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  4d Deformed Special Relativity from Group Field Theories

Girelli, F., Livine, E. R., & Oriti, D. (2010). 4d Deformed Special Relativity from Group Field Theories. Physical Review D., 81: 024015. Retrieved from http://arxiv.org/abs/0903.3475.

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Item Permalink: http://hdl.handle.net/11858/00-001M-0000-0013-6061-6 Version Permalink: http://hdl.handle.net/11858/00-001M-0000-0013-6063-2
Genre: Journal Article

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 Creators:
Girelli, Florian, Author
Livine, Etera R., Author
Oriti, Daniele1, Author              
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1Microscopic Quantum Structure & Dynamics of Spacetime, AEI-Golm, MPI for Gravitational Physics, Max Planck Society, ou_67201              

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 Abstract: We derive a scalar field theory of the deformed special relativity type, living on non-commutative kappa-Minkowski spacetime and with a kappa-deformed Poincare symmetry, from the SO(4,1) group field theory defining the transition amplitudes for topological BF-theory in 4 space-time dimensions. This is done at a non-perturbative level of the spin foam formalism working directly with the group field theory (GFT). We show that matter fields emerge from the fundamental model as perturbations around a specific phase of the GFT, corresponding to a solution of the fundamental equations of motion, and that the non-commutative field theory governs their effective dynamics.

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 Dates: 2010
 Publication Status: Published in print
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 Rev. Method: -
 Identifiers: eDoc: 429177
Other: arXiv:0903.3475
URI: http://arxiv.org/abs/0903.3475
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Title: Physical Review D.
  Alternative Title : Phys. Rev. D.
Source Genre: Journal
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Publ. Info: Lancaster, Pa. : Published for the American Physical Society by the American Institute of Physics
Pages: - Volume / Issue: 81 Sequence Number: 024015 Start / End Page: - Identifier: Other: 111088197762258
Other: 0556-2821