scholarly journals Monopole in the Dilatonic Gauge Field Theory

2000 ◽  
Vol 53 (5) ◽  
pp. 653
Author(s):  
D. Karczewska ◽  
R. Manka
Keyword(s):  
Field Theory ◽  
Gauge Field ◽  
Extra Dimensions ◽  
Numerical Study ◽  
Large Extra Dimensions ◽  
Gauge Field Theory ◽  
Spherically Symmetric ◽  
Dilaton Field ◽  
Klein Theory ◽  
Kaluza Klein

A numerical study of static, spherically symmetric monopole solutions coupled to the dilaton field, inspired by the Kaluza–Klein theory with large extra dimensions is presented. The generalised Prasad?Sommerfield solution is obtained. We show that the monopole may also have the dilaton cloud configurations.

MONOPOLES ARE NOT AN INEVITABLE CONSEQUENCE OF THE GRAND UNIFICATION

1988 ◽  
Vol 03 (14) ◽  
pp. 1379-1384
Author(s):  
N.V. KRASNIKOV
Keyword(s):  
Field Theory ◽  
Gauge Field ◽  
Special Kind ◽  
Unified Model ◽  
Grand Unification ◽  
Gauge Field Theory ◽  
Pure Gauge ◽  
Kaluza Klein

We give an example of the grand unified model without monopoles which arises in Kaluza-Klein compactification of a pure gauge field theory of the special kind.

Spherically symmetric solutions of the poincaré gauge field theory

1983 ◽  
Vol 96 (6) ◽  
pp. 279-282 ◽  
Author(s):  
Peter Baekler
Keyword(s):  
Field Theory ◽  
Gauge Field ◽  
Gauge Field Theory ◽  
Spherically Symmetric ◽  
Spherically Symmetric Solutions

scholarly journals The geometry, branes and applications of exceptional field theory

2020 ◽  
Vol 35 (30) ◽  
pp. 2030014
Author(s):  
David S. Berman ◽  
Chris Blair
Keyword(s):  
Field Theory ◽  
Gauge Field ◽  
Degrees Of Freedom ◽  
Lie Symmetries ◽  
Geometric Symmetry ◽  
Klein Theory ◽  
M Theory ◽  
Kaluza Klein ◽  
Riemannian Spaces

This is a review of exceptional field theory: a generalisation of Kaluza–Klein theory that unifies the metric and [Formula: see text]-form gauge field degrees of freedom of supergravity into a generalised or extended geometry, whose additional coordinates may be viewed as conjugate to brane winding modes. This unifies the maximal supergravities, treating their previously hidden exceptional Lie symmetries as a fundamental geometric symmetry. Duality orbits of solutions simplify into single objects, that in many cases have simple geometric interpretations, for instance as wave or monopole-type solutions. It also provides a route to explore exotic or nongeometric aspects of M-theory, such as exotic branes, [Formula: see text]-folds, and more novel sorts of non-Riemannian spaces.

A NEW STATIC SPHERICALLY SYMMETRIC SOLUTION IN SIX-DIMENSIONAL DILATONIC KALUZA–KLEIN THEORY

2000 ◽  
Vol 09 (01) ◽  
pp. 71-78 ◽  
Author(s):  
M. BIESIADA ◽  
R. MAŃKA ◽  
J. SYSKA
Keyword(s):  
Dark Matter ◽  
Symmetric Solution ◽  
Point Of View ◽  
Back Reaction ◽  
Spherically Symmetric ◽  
Dilaton Field ◽  
Test Particles ◽  
Spherically Symmetric Solution ◽  
Klein Theory ◽  
Kaluza Klein

Multidimensional theories still remain attractive from the point of view of better understanding of fundamental interactions. In this paper we present a new static spherically symmetric solution in a six-dimensional Kaluza–Klein theory with a dilaton field. The solution offers a nonperturbative answer to the problem of metric back--reaction due to presence of a dilaton field. The spacetime described in our paper is everywhere regular without event horizon like the Gross–Perry five-dimensional Kaluza–Klein soliton. The presence of massless dilaton field has the same dynamical effect on test particles as the existence of massive matter which opens up the possibility to consider the dilaton field as a candidate for dark matter.

Riemann–Weyl in Deleuze's Bergsonism and the Constitution of the Contemporary Physico-Mathematical Space

2015 ◽  
Vol 9 (1) ◽  
pp. 59-87 ◽  
Author(s):  
Martin Calamari
Keyword(s):  
Field Theory ◽  
Gauge Field ◽  
Fibre Bundle ◽  
History Of Mathematics ◽  
Gauge Field Theory ◽  
Contemporary Science ◽  
Explicit Mention ◽  
History Of ◽  
Key Features ◽  
Bernhard Riemann

In recent years, the ideas of the mathematician Bernhard Riemann (1826–66) have come to the fore as one of Deleuze's principal sources of inspiration in regard to his engagements with mathematics, and the history of mathematics. Nevertheless, some relevant aspects and implications of Deleuze's philosophical reception and appropriation of Riemann's thought remain unexplored. In the first part of the paper I will begin by reconsidering the first explicit mention of Riemann in Deleuze's work, namely, in the second chapter of Bergsonism (1966). In this context, as I intend to show first, Deleuze's synthesis of some key features of the Riemannian theory of multiplicities (manifolds) is entirely dependent, both textually and conceptually, on his reading of another prominent figure in the history of mathematics: Hermann Weyl (1885–1955). This aspect has been largely underestimated, if not entirely neglected. However, as I attempt to bring out in the second part of the paper, reframing the understanding of Deleuze's philosophical engagement with Riemann's mathematics through the Riemann–Weyl conjunction can allow us to disclose some unexplored aspects of Deleuze's further elaboration of his theory of multiplicities (rhizomatic multiplicities, smooth spaces) and profound confrontation with contemporary science (fibre bundle topology and gauge field theory). This finally permits delineation of a correlation between Deleuze's plane of immanence and the contemporary physico-mathematical space of fundamental interactions.

Monotonicity of solution to the dark monopole equations in non-Abelian gauge field theory

2021 ◽  
Vol 62 (4) ◽  
pp. 041507
Author(s):  
Xiangqin Zhang
Keyword(s):  
Field Theory ◽  
Gauge Field ◽  
Gauge Field Theory ◽  
Abelian Gauge

Adiabatic Limit for Some Nonlinear Equations of Gauge Field Theory

2004 ◽  
Vol 124 (6) ◽  
pp. 5407-5416
Author(s):  
A. G. Sergeev
Keyword(s):  
Field Theory ◽  
Gauge Field ◽  
Nonlinear Equations ◽  
Adiabatic Limit ◽  
Gauge Field Theory
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