484 research outputs found
Classical and Quantum Composite p-branes
We discuss classical composite p-brane solutions and their quantization using
the conjecture that their fluctuations may be described via degrees of freedom
of Dirichlet strings ended on these p-branes. We work with Dirichlet
(super)strings in framework of string field theory for open (super)strings. To
elaborate in this scheme the eleventh dimension modes we take just a collection
of Dirichlet strings which in their middle points have jumps in eleventh
dimension. This theory can be seen as string field theory in infinite momentum
frame of an eleven dimensional object.Comment: 7 pages, LaTex. Lecture at the XXXIII Karpacz Winter School "Duality
-- String and Fields
Regge Regime in QCD and Asymmetric Lattice Gauge Theory
We study the Regge regime of QCD as a special regime of lattice gauge theory
on an asymmetric lattice. This lattice has a spacing in the longitudinal
direction and a spacing in the transversal direction. The limit
corresponds to correlation functions with small
longitudinal and large transversal coordinates, i.e. large and small .
On this lattice the longitudinal dynamics is described by the usual
two-dimensional chiral field in finite volume and the transversal dynamics is
emerged through an effective interaction of boundary terms of the longitudinal
dynamics. The effective interaction depends crucially on the spectrum of the
two-dimensional chiral field. Massless exitations produce an effective
2-dimensional action which is different from the action recently proposed by
H.Verlinde and E.Verlinde. Massive exitations give raise to an effective action
located on the contour in the longitudinal plane.Comment: LATEX, 13 pages, SMI-15-9
The Master Field for the Half-Planar Approximation for Large Matrix Models and Boltzmann Field Theory
In this talk results of study in various dimensions of the Boltzmann master
field for a subclass of planar diagrams, so called half-planar diagrams, found
in the recent work by Accardi, Volovich and one of us (I.A.) are presented.Comment: Contr. Proc. Buckow Symposium (1995); 6 pages, LATEX uses
twoside.sty, fleqn.sty, espcrc2.sty, emlines.sty, bezier.st
Large Matrix Models and -Deformed Quantum Field Theories
Recently it was shown that an asymptotic behaviour of gauge theory
for large is described by q-deformed quantum field. The master fields for
large N theories satisfy to standard equations of relativistic field theory but
fields satisfy -deformed commutation relations with . These commutation
relations are realized in the Boltzmannian Fock space. The master field for
gauge theory does not take values in a finite-dimensional Lie algebra however
there is a non-Abelian gauge symmetry. The gauge master field for a subclass of
planar diagrams, so called half-planar diagrams, is also considered. A
recursive set of master fields summing up a matreoshka of 2-particles reducible
planar diagrams is briefly described.Comment: 17 pages, latex. To appear in "From Field Theory to Quantum Groups",
World Scientific. Proceedings to honor J.Lukierski in his 60th birthda
Gauge theories of quantum groups
We find two different q-generalizations of Yang-Mills theories. The
corresponding lagrangians are invariant under the q-analogue of infinitesimal
gauge transformations. We explicitly give the lagrangian and the transformation
rules for the bicovariant q-deformation of . The gauge
potentials satisfy q-commutations, as one expects from the differential
geometry of quantum groups. However, in one of the two schemes we present, the
field strengths do commute.Comment: 12 pages, DFTT-19/9
Stringy Dark Energy Model with Cold Dark Matter
Cosmological consequences of adding the Cold Dark Matter (CDM) to the exactly
solvable stringy Dark Energy (DE) model are investigated. The model is
motivated by the consideration of our Universe as a slowly decaying D3-brane.
The decay of this D-brane is described in the String Field Theory framework.
Stability conditions of the exact solution with respect to small fluctuations
of the initial value of the CDM energy density are found. Solutions with large
initial value of the CDM energy density attracted by the exact solution without
CDM are constructed numerically. In contrast to the LambdaCDM model the Hubble
parameter in the model is not a monotonic function of time. For specific
initial data the DE state parameter w_{DE} is also not monotonic function of
time. For these cases there are two separate regions of time where w_{DE} being
less than -1 is close to -1.Comment: 15 pages, 6 figures; references adde
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