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Amir H. Fatollahi

Publications and source records attributed to Amir H. Fatollahi.

47 records · Page 3Linked to original sources
arXiv2001

On Non-Abelian Structure From Matrix Coordinates

We consider the matrix quantum mechanics of N D0-branes in the background of the 1-form RR field. It is observed that the transformations of matrix coordinates of D0-branes induce on the Abelian RR field symmetry transformations that are like those of non-Abelian gauge fields. The Lorentz-like equations of motion for matrix coordinates are derived. The field strengths appearing in the Lorentz-like equations transform in the adjoint representation of U(N) under symmetry transformations. A possible relation between D0-brane dynamics in RR background, and the semi-classical dynamics of charged particles in Yang-Mills background is mentioned.

hep-th↗
arXiv2001

D0-Branes As Light-Front Confined Quarks

We argue that different aspects of Light-Front QCD at confined phase can be recovered by the Matrix Quantum Mechanics of D0-branes. The concerning Matrix Quantum Mechanics is obtained from dimensional reduction of pure Yang-Mills theory to 0+1 dimension. The aspects of QCD dynamics which are studied in correspondence with D0-branes are: 1) phenomenological inter-quark potentials, 2) whiteness of hadrons and 3) scattering amplitudes. In addition, some other issues such as the large-N behavior, the gravity--gauge theory relation and also a possible justification for involving ``non-commutative coordinates'' in a study of QCD bound-states are discussed.

hep-th↗
arXiv2000

Gauge Symmetry As Symmetry Of Matrix Coordinates

We propose a new point of view to gauge theories based on taking the action of symmetry transformations directly on the coordinates of space. Via this approach the gauge fields are not introduced at the first step, and they can be interpreted as fluctuations around some classical solutions of the model. The new point of view is connected to the lattice formulation of gauge theories, and the parameter of noncommutativity of coordinates appears as the lattice spacing parameter. Through the statements concerning the continuum limit of lattice gauge theories, this suggestion arises that noncommutative spaces are the natural ones to formulate gauge theories at strong coupling. Via this point of view, a close relation between the large-N limit of gauge theories and string theory can be manifested.

hep-th↗
arXiv2000

D0-Branes As Confined Quarks

The possibility of using the quantum mechanics of D0-branes for the bound-states of quarks and QCD strings is investigated. Issues such as the inter D0-branes potential, the whiteness of the D0-branes bound-states and the large-N limit of D0-branes effective theory are studied. A possible role of the non-commutativity of relative distances of D0-branes in a study of ordinary QCD is discussed.

hep-th↗
arXiv1999

(m,n)-Strings In IIB Matrix Model

By adding gauge fields to the D-string classical solution, which have non-zero contribution to commutators in continuum limit (extreme large $N$), we introduced $(m,n)$-strings in IIB matrix model. It is found that the size of matrices depends on the value of the electric field. The tension of these strings appears in $SL(2,Z)$ invariant form. The interaction for parallel and angled strings are found in agreement with the string theory for small electric fields.

hep-th↗
arXiv1999

D-Particle Feynman Graphs And Their Amplitudes

It is argued that quantum traveling of D-particles presents the ``joining-splitting'' processes of field theory Feynman graphs. The amplitudes in $d$ dimensions can be corresponded with those of a $d+2$ dimensional theory in the Light-Cone frame. It is shown that this Light-Cone formulation enables to study processes with arbitrary longitudinal momentum transfers. It is discussed that a massless sector exists which can be taken as the low energy limit. By taking the constant relative distance in the bound-states we find a spectrum for the intermediatory fields.

hep-th↗
arXiv1999

Do Quarks Obey D-Brane Dynamics?

The potential between two D0-branes at rest is calculated to be a linear. Also the potential between two fast decaying D0-branes is found in agreement with phenomenological heavy-quark potentials.

hep-ph↗
arXiv1998

Feynman Graphs from D-Particle Dynamics

It is argued that quantum propagation of D-particles in the limit α'-> 0 can represent the "joining-splitting" processes of Feynman graphs of a certain field theory in the light-cone frame. So basically it provides the possibility to define a field theory by its Feynman graphs. The application of this observation to define M-theory by an energetic expansion approach is discussed.

hep-th↗
arXiv1997

M-Branes and Their Interactions in Static Matrix Model

Different BPS M-brane configurations including single and two parallel M$p$-branes ($p$= even) and M5-branes are introduced as the classical solutions of the recently proposed Static Matrix Model. Also the long range interactions of two relatively rotated M$p$-branes (one and two angles) and M$p$-brane--anti-M$p$-brane are calculated. The results are in agreement with 11 dimensional supergravity results.

hep-th↗
arXiv1997

Point-Like Structure in Strings and Non-Commutative Geometry

Dynamics of a free point particle on a multi world-line is presented and shown to reduce to that of a bosonic string theory at the appropriate limit. Other higher dimensional extended objects are argued to appear at other regions of the space of configurations of the theory.

hep-th↗