Zobrazeno 1 - 10
of 16
pro vyhledávání: '"Aristide Baratin"'
Publikováno v:
New Journal of Physics, Vol 14, Iss 10, p 103054 (2012)
Spin foam models are an attempt at a covariant or path integral formulation of canonical loop quantum gravity. The construction of such models usually relies on the Plebanski formulation of general relativity as a constrained BF theory and is based o
Externí odkaz:
https://doaj.org/article/4cd472a9c3264608a52e35a0776b9cd2
Autor:
Laurent Freidel, Aristide Baratin
Publikováno v:
Classical and Quantum Gravity. 24:1993-2026
In this work we show that 3d Feynman amplitudes of standard QFT in flat and homogeneous space can be naturally expressed as expectation values of a specific topological spin foam model. The main interest of the paper is to set up a framework which gi
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::562e9c4c85f3a8db046d32eda80a616a
https://doi.org/10.1088/0264-9381/24/8/006
https://doi.org/10.1088/0264-9381/24/8/006
Publikováno v:
Letters in Mathematical Physics
Letters in Mathematical Physics, Springer Verlag, 2014, 104 (8), pp.10.1007/s11005-014-0699-9. ⟨10.1007/s11005-014-0699-9⟩
Letters in Mathematical Physics, Springer Verlag, 2014, 104 (8), pp.10.1007/s11005-014-0699-9. ⟨10.1007/s11005-014-0699-9⟩
Group field theories have recently been shown to admit a 1/N expansion dominated by so-called `melonic graphs', dual to triangulated spheres. In this note, we deepen the analysis of this melonic sector. We obtain a combinatorial formula for the melon
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::0e500fa3c83652fde299ebdbc2619229
https://hal.archives-ouvertes.fr/hal-01116631
https://hal.archives-ouvertes.fr/hal-01116631
Publikováno v:
Physical Review D. 90
Group field theories (GFT) are higher dimensional generalizations of matrix models whose Feynman diagrams are dual to triangulations. Here we propose a modification of GFT models that includes extra field indices keeping track of the bubbles of the g
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::15b2869da525afa4fbeb2b4161aee4e6
https://doi.org/10.1103/physrevd.90.024069
https://doi.org/10.1103/physrevd.90.024069
Publikováno v:
Memoirs of the American Mathematical Society
A "2-group" is a category equipped with a multiplication satisfying laws like those of a group. Just as groups have representations on vector spaces, 2-groups have representations on "2-vector spaces", which are categories analogous to vector spaces.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::3b6bf2e9061ed7465e180790ddd9f5b8
https://hdl.handle.net/11858/00-001M-0000-0013-4727-011858/00-001M-0000-0013-4728-E
https://hdl.handle.net/11858/00-001M-0000-0013-4727-011858/00-001M-0000-0013-4728-E
Autor:
Daniele Oriti, Aristide Baratin
Publikováno v:
Journal of Physics: Conference Series
We provide a short and non-technical summary of our current knowledge and some possible perspectives on the group field theory formalism for quantum gravity, in the form of a (partial) FAQ (with answers). Some of the questions and answers relate to a
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::3b2361fa45d6ec0922969759c372065d
https://hdl.handle.net/11858/00-001M-0000-000F-A189-A11858/00-001M-0000-000F-A18A-811858/00-001M-0000-000F-A188-C
https://hdl.handle.net/11858/00-001M-0000-000F-A189-A11858/00-001M-0000-000F-A18A-811858/00-001M-0000-000F-A188-C
Publikováno v:
Classical and Quantum Gravity
Classical and Quantum Gravity, 2011, 28 (17), pp.175011. ⟨10.1088/0264-9381/28/17/175011⟩
Classical and quantum gravity
Classical and Quantum Gravity, IOP Publishing, 2011, 28 (17), pp.175011. ⟨10.1088/0264-9381/28/17/175011⟩
Classical and Quantum Gravity, 2011, 28 (17), pp.175011. ⟨10.1088/0264-9381/28/17/175011⟩
Classical and quantum gravity
Classical and Quantum Gravity, IOP Publishing, 2011, 28 (17), pp.175011. ⟨10.1088/0264-9381/28/17/175011⟩
The Hilbert space of loop quantum gravity is usually described in terms of cylindrical functionals of the gauge connection, the electric fluxes acting as non-commuting derivation operators. It has long been believed that this non-commutativity preven
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::ef3cd1393ab41aa438df164fba11d312
https://hal.science/hal-00728903
https://hal.science/hal-00728903
Autor:
Aristide Baratin, Daniele Oriti
Publikováno v:
Physical Review D
In a recent work, a dual formulation of group field theories as non-commutative quantum field theories has been proposed, providing an exact duality between spin foam models and non-commutative simplicial path integrals for constrained BF theories. I
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::84c2541c7b08e0f0798235ae1e6d3964
https://hal.science/hal-00651689
https://hal.science/hal-00651689
Autor:
Daniele Oriti, Aristide Baratin
Publikováno v:
Physical Review Letters
We introduce a dual formulation of group field theories, making them a type of non-commutative field theories. In this formulation, the variables of the field are Lie algebra variables with a clear interpretation in terms of simplicial geometry. For
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::ef0f0955977260a0e577a7621263c76b
https://pubmed.ncbi.nlm.nih.gov/21231377
https://pubmed.ncbi.nlm.nih.gov/21231377
Publikováno v:
AIP conference proceedings
Baratin, Aristide; & Wise, Derek K.(2009). 2-Group Representations for Spin Foams. AIP Conf. Proc.1196:28-35, 2009. doi: 10.1063/1.3284396. UC Davis: Department of Mathematics. Retrieved from: http://www.escholarship.org/uc/item/3xg329wv
Baratin, Aristide; & Wise, Derek K.(2009). 2-Group Representations for Spin Foams. AIP Conf. Proc.1196:28-35, 2009. doi: 10.1063/1.3284396. UC Davis: Department of Mathematics. Retrieved from: http://www.escholarship.org/uc/item/3xg329wv
Just as 3d state sum models, including 3d quantum gravity, can be built using categories of group representations, "2-categories of 2-group representations" may provide interesting state sum models for 4d quantum topology, if not quantum gravity. Her
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::4709218affc0de4ca3d5d8a9b525aaac
https://hdl.handle.net/11858/00-001M-0000-0013-6119-211858/00-001M-0000-0013-611A-F11858/00-001M-0000-000E-EEA8-4
https://hdl.handle.net/11858/00-001M-0000-0013-6119-211858/00-001M-0000-0013-611A-F11858/00-001M-0000-000E-EEA8-4