Introduction to Quantum Field Theory
G. Mussardo
CONTENTS
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Quantum mechanics of relativistic particles
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Violation of causality
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Necessity of Field Theory
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Classical Field Theory
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Lagrangian and Hamiltonian formulation
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Noether theorem and conserved currents
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Stress--energy tensor
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Conformal symmetry
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Poincare' group
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Generators and Commutation Relations
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Representation theory
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Elementary particles as irreducible representations
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Klein--Gordon Quantum Field Theory
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Canonical Commutation Relations
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Mode expansions
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Creation and Annihilation Operators
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Invariant functions
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Feynman propagator
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Dirac Equation
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Lorentz Covariance
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Algebra of gamma matrices and representations
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Bilinear covariants
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Solutions of the Dirac Equation
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Projection Operators for Energy and Spin
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Feynman's propagator
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Interacting Fields and Feynman Diagrams
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Perturbation theory, general considerations
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Renormalizable interactions
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Interaction representation
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T-ordering expression for the S-matrix
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Perturbation Expansion of Correlation Functions
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Wick's theorem
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Feynman diagrams
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S-matrix and cross-section
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Unitarity and cross-symmetry
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N-particle phase space, asymptotic and threshold behaviour
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