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Lecture4.Lagrangians.and.Fields

Lecture4.Lagrangians.and.Fields - Standard Hamiltonian H=E...

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Standard Model Requires Treatment of Particles as Fields Hamiltonian, H=E, not Lorentz invariant. QM not a relativistic theory. Lagrangian, T V, used in particle physics. Lagrangian, T V, used in particle physics. Creation and annihilation must be described. R l ti i ti Q t Fi ld th ! Relativistic Quantum Field theory!
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Energy is not an invariant: d f consider four vector momentum
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4 momentum transformation 4 momentum transformation
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p = mv p mv
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4 vector dot product: μ=0 1 2 3 p μ p μ μ=0,1,2,3 Covariant components
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Motivation for Lagrangians and the f Law of Least Action
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The Euler Lagrange Equations give F = ma
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Lagrangians are used in Field Theory
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