Temat: Gauge theory - Katalog OPAC zbiorów

Skocz do pozycji: 1.

Tytuł:: Some remarks on quantum and braided group gauge theory
Autorzy:: Majid, Shahn
Powiązania:: https://bibliotekanauki.pl/articles/1342806.pdf
Data publikacji:: 1997
Wydawca:: Polska Akademia Nauk. Instytut Matematyczny PAN
Tematy:: bosonisation
gauge theory
connection
braided group
quantum group
fiber bundle
noncommutative geometry
Opis:: We clarify some aspects of quantum group gauge theory and its recent generalisations (by T. Brzeziński and the author) to braided group gauge theory and coalgebra gauge theory. We outline the diagrammatic version of the braided case. The bosonisation of any braided group provides us a trivial principal bundle in three ways.
Źródło:: Banach Center Publications; 1997, 40, 1; 335-349
0137-6934
Pojawia się w:: Banach Center Publications
Dostawca treści:: Biblioteka Nauki

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Skocz do pozycji: 2.

Tytuł:: A Gauge Model for Gravity and considerations on the Asymmetry of Time and the SU (2) Mass Gap
Autorzy:: Kabe, Koustubh
Powiązania:: https://bibliotekanauki.pl/articles/1178329.pdf
Data publikacji:: 2017
Wydawca:: Przedsiębiorstwo Wydawnictw Naukowych Darwin / Scientific Publishing House DARWIN
Tematy:: Gauge theory
general relativity
gravity
loop quantum gravity
mass gap
quantum field theory
quantum gravity
string theory
super gravity (SUGRA)
super symmetry (SUSY)
time
time asymmetry
Opis:: A new formulation of the Hamiltonian formalism of general relativity is developed based on the adiabatic variation of the Hamiltonian constraint. This new formulation consists of complex valued anti-Hermitian 1- called the Berry gauge potentials. These are then used to develop the complex Berry-Einstein-Yang-Mills curvature 2- . The Berry-Yang-Mills field equations are then developed and interpreted in a novel manner to incorporate quantum temporal strings in the non-perturbative formalism. This is however just highlighted in this paper and will be pursued in another paper. Since, the holonomy phase construed is that of Lorentz rotation we perceive a new quantum structure of the space-time namely that of causality. The future light cones are soldered internally to the tensor fields naturally so that the Berry-Ehresmann connection defines a quantum gauge field of causality. This field evokes the causal structure attributed to space-time as gauge degrees of freedom of quantum space ― a fluid of future light cones. This symmetry being of the gauge field type has three generators i.e., three gauge bosons― all heavy and therefore attracted by gravity. Thus causality is a local gauge degree of freedom of gravity. Once the theory is developed, the problem of the mass gap is considered for our gauge field. It seems that the problem is solved in this paper.
Źródło:: World Scientific News; 2017, 81, 2; 198-220
2392-2192
Pojawia się w:: World Scientific News
Dostawca treści:: Biblioteka Nauki

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Skocz do pozycji: 3.

Tytuł:: Potential theory for the α-stable Schrödinger operator on bounded Lipschitz domains
Autorzy:: Bogdan, Krzysztof
Byczkowski, Tomasz
Powiązania:: https://bibliotekanauki.pl/articles/1217276.pdf
Data publikacji:: 1999
Wydawca:: Polska Akademia Nauk. Instytut Matematyczny PAN
Tematy:: α-stable Lévy processes
α-stable Feynman-Kac semigroup
weak fractional Laplacian
α-stable Schrödinger operator
potential theory
q-harmonic functions
conditional gauge theorem
Opis:: The purpose of the paper is to extend results of the potential theory of the classical Schrödinger operator to the α-stable case. To obtain this we analyze a weak version of the Schrödinger operator based on the fractional Laplacian and we prove the Conditional Gauge Theorem.
Źródło:: Studia Mathematica; 1999, 133, 1; 53-92
0039-3223
Pojawia się w:: Studia Mathematica
Dostawca treści:: Biblioteka Nauki

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