Effective theory of braid excitations of quantum geometry in terms of Feynman diagrams

@article{Wan2009EffectiveTO,
  title={Effective theory of braid excitations of quantum geometry in terms of Feynman diagrams},
  author={Yidun Wan},
  journal={Nuclear Physics},
  year={2009},
  volume={814},
  pages={1-20}
}
  • Yidun Wan
  • Published 25 September 2008
  • Physics
  • Nuclear Physics

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References

SHOWING 1-10 OF 36 REFERENCES
Propagation and interaction of chiral states in quantum gravity
On Braid Excitations in Quantum Gravity
TLDR
A mathematical approach to the further research of particle-like excitations in quantum gravity by proposing a new notation for the states in some models of quantum gravity, namely 4-valent spin networks embedded in a topological three manifold.
Conserved quantities for interacting 4-valent braids in quantum gravity
We derive conservation laws from interactions of actively interacting braid-like excitations of embedded framed spin networks in quantum gravity. Additionally we demonstrate that actively interacting
The Group field theory approach to quantum gravity
We give a very concise review of the group field theory formalism for non-perturbative quantum gravity, a higher dimensional generalisation of matrix models. We motivate it as a simplicial and local
Quantum gravity and the standard model
We show that a class of background-independent models of quantum spacetime have local excitations that can be mapped to the first-generation fermions of the standard model of particle physics. These
An Introduction to spin foam models of quantum gravity and BF theory
In loop quantum gravity we now have a clear picture of the quantum geometry of space, thanks in part to the theory of spin networks. The concept of ‘spin foam’ is intended to serve as a similar
Particle Identifications from Symmetries of Braided Ribbon Network Invariants
We develop the idea that the particles of the standard model may arise from excitations of quantum geometry. A previously proposed topological model of preons is developed so that it incorporates an
A Topological model of composite preons
We describe a simple model, based on the preon model of Shupe and Harari, in which the binding of preons is represented topologically. We then demonstrate a direct correspondence between this model
...
...