En la presente tesis doctoral, estudiaremos algunos aspectos de las teorías de campos de gauge definidas en espacio no conmutativo. Los temas específcos de investigación de esta tesis corresponden al estudio algunas propiedades los modelos no conmutativos de Chern-Simons en d =2+1 dimensiones y de Born-Infeld en d =3+1. Con respecto al primer modelo, que será estudiado en la Parte II de la tesis, demostraremos que la acción de Chern-Simons se puede obtener como la anomalía de paridad al integrar fermiones en el plano no conmutativo. Estudiaremos la definición de la acción de Chern-Simons no conmutativa en una variedad con borde, su relación con el modelo quiral no conmutativo de Wess-Zumino-Witten y con la acción de Chern-Simons usual conmutativa. En cuanto al modelo de Born-Infeld no conmutativo, del cual nos ocuparemos en la Parte III, estudiaremos la posibilidad de definir una acción de Born-Infeld no conmutativa, utilizando un orden simétrico en la expansión en potencias del lagrangiano, así como también su posible supersimetrización.

The main goal of this thesis is to present cosmological perturbation theory (based on the standard Friedmann cosmological model) in volume-preserving coordinates, which then provides a suitable basis for studies in cosmological averaging. We review perturbation theory to second order, allowing for averaging to second order in future research. To solve the averaging problem we need a method of covariantly and gauge invariantly averaging tensorial objects on a background manifold. This is a very difficult problem. However, the definition of an average takes on a particularly simple form when written in a system of volume-preserving coordinates. Therefore, we develop a three dimensional and a four dimensional volume-preserving coordinate gauge in this thesis that can be used for averaging in cosmological perturbation theory.

This thesis investigated the effect of the length of the superficial plate on the mechanical properties of a stacked-plate construct made with 2.0-2.7 Veterinary Cuttable platesTM (VCP). Stacking VCP increases construct stiffness compared to using a single VCP but increases stress protection and concentrates stress at the extremities of the implants. We hypothesized that shortening the superficial plate would not reduce the stiffness of the construct, and would reduce stress concentration at the plate ends. A fracture gap model was created with a bone surrogate (copolymer acetal rods), stacked 2.0-2.7 VCP and 2.7 screws. The constructs consisted of an 11-hole VCP bottom plate and a 5-, 7-, 9- or 11-hole VCP superficial plate. In phase one, 5 of each construct were randomly tested for failure in 4-point bending and axial loading. Stiffness, load at yield, and work until failure were measured. In phase two, strains were recorded during elastic deformation for each configuration. During both testing methods, stiffness, load at yield and work to failure progressively decreased when decreasing the length of the superficial plate. No statistically significant differences were obtained for load at yield in 4-point bending and work to failure in axial loading. The strain within the implant over the gap increased as the length of the superficial plate decreased. Shortening the superficial plate reduces the stiffness and strength of the construct, and decreases stress concentration at the implant ends. As the cross section of the implant covering the gap remained constant, friction between the plates may play a role in the mechanical properties of stacked VCP. / Synthes Canada - OVC Pet Trust Fund

<p>Quantum chromodynamics (QCD), the theory of quarks and gluons, is known to be</p><p>the correct description of strong nuclear interactions. At high energy and momenta,</p><p>one can use QCD directly to compute quantities of physical interest related to the</p><p>strong force. At low energies and momenta, one should use a different description in</p><p>terms of the degrees of freedom relevant at that scale. Two approaches to achieve</p><p>this end are effective field theories and gauge/gravity dualities. The former involves</p><p>a field theory more or less like QCD itself, but with states which are composites</p><p>of quarks and gluons. Then a perturbative expansion is made not in terms of the</p><p>gauge coupling but instead in terms of the momentum of the fields. This approach</p><p>dates back to the 1970s and is on firm theoretical footing. Gauge/gravity dualities</p><p>are a newer and less understood technique, which relates the physics of the strong</p><p>interactions to a different but likely equivalent theory in a higher dimensional space-</p><p>time, where the quantity of interest can be computed more readily. We employ</p><p>both effective field theories and gauge/gravity dualities to study the physics of ex-</p><p>otic quarkonium states, that is bound states containing a heavy quark-antiquark pair</p><p>which nevertheless cannot be be understood working only with the standard quark</p><p>model of hadrons. Candidates for such states, long speculated to exist, have recently</p><p>been observed at particle colliders, so that the theory of exotic quarkonium is now</p><p>of great experimental importance.</p> / Dissertation

