116617242
Ultraviolet And Infrared Interactions Of The Quantized Field
A plurality of rectangular waves of selected duty cycles and fundamental frequencies are generated. Selected ones of these waveforms are then added at selected amplitude ratios. Such additions provide resultant waveforms of desired fundamental frequencies and having desired harmonic contents or spectra, for simulating the characteristic sounds of acoustical musical instruments.
15693064
Gauge Theory Correlators from Non-Critical String Theory
Abstract We suggest a means of obtaining certain Green's functions in 3+1-dimensional N =4 supersymmetric Yang-Mills theory with a large number of colors via non-critical string theory. The non-critical string theory is related to critical string theory in anti-deSitter background. We introduce a boundary of the anti-deSitter space analogous to a cut-off on the Liouville coordinate of the two-dimensional string theory. Correlation functions of operators in the gauge theory are related to the dependence of the supergravity action on the boundary conditions. From the quadratic terms in supergravity we read off the anomalous dimensions. For operators that couple to massless string states it has been established through absorption calculations that the anomalous dimensions vanish, and we rederive this result. The operators that couple to massive string states at level n acquire anomalous dimensions that grow as 2 ng YM 2N 1/2 for large `t Hooft coupling. This is a new prediction about the strong coupling behavior of large N SYM theory.
14391150
Beyond Space-Time
These notes, based on the remarks made at the 23 Solvay Conference, collect several speculative ideas concerning gauge/ strings duality, de Sitter spaces, dimensionality and the cosmological constant.
118103020
Metastable States of Two-Dimensional Isotropic Ferromagnets
18650930
The Theory of turbulence in two-dimensions
Abstract The methods of conformal field theory are used to obtain series of exact solutions of the fundamental equations of the theory of turbulence. The basic conjecture, proved to be self-consistent, is the conformal invariance of the inertial range. The resulting physical picture is different from the standard one, since the enstrophy transfer is catalyzed by the large-scale motions. The theory gives some unambiguous predictions for the corrections in the inertial range.
121723234
Directions in String Theory
Strings are important objects for physics, although it has not been proved yet. It is a common hope, that they are fundamental elements of grand unification. Much less common is the hope that they describe color-electric fluxes and help to solve gluodynamics and also that they are relevant for the solution of the three-dimensional Ising model. In my talk I shall describe various topics, important for all three problems. I believe that in order to reach understanding it is useful to keep them in mind simultaneously. Unfortunately, my presentation will be fragmentary, because my understanding of the subject is far from complete.
122608189
Study of GaAs as a material for solar neutrino detectors
Abstract Semi-insulating GaAs crystals grown by liquid encapsulated Czochralski technique from Ga-rich melts were evaluated as a possible material for radiation detectors with a high active layer thickness. The density of deep traps, particularly the midgap EL2 donors pinning the Fermi level, was measured by various techniques in conducting and semi-insulating samples. For EL2 traps, a direct evidence of their partial neutralization in the space charge region of reverse biased Schottky diodes due to nonequilibrium capture of electrons is presented for the first time. It is shown that the density of EL2 centers decreases with decreased As composition of the melt very gradually, especially for post-growth annealed samples. Subsequently, if one aims to decrease the EL2 density to such an extent that it would make a serious impact on the depletion layer width in GaAs-based detectors one has to grow semi-insulating GaAs crystals from melts with As composition below about 43% which poses a problem for the preservation of high resistivity of the material due to the relatively high concentration of compensating acceptors.