# Quantum topology change and large-N gauge theories

@article{Albuquerque2004QuantumTC, title={Quantum topology change and large-N gauge theories}, author={Luiz C. de Albuquerque and Paulo Teotonio-Sobrinho and Sachindeo Vaidya}, journal={Journal of High Energy Physics}, year={2004}, volume={2004}, pages={024-024} }

We study a model for dynamical localization of topology using ideas from non-commutative geometry and topology in quantum mechanics. We consider a collection X of N one-dimensional manifolds and the corresponding set of boundary conditions (self-adjoint extensions) of the Dirac operator D. The set of boundary conditions encodes the topology and is parameterized by unitary matrices g. A particular geometry is described by a spectral triple x(g) = (AX,X,D(g)). We define a partition function for…

## 4 Citations

### Localization of quantum topology in the presence of matter and gauge fields

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- 2014

In this paper a toy model of quantum topology is reviewed to study effects of matter and gauge fields on the topology fluctuations. In the model a collection of N one-dimensional manifolds is…

### Fluctuating Commutative Geometry

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- 2003

We use the framework of noncommutative geometry to define a discrete model for fluctuating geometry. Instead of considering ordinary geometry and its metric fluctuations, we consider generalized…

### Quantum Physics and Fluctuating Topologies: Survey

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- 2012

The spin-statistics connection, quantum gravity and other physical considerations suggest that classical space-time topology is not an immutable attribute and can change in quantum physics. The…

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