This research investigates prefabricated light-gauge steel and concrete panels using reliable and commercially viable shear connectors. An analytical and experimental investigation was undertaken to study the flexural behaviour of light-gauge steel and concrete composite panels under uniform pressure. Normalweight and lightweight concrete panels were fabricated by embedding 16-gauge 41 mm x 203 mm steel channel sections (running parallel to each other) to a depth of 38 mm into a 64 mm thick concrete slab. Push-out tests were also conducted to evaluate the efficiency of three types of shear connection mechanism; natural surface bonding, predrilled holes, and punched holes. Only two types of shear connectors (predrilled holes and punched holes) were used in the full-scale panel specimens. Results show that the predrilled holes and punched holes provide full shear transfer between the steel and concrete. The ultimate load carrying capacity of the lightweight concrete panels exhibited similar behaviour to the normalweight concrete panels. All the panels exhibited good load carrying capacity and ductility, and satisfied the serviceability limit state of deflection. Thus, the proposed panels present a potential for a commercially viable composite floor system for building construction utilizing a maximum span of 2330 mm.

Structural Health Monitoring (SHM) is widely used to monitor the short and long-term behavior of intelligent structures. This monitoring can help prolong the useful service lives and identify deficiencies before possible damage of such structures. The sensing systems that are usually deployed are intended to faithfully relay readings that reflect the true conditions of these structures. Unfortunately, this is seldom the case due to the presence of errors in the collected data. The electrical strain gauges used in SHM environments for instrumentation purposes are susceptible to numerous sources of error. Apparent strain is known to be the most serious of all such errors. However or whichever way temperature variations of the gauge’s environment occurs, apparent strain is introduced. This work focuses on modeling apparent strain in an SHM environment using National Instruments’ (NI) hard and software. The results of this work are applicable for thermal compensation in current test programs.

