Cart
Free US shipping over $10
Proud to be B-Corp

Renormalization Manfred Salmhofer

Renormalization By Manfred Salmhofer

Renormalization by Manfred Salmhofer


$104.49
Condition - New
Only 2 left

Summary

This monograph is the first to present the recently discovered renormalization techniques for the Schroedinger and Dirac equations, providing a mathematically rigorous, yet simple and clear introduction to the subject.

Renormalization Summary

Renormalization: An Introduction by Manfred Salmhofer

This monograph is the first to present the recently discovered renormalization techniques for the Schroedinger and Dirac equations, providing a mathematically rigorous, yet simple and clear introduction to the subject. It develops field-theoretic techniques such as Feynman graph expansions and renormalization, taking pains to make all proofs as simple as possible by using generating function techniques throughout. Renormalization is performed by using an exact renormalization group differential equation, a technique that provides simple but complete proofs of the theorems.

Renormalization Reviews

From the reviews
In summary, this is an excellent reference text for anyone interested in the mathematical formulation of renormalization and quantum field theory and should be seriously considered as an addition to a professional or university library. (A.G. Williams, The Physicist, 1999)

This book concentrates very much on the technical matters one has to be aware of in order to perform an actual calculation, and explains all elementary steps of the method. In spite of that, the author also finds the opportunity to clarify the physical situation behind. He also points out the similarities and connections that exist between different branches of theoretical physics like statistical mechanics of polymers, critical phenomena, and field theories, where renormalization methods are usually applied. (M. Benedict, Acta Scientiarum Mathematicarum, 2000)

Table of Contents

1. Field Theory.- 2. Techniques.- 3. The Renormalization Group.- 4. The Fermi Surface Problem.- A. Appendix to Chapters 1-3.- A.1 A Topology on the Ring of Formal Power Series.- A.2 Fourier Transformation.- A.3 Properties of the Boson Propagator.- A.4 Wick Reordering for Bosons.- A.5 The Lower Bound for the Sunset Graph.- B. Appendix to Chapter 4.- B.1 Fermionic Fock Space.- B.2 Calculus on Grassmann Algebras.- B.3 Grassmann Gaussian Integrals.- B.4 Gram's Inequality; Bounds for Gaussian Integrals.- B.5 Grassmann Integrals for Fock Space Traces.- B.5.1 Delta Functions and Integral Kernels.- B.5.2 The Formula for the Trace.- B.5.3 The Time Continuum Limit.- B.5.4 Nambu Formalism.- B.5.5 Matsubara Frequencies.- B.6 Feynman Graph Expansions.- B.7 The Thermodynamic Limit in Perturbation Theory.- B.8 Volume Improvement Bounds.- B.8.1 The One-Loop Volume Bound.- B.8.2 The Two-Loop Volume Bound.- References.

Additional information

NPB9783540646662
9783540646662
3540646663
Renormalization: An Introduction by Manfred Salmhofer
New
Hardback
Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
2007-09-11
231
N/A
Book picture is for illustrative purposes only, actual binding, cover or edition may vary.
This is a new book - be the first to read this copy. With untouched pages and a perfect binding, your brand new copy is ready to be opened for the first time

Customer Reviews - Renormalization