1,423 research outputs found
Spaces with torsion from embedding and the special role of autoparallel trajectories
As a contribution to the ongoing discussion of trajectories of spinless
particles in spaces with torsion we show that the geometry of such spaces can
be induced by embedding their curves in a euclidean space without torsion.
Technically speaking, we define the tangent (velocity) space of the embedded
space imposing non-holonomic constraints upon the tangent space of the
embedding space. Parallel transport in the embedded space is determined as an
induced parallel transport on the surface of constraints. Gauss' principle of
least constraint is used to show that autoparallels realize a constrained
motion that has a minimal deviation from the free, unconstrained motion, this
being a mathematical expression of the principle of inertia.Comment: LaTeX file in src, no figures. Author Information under
http://www.physik.fu-berlin.de/~kleinert/institution.html . Paper also at
http://www.physik.fu-berlin.de/~kleinert/kleiner_re259/preprint.htm
On a low energy bound in a class of chiral field theories with solitons
A low energy bound in a class of chiral solitonic field theories related the
infrared physics of the SU(N) Yang-Mills theory is established.Comment: Plain Latex, 8 pages, no figure
Compact lattice formulation of Cho-Faddeev-Niemi decomposition: string tension from magnetic monopoles
In this paper we begin on a new lattice formulation of the non-linear change
of variables called the Cho--Faddeev--Niemi decomposition in SU(2) Yang-Mills
theory. This is a compact lattice formulation improving the non-compact lattice
formulation proposed in our previous paper. Based on this formulation, we
propose a new gauge-invariant definition of the magnetic monopole current which
guarantees the magnetic charge quantization and reproduces the conventional
magnetic-current density obtained in the Abelian projection based on the
DeGrand--Toussaint method. Finally, we demonstrate the magnetic monopole
dominance in the string tension in SU(2) Yang-Mills theory on a lattice. Our
formulation enables one to reproduce in the gauge-invariant way remarkable
results obtained so far only in the Maximally Abelian gauge.Comment: 14 pages, v2: minor corrections; v3: explanations added and improve
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