This thesis is devoted to the study of two important applications of gauge-gravity duality: the cosmological singularity problem and conformal fluid dynamics. Gauge-gravity duality is a concrete dual relationship between a gauge theory (such as electromagnetism, the theories of weak and strong interactions), and a theory of strings which contains gravity. The most concrete application of this duality is the AdS/CFT correspondence, where the theory containing gravity lives in the bulk of an asymptotically anti-de-Sitter space-time, while the dual gauge theory is a deformation of a conformal field theory which lives on the boundary of anti-de-Sitter space-time(AdS). Our first application of gauge-gravity duality is to the cosmological singularity problem in string gravity. A cosmological singularity is defined as a spacelike region of space-time which is highly curved so that Einstein’s gravity theory can be no longer applied. In our setup the bulk space-time has low curvature in the far past and the physics is well described by supergravity (which is an extension of standard Einstein gravity). The cosmological singularity is driven by a time dependent string coupling in the bulk theory. The rate of change of the coupling is slow, but the net change of the coupling can be large. The dual description of this is a time dependent coupling of the boundary gauge theory. The coupling has a profile which is a constant in the far past and future and attains a small but finite value at intermediate times. We construct the supergravity solution, with the initial condition that the bulk space-time is pure AdS in the far past and show that the solution remains smooth in a derivative expansion without formation of black holes. However when the intermediate value of the string coupling becomes weak enough, space-time becomes highly curved and the supergravity approximation breaks down, mimicking a spacelike singularity. The resulting dynamics is analyzed in the dual gauge theory with a time dependent coupling constant which varies slowly. We develop an appropriate adiabatic expansion in the gauge theory in terms of coherent states and show that the time evolution continues to be smooth. We cannot, however, arrive at a definitive conclusion about the fate of the system at very late times when the coupling has again risen and supergravity again applies. One possibility is that the energy which has been supplied to the universe is simply extracted out and the space-time goes back to its initial state. This could provide a model for a bouncing cosmology. A second possibility is that dissipation leads to a thermal state at late time. If this possibility holds, we show that such a thermal state will be described either by a gas of strings or by a small black hole, but not by a big black hole. This means that in either case, the future space-time is close to AdS. We then apply gauge-gravity duality to conformal fluid dynamics. The long wavelength behavior of any strongly coupled system with a finite mean free path is described by an appropriate fluid dynamics. The bulk dual of a fluid flow in the boundary theory is a black hole with a slowly varying horizon. In this work we consider certain fluid flows which become supersonic in some regions. It is well known that such flows present acoustic analogs of ergoregions and horizons, where acoustic waves cannot propagate in certain directions. Such acoustic horizons are expected to exhibit thermal radiation of acoustic waves with temperature essentially given by the gradient of the velocity at the acoustic horizon. We find acoustic analogs of black holes in charged conformal fluids and use gauge-gravity duality to construct dual gravity solutions. A certain class of gravitational quasinormal wave modes around these gravitational backgrounds perceives a horizon. Upon quantization, this implies that these gravitational modes should have a thermal spectrum. The final issue that we study is fluid-gravity duality at zero temperature. The usual way of constructing gravity duals of fluid flows is by means of a small derivative expansion, in which the derivatives are much smaller than the temperature of the background black hole. Recently, it has been reported that for charged fluids, this procedure breaks down in the zero temperature limit. More precisely, corrections to the small derivative expansion in the dual gravity of charged fluid at zero temperature have singularities at the black hole horizon. In this case, fluid-gravity duality is not understood precisely. We explore this problem for a zero temperature charged fluid driven by a low frequency, small amplitude and spatially homogeneous external force. In the gravity dual, this force corresponds to a time dependent boundary value of the dilaton field. We calculate the bulk solution for the dilaton and the leading backreaction using a modified low frequency expansion. The resulting solutions are regular everywhere, establishing fluid-gravity duality to this order.

Structural Health Monitoring (SHM) is widely used to monitor the short and long-term behavior of intelligent structures. This monitoring can help prolong the useful service lives and identify deficiencies before possible damage of such structures. The sensing systems that are usually deployed are intended to faithfully relay readings that reflect the true conditions of these structures. Unfortunately, this is seldom the case due to the presence of errors in the collected data. The electrical strain gauges used in SHM environments for instrumentation purposes are susceptible to numerous sources of error. Apparent strain is known to be the most serious of all such errors. However or whichever way temperature variations of the gauge’s environment occurs, apparent strain is introduced. This work focuses on modeling apparent strain in an SHM environment using National Instruments’ (NI) hard and software. The results of this work are applicable for thermal compensation in current test programs.

We study complex analogues on Calabi-Yau manifolds of gauge theories on low dimensional real manifolds. In particular we define a holomorphic analogue of the Casson invariant, counting coherent sheaves on a Calabi-Yau 3-fold.

In this thesis, it is aimed to investigate and analyze the effect of meteorological conditions on airborne dust measured at Ovacik Open Pit Gold Mine. Meteorological data must be sound and reliable which are used mainly to design an air model to predict the effect of industrial sites on air quality during production. Wind speed, wind direction, airtemperature, air pressure, relative humidity, rainfall, evaporation and sunshine. are the parameters investigated in this study. In the thesis, the meteorological data observed are analyzed and discussed together with the airborne dust measured by MP101M Suspended Particulate Beta Gauge Monitor at Ovacik Gold Mine. In this study, the most significant meteorological parameter affecting airborne dust concentration is determined as air temperature. In this study, it is also determined through airborne dust measurements that neither the short-term limit nor the long-term limit has been exceeded. Therefore, the airborne dust concentrations at Ovacik Gold Mine comply with the Turkish Air Quality Control Regulation.