arXiv subjects
Publications and source records attributed to P. D. Xavier.
We consider the recently proposed Bound State Conjecture for quantum field theory in the context of solitons in two dimensional $ϕ^4$ scalar field theory. We calculate the quantum correction to the size of the soliton which, taken together with the known mass correction, shows behaviour consistent with regarding the soliton as a bound state, and with the conjecture.
We consider the model of hard dimers coupled to two-dimensional Causal Dynamical Triangulations (CDT) with all dimer types present and solve it exactly subject to a single restriction. Depending on the dimer weights there are, in addition to the usual gravity phase of CDT, two tri-critical and two dense dimer phases. We establish the properties of these phases, computing their cylinder and disk amplitudes, and their scaling limits.