Global ETD Search
Search theses and dissertations gathered from participating repositories worldwide. Every result links back to the library that holds it. No account is needed.
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Showing 1 to 20 of 21 for “"Large N limit"”.
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The North Pole Problem and Recent Developments in Infinitesimal Free Probability
… matrix ensembles and their transposes in the large N limit, leading to the observation of a common phenomenon --- the vanishing of the mixed real infinitesimal cumulants --- that hold for the GUE and the complex Wishart ensemble and their transposed ensembles. This phenomenon leads to …
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Black hole singularities in the framework of gauge/string duality
… space Wightman functions of CFT operators of large dimensions. This allows to probe the regions inside the horizon and near the singularity using the CFT. Information about the black hole singularity is encoded in the exponential falloff of finite-temperature correlators at large imaginary …
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Emergent Times in Holographic Duality
… A key element is the emergence, in the large N limit of the boundary theory, of a type III1 von Neumann algebraic structure from the type I boundary operator algebra and the half-sided modular translation structure associated with it. A by-product is a concept called causal …
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A cluster algorithm for Gross-Neveu fermions at nonzero temperature
… consistent with a phase transition in the large N limit.
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Indices for Supersymmetric Quantum Field Theories in Four Dimensions
… we can extract the index in the appropriate limit. This approach only provides us with the free field theory limit for the index and does not account for the values of the $R$-charges away from free field theories. To circumvent this limitation, we then study a theory on $\mathbb{R}\times …
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Holography, large N, and supersymmetry on the lattice
… (SYM) theories in various dimensions, their large N limit, and their role in a better understanding of gauge/gravity duality.</p>
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Quantum phase transitions in disordered magnets
… with O(N) order parameter symmetry in the large-N limit. Our algorithm solves iteratively the large-N self-consistent equations for the renormalized distances from criticality. Paper VI is devoted to the study of transport properties in the quantum Griffiths phase associated with the …
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Aspects of finite temperature field theories in Ads/CFT
… a class of compact manifolds (like S3). In the large N limit, finite temperature correlation functions of gauge invariant single-trace operators in the low temperature phase are related to those at zero temperature by summing over images of each operator in the Euclidean time direction. As a …
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Quantum correlations, quantum resource theories and exclusion game
… (internal) information cost vanishes in the large n limit. For those parameters, we prove the quantum communication cost (the size of quantum communication to succeed) is lower bounded by Q (log n), thereby proving an infinite gap between quantum information and communication costs. This …
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Self-duality for SU([infinity]) gauge theories and extended objects
… developed using the correspondence between the large N limit of SU(N) gauge theories and the membrane theory. This correspondence is established via the use of the coadjoint orbit method. It is shown that classical gauge field theories can be formulated on the coadjoint orbits of an infinite …
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Microstructure of Systems with Competition
… with long range interactions, we find that the largest correlation length diverges in the limit of high temperatures. We derive an exact form for the correlation function in large-n systems with general two-point interactions at finite temperatures. From this, we obtain some features of the …
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Supersymmetric backgrounds of M-theory and AdS4/CFT3 correspondence
… gravitational free energy<br/>agrees with the large N limit of the dual field theory free energy, obtained from the localized partition function of a class of N = 2 Chern-Simons-matter theories. In this context, we present a complete class of supersymmetric backgrounds of N = 2 gauged …
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Algebraic central limit theorems in noncommutative probability
… conditions for the existence of central limit laws. In contrast to classical probability theory, there exist many different central limit laws for exchangeable sequences of noncommutative random variables and still little is known about their concrete form. This thesis goes one step …
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Two topics in non-perturbative lattice field theories : the U(1) quantum link model and perfect actions for scalar theories
… We study the O(N) non-linear r-model in the large-N limit and derive analytically its perfect action. This action is applied to the 0(3) model on a square lattice. The Wolff cluster algorithm is used to simulate numerically the system. We perform scaling tests and discuss the scaling …
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Black holes and solitons in string theory and M-theory: a low energy limit analysis
… of our approach, the instability window enlarges and grows with α ′ . In the context of the D = 5, N = 2 gauged STU model, we construct supersymmetric solitons, establishing new asymptotically locally AdS5 solutions with nontrivial boundary conditions for the gauge fields and their uplifts …
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Dynamics on networks
… a deterministic condition for the model in the large N limit, giving almost sure existence of a partially entrained cluster of computable size. We then explore a social network model describing the formation of opinions. Two approaches, automorphism reduction method and ""nearest-neighbor"" …
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Spectral and dynamical properties of disordered and noisy quantum spin models
… of the average density of states, exact in the large-N limit, and interpret the result in terms of the addition of freely independent random variables. In the second part, we turn our attention to noisy quantum spins. Chapter 5 is concerned with noninteracting spins coupled to a common …
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Dynamics of Chiral Fermions
… powerful constraints on the dynamics in the large $N$ limit. In addition, we study these $SU(N)$ theories with an extra Weyl fermion transforming in the adjoint representation. Here we show that all $21$ ‘t Hooft anomalies for global symmetries are matched with those of a Spin$(8)$ gauge …
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Strongly coupled fermions on the lattice
… (EP) early on in the field was to generate large masses for these additional chiral states by coupling them to additional composite fermions. These composite fermions would arise as bound states via an auxiliary Yukawa interaction. Hence in the continuum limit mirror modes will be forced to …
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