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

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 amplit...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Speer, Eugene R. (Autor)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Princeton, NJ : Princeton University Press, [2016]
Colección:Annals of Mathematics Studies ; 62
Temas:
Mathematical physics.
Quantum field theory.
MATHEMATICS / Calculus.
Addition.
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.
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.
Acceso en línea:Texto completo
Texto completo
Tabla de Contenidos:
  • 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
  • BIBLIOGRAPHY

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