beta {H_I}(g)$, where ${H_0}$ is the hamiltonian of a free Bose field $\phi (x)$ of mass $m > 0$ in two-dimensional space-time, ${H_I}(g) = \smallint g(x):P(\phi (x)):dx$ where $g \geqq 0$ is a spatial cutoff and

Locations

• Transactions of the American Mathematical Society - View - PDF