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High Energy Scattering of D–pair Creation
 in Matrix String Theory hepth/9804121
"... In this paper we use the matrix string approach to begin a study of high energy scattering processes in Mtheory. In particular we exhibit an instantontype configuration in 1+1 superYangMills theory that can be interpreted as a nonperturbative description of a string interaction. This solution i ..."
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In this paper we use the matrix string approach to begin a study of high energy scattering processes in Mtheory. In particular we exhibit an instantontype configuration in 1+1 superYangMills theory that can be interpreted as a nonperturbative description of a string interaction. This solution is used to describe high energy processes with nonzero longitudinal momentum exchange, in which an arbitrary number of eigenvalues get transferred between the two scattering states. We describe a direct correspondence between these semiclassical SYM configurations and the GrossMende saddle points. We also study in detail the pair production of Dparticles via a oneloop calculation which in the 1+1D gauge theory language is described by the (perturbative) transition between states with different electric flux. Finally, we discuss a possible connection between these calculations in which Dparticle production gives important corrections to the GrossMende process.
The M(atrix) model of Mtheory
 LECTURE NOTES FOR NATO SCHOOL “QUANTUM GEOMETRY”
, 1999
"... These lecture notes give a pedagogical and (mostly) selfcontained review of some basic aspects of the Matrix model of Mtheory. The derivations of the model as a regularized supermembrane theory and as the discrete lightcone quantization of Mtheory are presented. The construction of Mtheory obje ..."
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These lecture notes give a pedagogical and (mostly) selfcontained review of some basic aspects of the Matrix model of Mtheory. The derivations of the model as a regularized supermembrane theory and as the discrete lightcone quantization of Mtheory are presented. The construction of Mtheory objects from matrices is described, and gravitational interactions between these objects are derived using YangMills perturbation theory. Generalizations of the model to compact and curved spacetimes are discussed, and the current status of the theory is reviewed.
Introduction to string theory
 Lect. Notes Phys
"... Abstract. We give a pedagogical introduction to string theory, Dbranes and pbrane ..."
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Abstract. We give a pedagogical introduction to string theory, Dbranes and pbrane
Supersymmetric homogeneous Quantum Cosmology
, 2003
"... Canonical N = 1, D = 4 quantum supergravity is studied in a modeamplitude basis, where its supersymmetry generators are found to be represented by deformed exterior derivatives on configuration space. Cosmological models in supergravity are shown to be governed by the covariant version of the Witten ..."
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Canonical N = 1, D = 4 quantum supergravity is studied in a modeamplitude basis, where its supersymmetry generators are found to be represented by deformed exterior derivatives on configuration space. Cosmological models in supergravity are shown to be governed by the covariant version of the Witten model of supersymmetric quantum mechanics. Properties of the latter are investigated and the results are applied to homogeneous supersymmetric models derived from 4 and 11dimensional supergravity. In the first part of this text, covariant supersymmetric quantum mechanics of a point, propagating on a pseudoRiemannian manifold of arbitrary dimension, is studied in an operatorbased framework with emphasis on differential geometric methods and the theory of Dirac operators. The indefiniteness of the underlying metric gives rise to constrained dynamics, which necessitates gauge fixing and the search for well defined scalar products and conserved probability
PERSPECTIVES OF LIGHTFRONT QUANTIZED FIELD THEORY: SOME NEW RESULTS ∗†
, 1999
"... A review of some basic topics in the lightfront (LF) quantization of relativistic field theory is made. It is argued that the LF quantization is equally appropriate as the conventional one and that they lead, assuming the microcausality principle, to the same physical content. This is confirmed in ..."
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A review of some basic topics in the lightfront (LF) quantization of relativistic field theory is made. It is argued that the LF quantization is equally appropriate as the conventional one and that they lead, assuming the microcausality principle, to the same physical content. This is confirmed in the studies on the LF of the spontaneous symmetry breaking (SSB), of the degenerate vacua in Schwinger model (SM) and Chiral SM (CSM), of the chiral boson theory, and of the QCD in covariant gauges among others. The discussion on the LF is more economical and more transparent than that found in the conventional equaltime quantized theory. The removal of the constraints on the LF phase space by following the Dirac method, in fact, results in a substantially reduced number of independent dynamical variables. Consequently, the descriptions of the physical Hilbert space and the vacuum structure, for example, become more tractable. In the context of the DysonWick perturbation theory the relevant popagators in the front form theory are causal. The Wick rotation can then be performed to employ the Euclidean space
Bloch Waves and Fuzzy Cylinders: 1 4BPS Solutions of Matrix Theory
, 2005
"... In this note, we present a broad class of 1 4 −BPS solutions to matrix theory, corresponding to noncommutative cylinders of arbitrary crosssectional profile in R 8. The solutions provide a microscopic description of a general supertube configuration. Taking advantage of an analogy between a compac ..."
