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The Physical Vacuum: Where Particle Physics Meets Cosmology
The Physical Vacuum: Where Particle Physics Meets Cosmology

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... from the Sun is the same for all planets (Weinberg,1993). Newton developed the idea of an inverse square law for gravitation in order to explain Kepler’s laws, in particular, the third law. Kepler’s laws were formulated on the basis of observational data and therefore are of empirical nature. A basi ...
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... space since the wavefunction has spherical symmetry. At higher energy the orbitals may take other shapes. The use of computational means The major challenge in representing atomic orbital functions arises from the fact that each location in 3-D space has an associated value of ψ 2 . Traditional repr ...
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... can transfer different amounts of energy at different positions. This allows us to sample the shape of the waveform. In the quantum world, the energy of one entire quantum must be transferred at once. Once the quantum is transferred, the state of the particle changes to a state with one less quantum ...
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Fundamental Theories of Physics

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Lecture 7 - McMaster Physics and Astronomy

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Study Notes Lesson 23 Atomic and Nuclear Physics

... Criteria: particles are classified according to the types of interactions they have with other particles. If the force carrier particles (such as gluons, gravitons, etc.) are excluded, all particles can be classified into two groups – hadrons and leptons. Hadron – a particle that interacts through a ...
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CHAP6

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CHAP6a

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Higgs boson and EW symmetry breaking

...  Quarks ‘ mix ’ (i.e. the quark QCD eigenstates differ from the weak states): a linear combination of down, strange and bottom quarks couple to the up quark in producing b decay.  Neutrinos have mass, mix (hence flavor species oscillate). They could have CP-violation as well. The mixing pattern is ...
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Introduction to Geometry – Study Guide



... ET = /τD . In the universal regime, we assume all the time scales to be much greater than Ehrenfest time, that is, the QD is sufficiently large to ensure the semiclassical regime. In the universal regime, we calculate the conductance at zero temperature and the noise at finite temperature. Firstly, ...
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Renormalization group



In theoretical physics, the renormalization group (RG) refers to a mathematical apparatus that allows systematic investigation of the changes of a physical system as viewed at different distance scales. In particle physics, it reflects the changes in the underlying force laws (codified in a quantum field theory) as the energy scale at which physical processes occur varies, energy/momentum and resolution distance scales being effectively conjugate under the uncertainty principle (cf. Compton wavelength).A change in scale is called a ""scale transformation"". The renormalization group is intimately related to ""scale invariance"" and ""conformal invariance"", symmetries in which a system appears the same at all scales (so-called self-similarity). (However, note that scale transformations are included in conformal transformations, in general: the latter including additional symmetry generators associated with special conformal transformations.)As the scale varies, it is as if one is changing the magnifying power of a notional microscope viewing the system. In so-called renormalizable theories, the system at one scale will generally be seen to consist of self-similar copies of itself when viewed at a smaller scale, with different parameters describing the components of the system. The components, or fundamental variables, may relate to atoms, elementary particles, atomic spins, etc. The parameters of the theory typically describe the interactions of the components. These may be variable ""couplings"" which measure the strength of various forces, or mass parameters themselves. The components themselves may appear to be composed of more of the self-same components as one goes to shorter distances.For example, in quantum electrodynamics (QED), an electron appears to be composed of electrons, positrons (anti-electrons) and photons, as one views it at higher resolution, at very short distances. The electron at such short distances has a slightly different electric charge than does the ""dressed electron"" seen at large distances, and this change, or ""running,"" in the value of the electric charge is determined by the renormalization group equation.
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