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1.
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Intertwining noncommutativity with gravity and particle physics
/ Manolakos, George (Warsaw U.) ; Manousselis, Pantelis (Natl. Tech. U., Athens) ; Roumelioti, Danai (Natl. Tech. U., Athens) ; Stefas, Stelios (Natl. Tech. U., Athens) ; Zoupanos, George (Natl. Tech. U., Athens ; CERN ; Munich, Max Planck Inst. ; Heidelberg U.)
Here we present an overview on the various works, in which many collaborators have contributed, regarding the interesting dipole of noncommutativity and physics. In brief, we present the features that noncommutativity triggers both in the fields of gravity and particle physics, from a matrix-realized perspective, with the notion of noncommutative gauge theories to play the most central role in the whole picture. [...]
arXiv:2305.11785.-
2023-05-17 - 18 p.
- Published in : 10.1140/epjs/s11734-023-00830-8
Fulltext: 2305.11785 - PDF; Publication - PDF; document - PDF;
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2.
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Matrix-Formulated Noncommutative Gauge Theories of Gravity
/ Manolakos, G (Warsaw U.) ; Manousselis, P (Natl. Tech. U., Athens) ; Roumelioti, D (Natl. Tech. U., Athens) ; Stefas, S (Natl. Tech. U., Athens) ; Zoupanos, G (Natl. Tech. U., Athens ; CERN ; Munich, Max Planck Inst. ; U. Heidelberg, ITP)
In the present article first we review the construction of three- and four-dimensional fuzzy spaces and subsequently we present the
construction of fuzzy gravity theories on these noncommutative spaces following the gauge theoretic formulation of gravity..
2022 - 23 p.
- Published in : PoS CORFU2021 (2022) 285
Fulltext: PDF;
In : 21st Hellenic School and Workshops on Elementary Particle Physics and Gravity, Corfu, Greece, 29 Aug - 8 Sep 2021, pp.285
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3.
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Gauge theoretic approach to (ordinary) gravity and its fuzzy extensions in three and four dimensions
/ Manolakos, G (Warsaw U.) ; Manousselis, P (Natl. Tech. U., Athens) ; Roumelioti, D (Natl. Tech. U., Athens) ; Stefas, S (Natl. Tech. U., Athens) ; Zoupanos, G (Natl. Tech. U., Athens ; CERN ; Munich, Max Planck Inst. ; U. Heidelberg, ITP)
In the prospect to discuss the construction of fuzzy gravity theories based on the gauge-theoretic approach of ordinary gravity, in the present article we review first the latter in three and four dimensions and then, after recalling the formulation of gauge theories on noncommutative spaces, we present in detail the construction of fuzzy gravity theories in three and four dimensions, as matrix models..
2022 - 24 p.
- Published in : J. Phys. A 55 (2022) 493001
Fulltext: PDF;
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4.
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A Matrix Model of Four-Dimensional Noncommutative Gravity
/ Manolakos, George (Boskovic Inst., Zagreb) ; Manousselis, Pantelis (Natl. Tech. U., Athens) ; Roumelioti, Danai (Natl. Tech. U., Athens) ; Stefas, Stelios (Natl. Tech. U., Athens) ; Zoupanos, George (Natl. Tech. U., Athens ; CERN ; Munich, Max Planck Inst. ; U. Heidelberg, ITP)
In this review, we revisit our latest works regarding the description of the gravitational interaction on noncommutative spaces as matrix models. Specifically, inspired by the gauge-theoretic approach of (ordinary) gravity, we make use of the suggested methodology, modified appropriately for the noncommutative framework, of the well-established formulation of gauge theories on them. [...]
2022 - 17 p.
- Published in : Universe 8 (2022) 215
Fulltext: PDF;
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5.
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A gauge-theoretic approach of noncommutative gravity in four dimensions
/ Manolakos, G (Natl. Tech. U., Athens ; Boskovic Inst., Zagreb) ; Manousselis, P (Natl. Tech. U., Athens) ; Zoupanos, G (Natl. Tech. U., Athens ; CERN ; Munich, Max Planck Inst. ; U. Heidelberg, ITP)
We recall the well-known description of the conformal gravity as a gauge theory and translate the program to the noncommutative framework by constructing a gravity model on a covariant 4D noncommutative space. After determining the action of the theory we proceed to a symmetry breaking scheme by the imposition of constraints..
