On octonion quark confinement condition

2021 ◽  
Vol 36 (37) ◽  
Author(s):  
B. C. Chanyal
Keyword(s):  
Quark Confinement ◽  
Octonion Algebra ◽  
Color Confinement ◽  
Color Field ◽  
Confinement Condition

The octonion algebra is analyzed using a formalism that demonstrates its use in color quark confinement. In this study, we attempt to write a connection between octonion algebra and SU(3)[Formula: see text] group generators, as well as color quarks representation. We demonstrated the glueballs construction in the extended octonionic color field and also proposed the prerequisite for octonion color confinement of hadrons.

scholarly journals An octonion algebra originating in combinatorics

2010 ◽  
Vol 138 (12) ◽  
pp. 4187-4187
Author(s):  
Dragomir Ž. Đoković ◽  
Kaiming Zhao
Keyword(s):  
Octonion Algebra

scholarly journals Trace dynamics and division algebras: towards quantum gravity and unification

2020 ◽  
Vol 0 (0) ◽  
Author(s):  
Tejinder P. Singh
Keyword(s):  
Lie Group ◽  
Planck Scale ◽  
The Self ◽  
Division Algebras ◽  
Quantum Field ◽  
Octonion Algebra ◽  
Gauge Transformations ◽  
Yang Mills ◽  
Massless Spin ◽  
Correct Understanding

AbstractWe have recently proposed a Lagrangian in trace dynamics at the Planck scale, for unification of gravitation, Yang–Mills fields, and fermions. Dynamical variables are described by odd-grade (fermionic) and even-grade (bosonic) Grassmann matrices. Evolution takes place in Connes time. At energies much lower than Planck scale, trace dynamics reduces to quantum field theory. In the present paper, we explain that the correct understanding of spin requires us to formulate the theory in 8-D octonionic space. The automorphisms of the octonion algebra, which belong to the smallest exceptional Lie group G2, replace space-time diffeomorphisms and internal gauge transformations, bringing them under a common unified fold. Building on earlier work by other researchers on division algebras, we propose the Lorentz-weak unification at the Planck scale, the symmetry group being the stabiliser group of the quaternions inside the octonions. This is one of the two maximal sub-groups of G2, the other one being SU(3), the element preserver group of octonions. This latter group, coupled with U(1)em, describes the electrocolour symmetry, as shown earlier by Furey. We predict a new massless spin one boson (the ‘Lorentz’ boson) which should be looked for in experiments. Our Lagrangian correctly describes three fermion generations, through three copies of the group G2, embedded in the exceptional Lie group F4. This is the unification group for the four fundamental interactions, and it also happens to be the automorphism group of the exceptional Jordan algebra. Gravitation is shown to be an emergent classical phenomenon. Although at the Planck scale, there is present a quantised version of the Lorentz symmetry, mediated by the Lorentz boson, we argue that at sub-Planck scales, the self-adjoint part of the octonionic trace dynamics bears a relationship with string theory in 11 dimensions.

P-28: Color Field Sequential LCD Using an OCB-TFT-LCD

2000 ◽  
Vol 31 (1) ◽  
pp. 632 ◽  
Author(s):  
Norio Koma ◽  
Tetsuya Miyashita ◽  
Tatsuo Uchida ◽  
Nobuhiro Mitani
Keyword(s):  
Color Field

scholarly journals Dark matter, dark energy and gravity

2015 ◽  
Vol 24 (02) ◽  
pp. 1550012 ◽  
Author(s):  
B. A. Robson
Keyword(s):  
Dark Matter ◽  
Dark Energy ◽  
Particle Physics ◽  
Composite Structures ◽  
Gravitational Interaction ◽  
Asymptotic Freedom ◽  
Generation Model ◽  
Newtonian Gravitation ◽  
Color Confinement ◽  
Vector Bosons

Within the framework of the Generation Model (GM) of particle physics, gravity is identified with the very weak, universal and attractive residual color interactions acting between the colorless particles of ordinary matter (electrons, neutrons and protons), which are composite structures. This gravitational interaction is mediated by massless vector bosons (hypergluons), which self-interact so that the interaction has two additional features not present in Newtonian gravitation: (i) asymptotic freedom and (ii) color confinement. These two additional properties of the gravitational interaction negate the need for the notions of both dark matter and dark energy.

scholarly journals Quark confinement in C-periodic cylinders at temperatures above Tc

1997 ◽  
Vol 415 (2) ◽  
pp. 179-185 ◽  
Author(s):  
K. Holland ◽  
U.-J. Wiese
Keyword(s):  
Quark Confinement

scholarly journals Attosecond source generation using polarized gating two-color field combined with unipolar pulse

2016 ◽  
Vol 94 (7) ◽  
pp. 651-658 ◽  
Author(s):  
Liqiang Feng ◽  
Hang Liu
Keyword(s):  
Harmonic Generation ◽  
Extreme Ultraviolet ◽  
Harmonic Spectrum ◽  
High Order ◽  
High Order Harmonic Generation ◽  
Emission Process ◽  
Harmonic Emission ◽  
High Order Harmonic ◽  
Unipolar Pulse ◽  
Color Field

High-order harmonic generation and attosecond extreme-ultraviolet source generation have been theoretically investigated by controlling the two-color polarized gating field combined with the unipolar pulse. The results show that by properly optimizing the polarized two-color field as well as the unipolar pulse, not only is the harmonic cutoff remarkably extended, but the single short quantum path has also been selected to contribute to the harmonic spectrum, resulting in a 313 eV less modulated supercontinuum. Classical and quantum analyses are shown to explain the harmonic emission process. Finally, the proper superposition of harmonics, a series of isolated sub-50 as pulses, can be obtained.

Wave mixing and high-harmonic generation enhancement by a two-color field driven dielectric metasurface [Invited]

2021 ◽  
Vol 19 (12) ◽  
pp. 123202
Author(s):  
Weifeng Yang ◽  
Yichong Lin ◽  
Xueyi Chen ◽  
Yuxuan Xu ◽  
Hongdan Zhang ◽  
...  
Keyword(s):  
Harmonic Generation ◽  
High Harmonic ◽  
High Harmonic Generation ◽  
Wave Mixing ◽  
Color Field ◽  
Dielectric Metasurface
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