Generalized Feynman Amplitudes (eBook)

Eugene R. Speer (Autor)

eBook Download: PDF

2016
312 Seiten
Princeton University Press (Verlag)
978-1-4008-8186-4 (ISBN)

Infos

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.

Produkt-Details

• Erscheint lt. Verlag: 2.3.2016
• Reihe/Serie: Annals of Mathematics Studies
• Reihe/Serie: Annals of Mathematics Studies
• Verlagsort: Princeton
• Sprache: englisch
• Themenwelt: Mathematik / Informatik ► Mathematik ► Analysis
• Themenwelt: Naturwissenschaften ► Physik / Astronomie ► Quantenphysik
• Schlagworte: Addition • Adjoint • Amplitude • analytic continuation • analytic function • Antiparticle • Calculation • Change of variables • classical electromagnetism • C-number • 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 • scattering amplitude • scientific notation • Second Quantization • Several Complex Variables • Simple extension • S-Matrix • Special case • Subset • subtraction • Suggestion • Summation • Taylor series • tensor product • Theorem • theory • Topological space • Translational symmetry • Tree (data structure) • uniform convergence • Vacuum • Vacuum expectation value • vacuum state • Variable (mathematics) • Vector field • vector potential • Wick's theorem • Z0
• ISBN-10: 1-4008-8186-2 / 1400881862
• ISBN-13: 978-1-4008-8186-4 / 9781400881864