Results 11 to 20 of about 3,569,422 (339)
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
openaire +5 more sources
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
openaire +5 more sources
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
openaire +8 more sources
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
openaire +5 more sources
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
openaire +5 more sources
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
openaire +5 more sources
Maxwell group and HS field theory [PDF]
Journal of Physics: Conference Series, 2013 1+18 pages, submitted to XXI International Colloquium "Integrable Systems and Quantum Symmetries", Prague 12-16 June 2013, to be published in Journal of Physics: Conference ...
Sergey Fedoruk, Jerzy Lukierski
openaire +5 more sources
Melonic Phase Transition in Group Field Theory [PDF]
Letters in Mathematical Physics, 2014 8 pages, 4 figures; to appear in Letters in Mathematical ...
Baratin, Aristide +4 more
openaire +7 more sources
Proceedings of 3rd Quantum Gravity and Quantum Geometry School — PoS(QGQGS 2011), 2013 Group field theories are particular quantum field theories defined on D copies of a group which reproduce spin foam amplitudes on a space-time of dimension D. In these lecture notes, we present the general construction of group field theories, merging ideas from tensor models and loop quantum gravity. This lecture is organized as follows.
Krajewski, Thomas
openaire +5 more sources
QUANTUM GROUP SCHRÖDINGER FIELD THEORY [PDF]
Modern Physics Letters A, 1993 We show that a quantum deformation of quantum mechanics given in a previous work is equivalent to quantum mechanics on a nonlinear lattice with step size ∆x=(1−q)x. Then, based on this, we develop the basic formalism of quantum group Schrödinger field theory in one spatial quantum dimension, and explicitly exhibit the SU q(2) covariant algebras ...
Ubriaco, Marcelo R.
openaire +5 more sources