4d Deformed Special Relativity from Group Field Theories

Girelli, Florian; Livine, Etera R.; Oriti, Daniele

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4d Deformed Special Relativity from Group Field Theories

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Oriti, Daniele
Microscopic Quantum Structure & Dynamics of Spacetime, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

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0903.3475v1.pdf
(プレプリント), 350KB

PRD024015.pdf
(全文テキスト（全般）), 187KB

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引用

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

引用: https://hdl.handle.net/11858/00-001M-0000-0013-6061-6

要旨

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.