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Group Field Theory Condensate Cosmology: An Appetizer [PDF]
Universe, 2019 This contribution is an appetizer to the relatively young and fast-evolving approach to quantum cosmology based on group field theory condensate states. We summarize the main assumptions and pillars of this approach which has revealed new perspectives on
Andreas G. A. Pithis +1 more
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THE HEISENBERG GROUP AND CONFORMAL FIELD THEORY [PDF]
The Quarterly Journal of Mathematics, 2011 45 pages, some parts have been rewritten. Version to appear in Quart.
Hessel Posthuma
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Aspects of group field theory [PDF]
AIP Conference Proceedings, 2012 I review the basic ingredients of discretized gravity which motivate the introduction of Group Field Theory. Thus I describe the GFT formulation of some models and conclude with a few remarks on the emergence of noncommutative structures in such models.
Vitale, Patrizia
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Group Field Theory: An Overview [PDF]
International Journal of Theoretical Physics, 2005 We give a brief overview of the properties of a higher dimensional generalization of matrix model which arises naturally in the context of a background independent approach to quantum gravity, the so called group field theory. We show that this theory leads to a natural proposal for the physical scalar product of quantum gravity.
A. Mikovic +32 more
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Classical group field theory [PDF]
Journal of Mathematical Physics, 2012 The ordinary formalism for classical field theory is applied to dynamical group field theories. Focusing first on a local group field theory over one copy of SU(2) and then, on more involved nonlocal theories (colored and noncolored) defined over a tensor product of the same group, we address the issue of translation and dilatation symmetries and the ...
Joseph Ben Geloun +2 more
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Colored Group Field Theory [PDF]
Communications in Mathematical Physics, 2011 Group field theories are higher dimensional generalizations of matrix models. Their Feynman graphs are fat and in addition to vertices, edges and faces, they also contain higher dimensional cells, called bubbles. In this paper, we propose a new, fermionic Group Field Theory, posessing a color symmetry, and take the first steps in a systematic study of ...
A. Perez +27 more
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EPRL/FK group field theory [PDF]
EPL (Europhysics Letters), 2010 The purpose of this short note is to clarify the Group Field Theory vertex and propagators corresponding to the EPRL/FK spin foam models and to detail the subtraction of leading divergences of the model.
Vincent Rivasseau +2 more
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QUANTUM GROUPS AND FIELD THEORY [PDF]
Modern Physics Letters A, 2000 When the symmetry of a physical theory describing a finite system is deformed by replacing its Lie group by the corresponding quantum group, the operators and state function will lie in a new algebra describing new degrees of freedom. If the symmetry of a field theory is deformed in this way, the enlarged state space will again describe additional ...
R. J. Finkelstein
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Bosonic colored group field theory [PDF]
The European Physical Journal C, 2010 Bosonic colored group field theory is considered. Focusing first on dimension four, namely the colored Ooguri group field model, the main properties of Feynman graphs are studied. This leads to a theorem on optimal perturbative bounds of Feynman amplitudes in the "ultraspin" (large spin) limit. The results are generalized in any dimension.
Vincent Rivasseau +4 more
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Holographic Entanglement in Group Field Theory [PDF]
Universe, 2019 This work is meant as a review summary of a series of recent results concerning the derivation of a holographic entanglement entropy formula for generic open spin network states in the group field theory (GFT) approach to quantum gravity. The statistical
Goffredo Chirco
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