scholarly journals Hot dense magnetized ultrarelativistic spinor matter in a slab

2016 ◽  
Vol 94 (8) ◽  
Author(s):  
Yurii A. Sitenko
Keyword(s):  
Spinor Matter

scholarly journals Ternary SU(3)-group symmetry and its possible applications in hadron-quark substructure. Towards a new spinor-fermion structure

2019 ◽  
Vol 204 ◽  
pp. 02007
Author(s):  
Alexander Maslikov ◽  
Guennady Volkov
Keyword(s):  
Harmonic Functions ◽  
Complex Space ◽  
Group Symmetry ◽  
Complex Numbers ◽  
Spatial Properties ◽  
Laplace Equations ◽  
Quark Charge ◽  
Spinor Matter ◽  
Quark Substructure

The questions on the existence of the three color quark symmetry and three quark-lepton generations could have the origin associated with the new exotic symmetries outside the Cartan-Killing-Lie algebras/groups. Our long-term search for these symmetries has been began with our Calabi-Yau space classification on the basis of the n-ary algebra for the reflexive projective numbers and led us to the expansion of the binary n = 2 complex and hyper complex numbers in the framework of the n-ary complex and hyper-complex numbers with n = 3, 4, … where we constructed new Abelian and non-Abelian symmetries. We have studied then norm-division properties of the Abelian nary complex numbers and have built the infinite chain of the Abelian groups U(n–1) = [U(1) × … × U(1)](n–1). We have developed the n-ary holomorphic (polymorphic) analysis on the n-ary complex space NC{n}, which led us to the generalization of the quadratic Laplace equations for the harmonic functions. The generalized Laplace equations for the n-ary harmonic functions give us the n-th order homogeneous differential equations which are invariant with respect to the Abelian n-ary groups U(n–1) and with some new spatial properties. Further consideration of the non-Abelian n-ary hyper-complex numbers opens the infinite series of the non-Abelian TnSU(n)-Lie groups(n=3,4,…) and its corresponding tnsu(n) algebras. One of the exceptional features of these symmetry groups is the appearance of some new n-dimensional spinors that could lead to an extension of the concept of the SU(2)-spin, to the appearance of n-dimensional quantum structures -exotic “n-spinor” matter(n = 3, 4, … - maarcrions). It is natural to assume that these new exotic “quantum spinor states” could be candidates for the pra-matter of the quark-charge leptons or/and for the dark matter. We will be also interested in the detection of the exotic quantum ’n-spinor” matter in the neutrino and hadron experiments.

scholarly journals Pressure from the vacuum of confined spinor matter

2015 ◽  
Vol 30 (30) ◽  
pp. 1550184 ◽  
Author(s):  
Yu. A. Sitenko ◽  
S. A. Yushchenko
Keyword(s):  
Magnetic Field ◽  
Boundary Condition ◽  
Boundary Conditions ◽  
Strong Magnetic Field ◽  
Uniform Magnetic Field ◽  
Matter Field ◽  
Vacuum Pressure ◽  
Spatial Region ◽  
Spinor Matter

Charged spinor matter field is quantized in a spatial region bounded by two parallel neutral plates. The most general set of boundary conditions ensuring the confinement of matter within the plates is considered. We study a response of the vacuum of the confined matter to the background uniform magnetic field which is directed orthogonally to the plates. It is proven that, in the case of a sufficiently strong magnetic field, the vacuum pressure onto the plates is positive and independent of the boundary condition, as well as of the distance between the plates.

scholarly journals Chiral effects in magnetized quantum spinor matter in particle and astroparticle physics

2018 ◽  
Vol 33 (34) ◽  
pp. 1845020
Author(s):  
Yu. A. Sitenko
Keyword(s):  
Magnetic Fields ◽  
Boundary Conditions ◽  
Condensed Matter ◽  
High Energy ◽  
Astroparticle Physics ◽  
Strong Magnetic Fields ◽  
Physical Systems ◽  
Spinor Matter ◽  
Chiral Effects

Quantum spinor matter in extremal conditions (high densities and temperatures, presence of strong magnetic fields) have drawn the attention of researchers in diverse areas of contemporary physics, ranging from cosmology, high-energy and astroparticle physics to condensed matter physics. We study an impact of the confining boundary conditions on the properties of physical systems with hot dense magnetized ultrarelativistic spinor matter and elucidate a significant role of boundaries for such systems.

scholarly journals Polarization of the Vacuum of the Quantized Spinor Field by a Topological Defect in the Two-Dimensional Space

2019 ◽  
Vol 64 (11) ◽  
pp. 1069
Author(s):  
Yu. A. Sitenko ◽  
V. M. Gorkavenko
Keyword(s):  
Boundary Conditions ◽  
Topological Defect ◽  
Dimensional Space ◽  
Three Dimensional ◽  
Matter Field ◽  
Two Dimensional ◽  
Quantum Matter ◽  
Spinor Matter ◽  
A Current ◽  
Three Dimensional Space

The two-dimensional space with a topological defect is a transverse section of the three-dimensional space with an Abrikosov–Nielsen–Olesen vortex, i.e. a gauge-flux-carrying tube which is impenetrable for quantum matter. Charged spinor matter field is quantized in this section with the most general mathematically admissible boundary condition at the edge of the defect. We show that a current and a magnetic field are induced in the vacuum. The dependence of results on the boundary conditions is studied, and we find that the requirement of finiteness of the total induced vacuum magnetic flux removes an ambiguity in the choice of boundary conditions. The differences between the cases of massive and massless spinor matters are discussed.

scholarly journals Self-adjointness, confinement and the Casimir effect

2016 ◽  
Vol 14 (3) ◽  
pp. 319-335
Author(s):  
Yu.A. Sitenko ◽  
V.M. Gorkavenko
Keyword(s):  
Magnetic Field ◽  
Boundary Conditions ◽  
Uniform Magnetic Field ◽  
Casimir Effect ◽  
Matter Field ◽  
Spinor Matter ◽  
Magnetic Field Transverse

An influence of a classical magnetic field on the vacuum of the quantized charged spinor matter field confined between two parallel material plates is studied. In the case of the uniform magnetic field transverse to the plates, the Casimir effect is shown to be repulsive, independently of a choice of boundary conditions and of a distance between the plates.

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