Browsing Division of Physical and Mathematical Sciences by Title
Now showing items 21-40 of 960
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Analytical Mellin-Barnes techniques with applications to two-loop SU(3) chiral perturbation theory and QED at higher loops
The present era is one of precision in particle physics. To account for the lacunae in the otherwise successful Standard Model, observables are calculated to high precision in various theoretical models, which are then ... -
Analyzing Credit Risk Models In A Regime Switching Market
(2016-04-25)Recently, the financial world witnessed a series of major defaults by several institutions and investment banks. Therefore, it is not at all surprising that credit risk analysis have turned out to be one of the most important ... -
Anomalous Translational And Reorientational Dynamics Of Single File Water
(2010-04-12)This thesis deals with several aspects of translational and reorientational dynamics of water molecules confined inside narrow carbon nanotubes. Water molecules confined in a non-polar, nanoscopic pore exhibit extremely ... -
Application of Experience Mapping based Predictive Controller (EMPC) for Under-damped and Unstable Systems
Experience Mapping based Predictive Controller (EMPC) is a concept based on the principle of Human Motor Control, that was earlier developed and applied to control a well damped Type 1 system. In this thesis, the concepts ... -
Applications of Holography
This thesis consists of four parts. In the first part of the thesis, we investigate the phase structure of Einstein-Maxwell-Scalar system with a negative cosmological constant. For the conformally coupled scalar, an ... -
Applications of Moonshine Symmetry in String Theory
In this thesis we study the applications of Mathieu moonshine symmetry to compacti cations of supersymmetric string theories. These theories are compacti ed on a 6 dimensional manifold K3 T2. The main ingredient in ... -
Aspects of conformal field theories at finite temperature
In this thesis we have studied broadly two aspects of thermal field theory. We began by examining how the macroscopic system (described by relativistic hydrodynamics) behalves in presence of microscopic anomalies. We ... -
Aspects of Heavy Supersymmetry
The recent discovery of a Higgs boson with a mass around 125 GeV, taken together with experimental results from flavor factories, dark matter direct detection, and searches for SUSY particles in the LHC suggest that ... -
Aspects of Higher Spin Theories Conformal Field Theories and Holography
(2018-05-30)This dissertation consist of three parts. The first part of the thesis is devoted to the study of gravity and higher spin gauge theories in 2+1 dimensions. We construct cosmological so-lutions of higher spin gravity in 2+1 ... -
Aspects of Holography and Quantum complexity
We begin with the Principle of holography and the AdS/CFT correspondence. We begin our investigations by considering the Principle of Holography, at the level of codimension-1 screens. We argue that the mechanism of encoding ... -
Aspects of low-dimensional quantum systems in and out-of-equilibrium
The classification of novel phases of matter beyond the Landau paradigm has been comprehensively explored over the past decade. In this context, one-dimensional quantum systems are particularly promising, as they host ... -
Aspects of time dependence in quantum quenches
In this thesis we study the time dependence of correlators such as Green function, entanglement (Renyi) entropy and mutual information following quantum quench in Conformal Field Theories (CFTs) and their holographic duals ... -
Asymptotic Analysis of Multi-scale, Multi-loop Feynman Diagrams
It is very challenging to solve multi-scale, multi-loop Feynman diagrams analytically. The presence of different kinematic scales makes the computation of Feynman diagrams very difficult, sometimes impossible to get the ... -
Asymptotic Lower Bound for Quasi Transitive Codes over Cubic Finite Fields
(2018-07-14)Algebraic geometric codes were first introduced by V.D.Goppa . They were well recognized and developed by Tsfasman, Vladut and Zink because they have parameters better than Gilbert-Varshmov bound and thus giving rise to ... -
Automation of Microscopic Tests for Cyto-diagnostics Using Custom-built Slide Scanner
(2017-10-11)Optical microscopy is the simplest and the gold standard method adopted for the screening and subsequent diagnosis of various hematological and infectious diseases like malaria, sickle cell disease, tuberculosis etc. In ... -
Axially Symmetric Equivalents Of Three-Dimensional Rf Ion Traps
(2013-09-13)This thesis presents axially symmetric equivalents of three-dimensional rf ion traps. Miniaturization in mass spectrometry has focused on miniaturizing mass analyzers. Decrease in mass analyzer size facilitates reduction ... -
A Bayesian Approach To Positron Emission Tomography
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Betti Numbers, Grobner Basis And Syzygies For Certain Affine Monomial Curves
(Indian Institute of Science, 2007-03-30)Let e > 3 and mo,... ,me_i be positive integers with gcd(m0,... ,me_i) = 1, which form an almost arithmetic sequence, i.e., some e - 1 of these form an arithmetic progression. We further assume that m0,... ,mc_1 generate ...