15 citations · 41 across the 10 of their papers we have counts for
10 papers
Homology in Abelian Lattice Models
Mark Rakowski, Siddhartha Sen
We study abelian lattice gauge theory defined on a simplicial complex with arbitrary topology. The use of dual objects allows one to reformulate the theory in terms of new dynamica…
On the Quantum Kinetic Equation in Weak Turbulence
Mark Rakowski, Siddhartha Sen
The quantum kinetic equation used in the study of weak turbulence is reconsidered in the context of a theory with a generic quartic interaction. The expectation value of the time d…
Topological Modes in Dual Lattice Models
Mark Rakowski
Lattice gauge theory with gauge group is reconsidered in four dimensions on a simplicial complex . One finds that the dual theory, formulated on the dual block complex $…
Discrete Quantum Field Theories and the Intersection Form
Danny Birmingham, Mark Rakowski
It is shown that the standard mod- valued intersection form can be used to define Boltzmann weights of subdivision invariant lattice models with gauge group . In particul…
State Sum Models and Simplicial Cohomology
Danny Birmingham, Mark Rakowski
We study a class of subdivision invariant lattice models based on the gauge group , with particular emphasis on the four dimensional example. This model is based upon the as…
On Dijkgraaf-Witten Type Invariants
Danny Birmingham, Mark Rakowski
We explicitly construct a series of lattice models based upon the gauge group which have the property of subdivision invariance, when the coupling parameter is quantized an…