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Geometrical Aspects of Conformal Quantum Field Theory
Geometrical Aspects of Conformal Quantum Field Theory

... model is used to give mass to the gauge bosons of the weak interaction, it should naturally possess a mass near the weak breaking scale. It can be shown that a Higgs mass beyond ≈ 1 TeV renders the symmetry breaking inconsistent. The hierarchy problem arises when one considers corrections to this ma ...
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conditional statement
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... Math Mammoth Geometry Worksheet Collection contains geometry-related worksheets for grades 5-8. These worksheets have been pulled out from Math Mammoth Grade 5, 6, and 7 Worksheets Collections, plus two worksheets related to Pythagorean theorem that are from the Math Mammoth Algebra 1 collection. I ...
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Path integrals and the classical approximation

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New Theorem Packet - Cedarcrest High School

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"Hidden" Momentum in a Current Loop

... the magnetic dipole, assuming that the latter’s mass is much larger. Then, the final state contains net radiated momentum, whose direction is roughly along the line from the initial position of the charge to the dipole. Conservation of momentum tells us that the final state of the charge + dipole is n ...
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Linear Response in Classical Physics

... we see immediately that Brownian motion or diffusion is essentially dissipative and irreversible. The constant D here is known as the diffusion constant, which has units of square length per time. There is one more physical aspect to Brownian motion that we have neglected in this treatment so far, n ...
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Noether's theorem



Noether's (first) theorem states that every differentiable symmetry of the action of a physical system has a corresponding conservation law. The theorem was proven by German mathematician Emmy Noether in 1915 and published in 1918. The action of a physical system is the integral over time of a Lagrangian function (which may or may not be an integral over space of a Lagrangian density function), from which the system's behavior can be determined by the principle of least action.Noether's theorem has become a fundamental tool of modern theoretical physics and the calculus of variations. A generalization of the seminal formulations on constants of motion in Lagrangian and Hamiltonian mechanics (developed in 1788 and 1833, respectively), it does not apply to systems that cannot be modeled with a Lagrangian alone (e.g. systems with a Rayleigh dissipation function). In particular, dissipative systems with continuous symmetries need not have a corresponding conservation law.
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