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In this note, we present a broad class of 1 4 −BPS solutions to matrix theory, corresponding to noncommutative cylinders of arbitrary crosssectional profile in R 8. The solutions provide a microscopic description of a general supertube configuration. Taking advantage of an analogy between a compact matrix dimension and the Hamiltonian of a 1dimensional crystal, we use a Bloch wave basis to diagonalize the transverse matrices, finding a distribution of eigenvalues The dimensional reduction of tendimensional U(N) super Yang Mills theory to 0+1 dimensions has been seen to contain a remarkable structure. Since its original consideration in the 80’s [1], it has emerged as the worldline theory of a collection of D0branes, and more recently as a nonperturbative definition of Mtheory [2].
Chiral boson theory on the lightfront
 SLAC preprint, SLACPUB8252; hepph/9909412
"... The front form framework for describing the quantized theory of chiral boson is discussed. It avoids the conflict with the requirement of the principle of microcausality as is found in the conventional instant form treatment. The discussion of the FloreaniniJackiw model and its modified version for ..."
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The front form framework for describing the quantized theory of chiral boson is discussed. It avoids the conflict with the requirement of the principle of microcausality as is found in the conventional instant form treatment. The discussion of the FloreaniniJackiw model and its modified version for describing the chiral boson becomes very transparent on the lightfront. Keywords: Chiral boson, Selfdual fields, Lightfront quantization
Matrix Model for DLCQ of AdS IIB String Theory from Unstable NonBPS D0Branes
, 2007
"... Based on a system of J number of unstable nonBPS D0branes of type IIB theory in the lightcone gauge and on the planewave background, we construct a 1parameter family of 0+1dimensional U(J) gauge theories in the form of supersymmetric matrix quantum mechanics. This configuration suffers from ta ..."
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Based on a system of J number of unstable nonBPS D0branes of type IIB theory in the lightcone gauge and on the planewave background, we construct a 1parameter family of 0+1dimensional U(J) gauge theories in the form of supersymmetric matrix quantum mechanics. This configuration suffers from tachyonic instability which dynamically stabilizes through the process of open string tachyon condensation. At the true extrema of the effective potential and by taking kinematical low energy limit to decouple the heavy modes, it leads to a Matrix theory which we propose to be the discrete lightcone quantization (DLCQ) of type IIB string theory in the sector with J units of lightcone momentum on the AdS (and/or planewave) background. At the minima, where the tachyon has been condensed, nonBPS D0branes have been blown up to configurations of fuzzy 3spheres which go over to BPS spherical D3brane giant gravitons in the string theory (continuum) limit J → ∞. PACS numbers: 11.25.w, 11.25.Sq, 11.25.Tq, 02.10.Yn1 Introduction and Motivation Over the course of time through revolutionary progress and inspired by the web of
Coincidences between M(atrix) Theory and Algebraic QFT?
, 1998
"... This is a preliminary account of coincidences between algebraic QFT and some recent observations on “light cone quantization ” and applications to “M ” theory. The most surprising correspondence is that between the existence of wedge affiliated semiglobal field coordinates without vacuum polarizatio ..."
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This is a preliminary account of coincidences between algebraic QFT and some recent observations on “light cone quantization ” and applications to “M ” theory. The most surprising correspondence is that between the existence of wedge affiliated semiglobal field coordinates without vacuum polarization and those light cone fields (on which “Matrix ” theory is based) with analogous properties. There is also an indication that algebraic QFT leads to a generic “Holographic ” picture of entropy. As a rule of thumb quasiclassical and geometric pictures abstracted from string theory correspond to nonperturbative quantum properties in the algebraic approach to QFT. The unravelling of the latter requires new physical concepts. 1
A Random Matrix Approach to Language Acquisition
, 909
"... Abstract. Since language is tied to cognition, we expect the linguistic structures to reflect patterns we encounter in nature and analyzed by physics. Within this realm we investigate the process of protolanguage acquisition, using analytical and tractable methods developed within physics. A protola ..."
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Abstract. Since language is tied to cognition, we expect the linguistic structures to reflect patterns we encounter in nature and analyzed by physics. Within this realm we investigate the process of protolanguage acquisition, using analytical and tractable methods developed within physics. A protolanguage is a mapping between sounds and objects (or concepts) of the perceived world. This mapping is represented by a matrix and the linguistic interaction among individuals is described by a random matrix model. There are two essential parameters in our approach. The strength of the linguistic interaction β, which following Chomsky’s tradition, we consider as a genetically determined ability, and the number N of employed sounds (the lexicon size). Our model of linguistic interaction is analytically studied using methods of statistical physics and simulated by Monte Carlo techniques. The analysis reveals an intricate relationship between the innate propensity for language acquisition β and the lexicon size N, N ∼ exp(β). Thus a small increase of the genetically determined β may lead to an incredible lexical explosion. Our approximate scheme offers an explanation for the biological affinity of different species and their simultaneous linguistic disparity. PACS numbers: 05.10.Ln; 89.20.a