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Generalized Feynman Amplitudes. (AM-62), Volume 62

Eugene R. Speer

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Princeton University Press img Link Publisher

Naturwissenschaften, Medizin, Informatik, Technik / Mathematik

Beschreibung

This book contains a valuable discussion of renormalization through the addition of counterterms to the Lagrangian, giving the first complete proof of the cancellation of all divergences in an arbitrary interaction. The author also introduces a new method of renormalizing an arbitrary Feynman amplitude, a method that is simpler than previous approaches and can be used to study the renormalized perturbation series in quantum field theory.

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Schlagwörter

Formal power series, Connectivity (graph theory), Constant term, C-number, Uniform convergence, Subset, Theorem, Fermion, Theory, Differentiable function, Fourier transform, Diagram (category theory), Addition, Power series, Gauge theory, Notation, Scientific notation, Complex analysis, Mathematical induction, Monomial, Vacuum expectation value, Wick's theorem, Propagator, S-matrix, Quantity, Z0, Convolution, Estimation, Interaction picture, Renormalization, Tensor product, Vector potential, Incidence matrix, Complex number, Quadratic form, Vector field, Explicit formulae (L-function), Probability, Hilbert space, Classical electromagnetism, Antiparticle, Permutation, Amplitude, Second quantization, Invertible matrix, Parameter, Summation, Taylor series, Topological space, Distribution (mathematics), Equation, Lagrangian (field theory), Translational symmetry, Coefficient, Change of variables, Subtraction, Analytic continuation, Calculation, Polynomial, Special case, Mathematics, Multiple integral, Tree (data structure), Irreducibility (mathematics), Commutative property, Several complex variables, Analytic function, Scattering amplitude, Derivative, Fock space