My Wish Lists Login / Join

Renormalization Group

By: Giuseppe Benfatto, Giovanni Gallavotti

Write A Review

Paperback | 30 July 1995

At a Glance

Paperback
140 Pages

Dimensions(cm)
25.4 x 19.6 x 228

Paperback

$275.75

or 4 interest-free payments of $68.94 with

Ships in 5 to 10 business days

Scaling and self-similarity ideas and methods in theoretical physics have, in the last twenty-five years, coalesced into renormalization-group methods. This book analyzes, from a single perspective, some of the most important applications: the critical-point theory in classical statistical mechanics, the scalar quantum field theories in two and three space-time dimensions, and Tomonaga''s theory of the ground state of one-dimensional Fermi systems.

The dimension dependence is discussed together with the related existence of anomalies (in Tomonaga''s theory and in 4 -e dimensions for the critical point). The theory of Bose condensation at zero temperature in three space dimensions is also considered. Attention is focused on results that can in principle be formally established from a mathematical point of view. The 4 -e dimensions theory, Bose condensation, as well as a few other statements are exceptions to this rule, because no complete treatment is yet available. However, the truly mathematical details are intentionally omitted and only referred to. This is done with the purpose of stressing the unifying conceptual structure rather than the technical differences or subtleties.

Shipping

	Standard Shipping	Express Shipping
Metro postcodes:	$9.99	$14.95
Regional postcodes:	$9.99	$14.95
Rural postcodes:	$9.99	$14.95

Orders over $79.00 qualify for free shipping.

How to return your order

At Booktopia, we offer hassle-free returns in accordance with our returns policy. If you wish to return an item, please get in touch with Booktopia Customer Care.

Additional postage charges may be applicable.

Defective items

If there is a problem with any of the items received for your order then the Booktopia Customer Care team is ready to assist you.

For more info please visit our Help Centre.

You Can Find This Book In

Non-Fiction Reference, Information & Interdisciplinary Subjects Interdisciplinary Studies General Studies Science Science in General Maths for Scientists Physics Applied Physics Cryogenics Particle & High-Energy Physics Chemical Physics

Materials & States of Matter Physics of Gases Statistical Physics

Preface	p. vii
Introduction	p. 3
Problems Equivalent to the Analysis of Suitable Functional Integrals: Critical Point and Field Theory	p. 5
Other Functional Integrals: Fermi Sphere and Bose Condensation	p. 12
Effective Potentials and Schwinger Functions	p. 19
Multiscale Decomposition of Propagators and Fields: Running Effective Potentials	p. 22
Renormalization Group: Relevant and Irrelevant Components of the Effective Potentials	p. 27
Asymptotic Freedom: Upper Critical Dimension	p. 34
Beyond the Linear Approximations: The Beta Function and Perturbation Theory	p. 38
The Beta Function as a Dynamical System: Asymptotic Freedom of Marginal Theories	p. 52
Anomalous Dimension	p. 56
The Fermi Liquid and the Luttinger Model	p. 66
The Generic Critical Point for d = 3, [gamma] = 0: The [varepsilon]-Expansion	p. 70
Bose Condensation: Reformulation	p. 75
Bose Condensation: Effective Potentials	p. 81
The Beta Function for the Bose Condensation	p. 87
A Brief Historical Note	p. 96
Bibliographical Notes	p. 100
The Free Fermion Propagator	p. 104
Grassmannian Integration	p. 106
Trees and Feynman Graphs	p. 111
Schwinger Functions and Anomalous Dimension	p. 120
Propagators for the Bose Gas	p. 124
The Beta Function for the Bose Gas	p. 126
References	p. 135
Subject Index	p. 141
Citation Index	p. 143
Table of Contents provided by Syndetics. All Rights Reserved.

Renormalization Group

At a Glance

Paperback

Shipping

How to return your order

Defective items

You Can Find This Book In

More in Applied Physics

Seven Brief Lessons on Physics

Anniversary Edition

The Body Electric

Electromagnetism and the Foundation of Life

How to Kill an Asteroid

The Real Science of Planetary Defense

Gravitational-Wave Astronomy Ogt Paperback

Exploring the Dark Side of the Universe

Harnessing Earth Observation for Coastal Engineering

Bioremediation of Emerging Contaminants

Omics and Phytotech Approaches

The Manila Clam Ruditapes Philippinarum

Science and Significance of a Globalised Species

Introduction to Photonic and Phononic Crystals and Metamaterials

Synthesis Lectures on Materials and Optics

The Breath of the Gods

The History and Future of the Wind

The Return of the God Hypothesis

Three Scientific Discoveries Revealing the Mind Behind the Universe

Introduction to Biological Physics for the Health and Life Sciences

2nd Edition

The Universe

The Book Of The BBC TV Series Presented By Professor Brian Cox

Black Holes

The key to understanding the universe

Astronomy For Dummies

Chapter Quizzes Online : 5th Edition

Stargazing for Beginners

Explore the Wonders of the Night Sky

Blue Machine

How the Ocean Shapes Our World

A Brief History Of Time

From Big Bang to Black Holes

Special Relativity and Classical Field Theory

The Theoretical Minimum, Volume 3

Failure Is Not an Option

Mission Control From Mercury to Apollo 13 and Beyond

Astrophysics for People in a Hurry

The Illustrated Brief History Of Time

the beautifully illustrated edition of Professor Stephen Hawking's bestselling masterpiece

Welcome to the Universe - An Astrophysical Tour

An Astrophysical Tour

The Physics of Climate Change

What is Real?

Unfinished Quest for the Meaning of Quantum Physics

This product is categorised by