A Functional Integral Point of View
Buch, Englisch, 535 Seiten, Format (B × H): 155 mm x 235 mm, Gewicht: 838 g
ISBN: 978-0-387-96477-5
Verlag: Springer US
Describes fifteen years' work which has led to the construc-
tion of solutions to non-linear relativistic local field e-
quations in 2 and 3 space-time dimensions. Gives proof of
the existence theorem in 2 dimensions and describes many
properties of the solutions.
Zielgruppe
Professional/practitioner
Autoren/Hrsg.
Weitere Infos & Material
I An Introduction to Modern Physics.- 1 Quantum Theory.- 2 Classical Statistical Mechanics.- 3 The Feynman-Kac Formula.- 4 Correlation Inequalities and the Lee-Yang Theorem.- 5 Phase Transitions and Critical Points.- 6 Field Theory.- Appendix to Part I. Hilbert Space Operators and Functional Integrals.- II Function Space Integrals.- 7 Covariance Operator = Green’s Function = Resolvent Kernel = Euclidean Propagator = Fundamental Solution.- 8 Quantization = Integration over Function Space.- 9 Calculus and Renormalization on Function Space.- 10 Estimates Independent of Dimension.- 11 Fields Without Cutoffs.- 12 Regularity and Axioms.- III The Physics of Quantum Fields.- 13 Scattering Theory: Time-Dependent Methods.- 14 Scattering Theory: Time-Independent Methods.- 15 The Magnetic Moment of the Electron.- 16 Phase Transitions.- 17 The ?4 Critical Point.- 18 The Cluster Expansion.- 19 From Path Integrals to Quantum Mechanics.- 20 The Polymer Expansion.- 21 Random Path Representations.- 22 Constructive Gauge Theory and Phase Cell Localization.- 23 Further Directions.
