05136nam 22015255 450 991015475240332120190708092533.01-4008-8186-210.1515/9781400881864(CKB)3710000000620147(MiAaPQ)EBC4738603(DE-B1597)467912(OCoLC)979580914(DE-B1597)9781400881864(EXLCZ)99371000000062014720190708d2016 fg engurcnu||||||||rdacontentrdamediardacarrierGeneralized Feynman Amplitudes. (AM-62), Volume 62 /Eugene R. SpeerPrinceton, NJ : Princeton University Press, [2016]©19691 online resource (233 pages)Annals of Mathematics Studies ;2500-691-08066-6 Includes bibliographical references.Frontmatter -- Acknowledgements -- Abstract -- tables of contents -- Introductions -- CHAPTER I. Renormalization in Lagrangian Field Theory -- CHAPTER II. Definition of Generalized Amplitudes -- CHAPTER III. Analytic Renormalization -- CHAPTER IV. Summation of Feynman Amplitudes -- CONCLUSION -- APPENDIX A. Graphs -- APPENDIX B. Distributions -- APPENDIX C. The Free Field -- BIBLIOGRAPHYThis 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.Annals of mathematics studies ;Number 62.Mathematical physicsQuantum field theoryAddition.Adjoint.Amplitude.Analytic continuation.Analytic function.Antiparticle.C-number.Calculation.Change of variables.Classical electromagnetism.Coefficient.Commutative property.Compact space.Complex analysis.Complex number.Connectivity (graph theory).Constant term.Convolution.Derivative.Diagram (category theory).Differentiable function.Distribution (mathematics).Equation.Estimation.Explicit formulae (L-function).Fermion.Fock space.Formal power series.Fourier transform.Free field.Gauge theory.Graph theory.Hilbert space.Incidence matrix.Interaction picture.Invertible matrix.Irreducibility (mathematics).Isolated singularity.Lagrangian (field theory).Laurent series.Mathematical induction.Mathematics.Momentum.Monomial.Multiple integral.National Science Foundation.Notation.Parameter.Path integral formulation.Permutation.Polynomial.Power series.Probability.Propagator.Quadratic form.Quantity.Quantum field theory.Remainder.Renormalization.Requirement.S-matrix.Scattering amplitude.Scientific notation.Second quantization.Several complex variables.Simple extension.Special case.Subset.Subtraction.Suggestion.Summation.Taylor series.Tensor product.Theorem.Theory.Topological space.Translational symmetry.Tree (data structure).Uniform convergence.Vacuum expectation value.Vacuum state.Vacuum.Variable (mathematics).Vector field.Vector potential.Wick's theorem.Z0.Mathematical physics.Quantum field theory.530.14/3Speer Eugene R., 50692DE-B1597DE-B1597BOOK9910154752403321Generalized Feynman Amplitudes. (AM-62), Volume 622786627UNINA