Coloured Polymers
We show that non-oriented coloured polymers (self--avoiding walks with different types of links) are in the same universality class of the ordinary self--avoiding walks, while the oriented coloured are not.
arXiv subjects
Publications and source records attributed to I. Pesando.
We show that non-oriented coloured polymers (self--avoiding walks with different types of links) are in the same universality class of the ordinary self--avoiding walks, while the oriented coloured are not.
We apply the Ginzburg criterion to the dimer problem and we solve the apparent contradiction of a system with mean field $α={1\over2}$, the typical value of tricritical systems, and upper critical dimension $D_{cr}=6$. We find that the system has upper critical dimension $D_{cr}=6$ , while for $D\le4$ it should undergo a first order phase transition. We comment on the latter wrong result examining the approximation we used.
We extend the classical heterotic instanton solutions to all orders in $α'$ using the equations of anomaly-free supergravity, and discuss the relation between these equations and the string theory $β$-functions.