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Quantum cosmology from quantum gravity condensates: cosmological variables and lattice-refined dynamics (2014)
Journal Article
Gielen, S., & Oriti, D. (2014). Quantum cosmology from quantum gravity condensates: cosmological variables and lattice-refined dynamics. New Journal of Physics, 16(12), doi:10.1088/1367-2630/16/12/123004

In the context of group field theory condensate cosmology, we clarify the extraction of cosmological variables from the microscopic quantum gravity degrees of freedom. We show that an important implication of the second quantized formalism is the dep... Read More

Locally covariant quantum field theory with external sources (2014)
Journal Article
J. Fewster, C., & Schenkel, A. (2015). Locally covariant quantum field theory with external sources. Annales Henri Poincaré, 16(10), 2303-2365. doi:10.1007/s00023-014-0372-y

We provide a detailed analysis of the classical and quantized theory of a multiplet of inhomogeneous Klein-Gordon fields, which couple to the spacetime metric and also to an external source term; thus the solutions form an affine space. Following the... Read More

Spacetime effects on satellite-based quantum communications (2014)
Journal Article
Bruschi, D. E., Ralph, T. C., Fuentes, I., Jennewein, T., & Razavi, M. (2014). Spacetime effects on satellite-based quantum communications. Physical Review D - Particles, Fields, Gravitation and Cosmology, 90(4), doi:10.1103/physrevd.90.045041

Quantum cosmology of (loop) quantum gravity condensates: an example (2014)
Journal Article
Gielen, S. (2014). Quantum cosmology of (loop) quantum gravity condensates: an example. Classical and Quantum Gravity, 31(15), doi:10.1088/0264-9381/31/15/155009. ISSN 0264-9381

Spatially homogeneous universes can be described in (loop) quantum gravity as condensates of elementary excitations of space. Their treatment is easiest in the second-quantized group field theory formalism, which allows the adaptation of techniques f... Read More

A C*-algebra for quantized principal U(1)-connections on globally hyperbolic Lorentzian manifolds (2014)
Journal Article
Benini, M., Dappiaggi, C., Hack, T., & Schenkel, A. (2014). A C*-algebra for quantized principal U(1)-connections on globally hyperbolic Lorentzian manifolds. Communications in Mathematical Physics, 332(1), 477-504. doi:10.1007/s00220-014-2100-3

The aim of this work is to complete our program on the quantization of connections on arbitrary principal U(1)-bundles over globally hyperbolic Lorentzian manifolds. In particular, we show that one can assign via a covariant functor to any such bundl... Read More

Homogeneous cosmologies as group field theory condensates (2014)
Journal Article
Gielen, S., Oriti, D., & Sindoni, L. (2014). Homogeneous cosmologies as group field theory condensates. Journal of High Energy Physics, 2014(6), doi:10.1007/jhep06(2014)013

We give a general procedure, in the group field theory (GFT) formalism for quantum gravity, for constructing states that describe macroscopic, spatially homogeneous universes. These states are close to coherent (condensate) states used in the descrip... Read More

Foundations for an iteration theory of entire quasiregular maps (2014)
Journal Article
Bergweiler, W., & NICKS, D. (2014). Foundations for an iteration theory of entire quasiregular maps. Israel Journal of Mathematics, 201(1), 147-184. doi:10.1007/s11856-014-1081-4

The Fatou-Julia iteration theory of rational functions has been extended to uniformly quasiregular mappings in higher dimension by various authors, and recently some results of Fatou-Julia type have also been obtained for non-uniformly quasiregular m... Read More