110 citations · 677 across the 20 of their papers we have counts for
6 papers · 1 filter
Phase structures in fuzzy geometries
T R Govindarajan, S. Digal, K. S. Gupta +1
We study phase structures of quantum field theories in fuzzy geometries. Several examples of fuzzy geometries as well as QFT's on such geometries are considered. They are fuzzy sph…
Fuzzy Orbifolds
Xavier Martin
A family of fuzzy orbifolds are generated by looking at sub-algebras of the fuzzy sphere. One of them is actually commutative and can be mapped exactly onto a lattice. The others a…
A matrix phase for the phi^4 scalar field on the fuzzy sphere
Xavier Martin
The critical properties of the real phi^4 scalar field theory are studied numerically on the fuzzy sphere. The fuzzy sphere is a matrix (non commutative) discretisation of the alge…
Dynamical instability criterion for circular (vorton) string loops
Brandon Carter, Xavier Martin
Dynamic perturbation equations are derived for a generic stationary state of an elastic string model -- of the kind appropriate for representing a superconducting cosmic string --…
Fuzzy Complex Projective Spaces and their Star-products
A. P. Balachandran, Brian P. Dolan, J. Lee +2
We derive an explicit expression for an associative *-product on fuzzy complex projective spaces. This generalises previous results for the fuzzy 2-sphere and gives a discrete non-…
Fuzzy Actions and their Continuum Limits
A. P. Balachandran, X. Martin, Denjoe O'Connor
Previously matrix model actions for ``fuzzy'' fields have been proposed using non-commutative geometry. They retained ``topological'' properties extremely well, being capable of de…