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Free keywords:
General Relativity and Quantum Cosmology, gr-qc,High Energy Physics - Theory, hep-th,Mathematical Physics, math-ph,Mathematics, Mathematical Physics, math.MP
Abstract:
In this paper we introduce the algebraic formulation for group field theory
and study non-Fock (condensate) representations based on coherent states. We
show that we can construct representation with infinite number of particles in
group field theories on compact base manifolds, similarly to what one can do on
non-compact manifolds. We also show that the constructed representations break
translation symmetry. Since such representations describe quantum gravity
systems with infinite number of fundamental pre-geometric building blocks, they
can be more suitable for description of effective spatiotemporal phases of the
theory.
