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Edward Wilson-Ewing, 23rd February 2015 [PDF 1.69MB]
Edward Wilson-Ewing, 23rd February 2015 [PDF 1.69MB]

Beyond the Standard Model
Beyond the Standard Model

... The first version of these notes was written up for lectures at the 1995 AIO-school (a school for PhD students) on theoretical particle physics. Later they were adapted for lectures at the Radboud University in Nijmegen, aimed at undergraduate students in their fourth year. This means that no detail ...
Theoretical studies of frustrated magnets with dipolar interactions
Theoretical studies of frustrated magnets with dipolar interactions

... extent, such models are able to qualitatively expose many experimentally observed phenomena. But often, to account for complex behavior of magnetic matter, such models have to be refined by including more terms in Hamiltonian. The compound LiHox Y1−x F4 , by increasing concentration of nonmagnetic y ...
FROM INFINITESIMAL HARMONIC TRANSFORMATIONS TO RICCI
FROM INFINITESIMAL HARMONIC TRANSFORMATIONS TO RICCI

Ph. D. Thesis
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Lesson 3: Making Scale Drawings Using the Parallel

Light-Front Holographic QCD and Emerging
Light-Front Holographic QCD and Emerging

... Furthermore, dynamical observables in Minkowski space-time are not obtained directly from Euclidean space lattice computations. Other methods, as for example the DysonSchwinger equations, have also led to many important insights, such as the infrared fixed-point behavior of the strong coupling const ...
Orthogonal metals: The simplest non-Fermi liquids
Orthogonal metals: The simplest non-Fermi liquids

... Fermi surface, and the Zn gauge fields are gapped. For most of the paper, we will discuss only single-band models and Ising slave spins as it most clearly and simply illustrates the main results. Generalization to other situations is straightforward and we will comment on these briefly when we discuss ...
The effects of disorder in strongly interacting quantum systems
The effects of disorder in strongly interacting quantum systems

... This thesis contains four studies of the e↵ects of disorder and randomness on strongly correlated quantum phases of matter. Starting with an itinerant ferromagnet, I first use an order-by-disorder approach to show that adding quenched charged disorder to the model generates new quantum fluctuations ...
Geometry, 2nd Semester Exam (Review)
Geometry, 2nd Semester Exam (Review)

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Instructions - Slide Rule Museum

... L Scale. A scale equally divided and the same length as the other scales. The L scale is so designed that when the hairline is placed to any number on the C scale the mantissa of the logarithm of that number is read on the L scale. LL1-2-3. Each in their order, are parts of one scale. It is used in ...
Contents
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Dynamics of the two-spin spin-boson model with a
Dynamics of the two-spin spin-boson model with a

The Haldane-charge conjecture
The Haldane-charge conjecture

arXiv:1601.06197v1 [cond-mat.quant
arXiv:1601.06197v1 [cond-mat.quant

... become significant, and a description beyond the quantum Boltzmann equation is required. We note that for open systems such as excitonpolariton condensates, the quasi-coherent dynamics of such low-energy modes will in general be sensitive to the driving and dissipation corresponding to the continual ...
Sixty Years of Fractal Projections arXiv
Sixty Years of Fractal Projections arXiv

Mass hierarchy and physics beyond the Standard Theory
Mass hierarchy and physics beyond the Standard Theory

Black Holes in String Theory
Black Holes in String Theory

Ontological Aspects of Quantum Field Theory edited by
Ontological Aspects of Quantum Field Theory edited by

modified actions for gravity: theory and phenomenology
modified actions for gravity: theory and phenomenology

Chapter 6 Study guide (click to open)
Chapter 6 Study guide (click to open)

Introduction to Group Field Theory
Introduction to Group Field Theory

Dual Shattering Dimension
Dual Shattering Dimension

Non-Perturbative Aspects of Nonlinear Sigma Models
Non-Perturbative Aspects of Nonlinear Sigma Models

... A peculiar characteristic of nontrivial quantum field theories is the inevitable appearance of divergences. It was an important achievement in the development of QFT to formulate a renormalization procedure [8] which enables to remove these divergences. While this procedure is successful in many mode ...
Lesson 1: Scale Drawings
Lesson 1: Scale Drawings

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Scale invariance



In physics, mathematics, statistics, and economics, scale invariance is a feature of objects or laws that do not change if scales of length, energy, or other variables, are multiplied by a common factor. The technical term for this transformation is a dilatation (also known as dilation), and the dilatations can also form part of a larger conformal symmetry.In mathematics, scale invariance usually refers to an invariance of individual functions or curves. A closely related concept is self-similarity, where a function or curve is invariant under a discrete subset of the dilatations. It is also possible for the probability distributions of random processes to display this kind of scale invariance or self-similarity.In classical field theory, scale invariance most commonly applies to the invariance of a whole theory under dilatations. Such theories typically describe classical physical processes with no characteristic length scale.In quantum field theory, scale invariance has an interpretation in terms of particle physics. In a scale-invariant theory, the strength of particle interactions does not depend on the energy of the particles involved.In statistical mechanics, scale invariance is a feature of phase transitions. The key observation is that near a phase transition or critical point, fluctuations occur at all length scales, and thus one should look for an explicitly scale-invariant theory to describe the phenomena. Such theories are scale-invariant statistical field theories, and are formally very similar to scale-invariant quantum field theories.Universality is the observation that widely different microscopic systems can display the same behaviour at a phase transition. Thus phase transitions in many different systems may be described by the same underlying scale-invariant theory.In general, dimensionless quantities are scale invariant. The analogous concept in statistics are standardized moments, which are scale invariant statistics of a variable, while the unstandardized moments are not.
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