2022 - 18 p.
- Published in : Int. J. Mod. Phys. A 37 (2022) 2240011
In : 9th International Conference on New Frontiers in Physics (ICNFP), Online, Greece, 4 - 12 Sep 2020, pp.2240011
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6.
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Four-Dimensional Gravity on a Covariant Noncommutative Space (II)
/ Manolakos, G. (Athens U. ; Boskovic Inst., Zagreb) ; Manousselis, P. (Athens U.) ; Zoupanos, G. (Athens U. ; CERN ; Munich, Max Planck Inst. ; Heidelberg U.)
Based on the construction of the 4-dim noncommutative gravity model described in our previous work, first, a more extended description of the covariant noncommutative space (fuzzy 4-dim de Sitter space), which accommodates the gravity model, is presented and then the corresponding field equations, which are obtained after variation of the previously proposed action, are extracted. Also, a spontaneous breaking of the initial symmetry is performed, this time induced by the introduction of an auxiliary scalar field, and its implications in the reduced theory, which is produced after considering the commutative limit, are examined..
arXiv:2104.13746.-
2021-09-01 - 20 p.
- Published in : 10.1002/prop.202100085
Fulltext: PDF;
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7.
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Gauge Theories on Fuzzy Spaces and Gravity
/ Manolakos, G. (Natl. Tech. U., Athens) ; Manousselis, P. (Natl. Tech. U., Athens) ; Zoupanos, G. (Natl. Tech. U., Athens ; CERN ; Munich, Max Planck Inst.)
We start by briefly reviewing the description of gravity theories as gauge theories in four dimensions. More specifically we recall the procedure leading to the results of General Relativity and Weyl Gravity in a gauge-theoretic manner. [...]
arXiv:1911.04483; CERN-TH-2019-185.-
2019-06-17 - 18 p.
- Published in : 10.1007/978-981-15-7775-8_14
Fulltext: PDF;
In : 13th International Workshop on Lie Theory and Its Applications in Physics, Varna, Bulgaria, 17 - 23 Jun 2019, pp.219-236
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8.
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Coset Space Dimensional Reduction of Einstein--Yang--Mills theory
/ Chatzistavrakidis, A. (Democritos Nucl. Res. Ctr. ; Natl. Tech. U., Athens) ; Manousselis, P. (Natl. Tech. U., Athens ; Patras U.) ; Prezas, N. (CERN) ; Zoupanos, G. (Natl. Tech. U., Athens)
In the present contribution we extend our previous work by considering the coset space dimensional reduction of higher-dimensional Einstein--Yang--Mills theories including scalar fluctuations as well as Kaluza--Klein excitations of the compactification metric and we describe the gravity-modified rules for the reduction of non-abelian gauge theories..
arXiv:0712.2717.-
2007 - 15 p.
- Published in : Fortsch.Phys. 56 (2008) 389-399
Preprint: PDF; External link: Fulltext
In : 3rd Southeastern European Workshop on Challenges Beyond the Standard Model, Djerdap, Serbia, 2 - 9 Sep 2007, pp.389-399
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9.
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On the consistency of coset space dimensional reduction
/ Chatzistavrakidis, A (Institute of Nuclear Physics, NCSR DEMOKRITOS, Athens, Greece ; National Technical Univ. of Athens, Athens, Greece) ; Manousselis, P (National Technical Univ. of Athens, Athens, Greece ; Univ. of Patras, Patras, Greece) ; Prezas, N (CERN) ; Zoupanos, G (National Technical Univ. of Athens, Athens, Greece)
In this letter we consider higher-dimensional Yang-Mills theories and examine their consistent coset space dimensional reduction. Utilizing a suitable ansatz and imposing a simple set of constraints we determine the four-dimensional gauge theory obtained from the reduction of both the higher-dimensional Lagrangian and the corresponding equations of motion. [...]
arXiv:0708.3222; CERN-PH-TH-2007-144.-
2007 - 14 p.
- Published in : Phys. Lett. B 656 (2007) 152-157
External link: Fulltext
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