Critical Properties Of Phi4- Theories - Image 1

£48.00

World Scientific Publishing Company Critical Properties Of Phi4- Theories

Name: Critical Properties Of Phi4- Theories
Brand: World Scientific Publishing Company
Price: 48.0 GBP
Availability: InStock

Higher Education

Price data last checked 34 day(s) ago - refreshing...

View at Amazon

We'll watch every seller, every day. One email when your price arrives.

This is the most expensive it has ever been. Walk away.

£48 today · previous high £48 · all-time low £42

NEW HERE?

Amazon shows you one price. We show you all of them.

Tosheroon watches Amazon prices so you don't have to. Every product on Amazon has a price history — we make it visible. Set the price you'd actually pay, and we'll email you the second it gets there. No app, no account, one email.

WHAT'S ON THIS PAGE

↓ Price chart
when this has been cheap or pricey

↓ Forecast
where the price is heading next

↓ Statistics
all-time high & low, recent range

↑ Price alert
name your number, we'll email you

Price History & Forecast

Grey patches = out of stock. Cheaper = lower on the chart. Hover for exact prices.

Last 57 days • 57 data points (No recent data available)

Historical

Generating forecast...

Price Distribution

Price distribution over 57 days • 3 price levels

Days at Price

Current Price

Price Analysis

Most common price: £42 (29 days, 50.9%)

Price range: £42 - £48

Price levels: 3 different prices over 57 days

Description

This book explains in detail how to perform perturbation expansions in quantum field theory to high orders, and how to extract the critical properties of the theory from the resulting divergent power series. These properties are calculated for various second-order phase transitions of three-dimensional systems with high accuracy, in particular the critical exponents observable in experiments close to the phase transition.Beginning with an introduction to critical phenomena, this book develops the functional-integral description of quantum field theories, their perturbation expansions, and a method for finding recursively all Feynman diagrams to any order in the coupling strength. Algebraic computer programs are supplied on accompanying World Wide Web pages. The diagrams correspond to integrals in momentum space. They are evaluated in 4-ε dimensions, where they possess pole terms in 1/ε. The pole terms are collected into renormalization constants.The theory of the renormalization group is used to find the critical scaling laws. They contain critical exponents which are obtained from the renormalization constants in the form of power series. These are divergent, due to factorially growing expansion coefficients. The evaluation requires resummation procedures, which are performed in two ways: (1) using traditional methods based on Padé and Borel transformations, combined with analytic mappings; (2) using modern variational perturbation theory, where the results follow from a simple strong-coupling formula. As a crucial test of the accuracy of the methods, the critical exponent α governing the divergence of the specific heat of superfluid helium is shown to agree very well with the extremely precise experimental number found in the space shuttle orbiting the earth (whose data are displayed on the cover of the book).The phi4-theories investigated in this book contain any number N of fields in an O(N)-symmetric interaction, or in an interaction in which O(N)-symmetry is broken by a term of a cubic symmetry. The crossover behavior between the different symmetries is investigated. In addition, alternative ways of obtaining critical exponents of phi4-theories are sketched, such as variational perturbation expansions in three rather than 4-ε dimensions, and improved ratio tests in high-temperature expansions of lattice models.

Product Specifications

Brand: World Scientific Publishing Company
Format: paperback
ASIN: 9810246595
Category: Books > Subjects > Science, Nature & Maths > Mathematics > Education > Higher Education
Domain: Amazon UK
Release Date: 01 August 2001
Listed Since: 06 January 2007

Barcode

No barcode data available

World Scientific Publishing Company Critical Properties Of Phi4- Theories

This is the most expensive it has ever been. Walk away.

Price History & Forecast

Price Distribution

Price Analysis

Description

Product Specifications

Barcode

Similar Products You Might Like

Interplay of Quantum and Statistical Fluctuations in Critical Quantum Matter (Springer Theses)

Dynamics Near Quantum Criticality in Two Space Dimensions (Springer Theses)

Self-consistent Quantum-Field Theory and Bosonization for Strongly Correlated Electron Systems: 56 (Lecture Notes in Physics Monographs, 56)

Thermal Quantum Field Theory and Perturbative Non-Equilibrium Dynamics (Springer Theses)

Mathematical Aspects of Quantum Field Theories (Mathematical Physics Studies)

Perturbative Quantum Electrodynamics and Axiomatic Field Theory (Theoretical and Mathematical Physics)

Points, Lines, and Surfaces at Criticality (Springer Theses)

Renormalization Group (Physics Notes): 1

Perturbative Quantum Electrodynamics and Axiomatic Field Theory (Theoretical and Mathematical Physics)

Nonabelian Quantized Field Theories: Subtleties, Anomalies And Necessary Existence Of Regions Accessible/non-accessible To Renormalized Perturbation Expansions

Critical Phenomena in Loop Models (Springer Theses)

Path Integrals and Quantum Anomalies (International Series of Monographs on Physics): 122

Effective Field Theories

Problems in Quantum Field Theory: With Fully-Worked Solutions

Perturbative and Non-perturbative Approaches to String Sigma-Models in AdS/CFT (Springer Theses)

Modern Quantum Field Theory: A Concise Introduction

Tensorial Methods and Renormalization in Group Field Theories (Springer Theses)

Relativistic Microscopic Quantum Transport Equation

Quantum Gravitation: The Feynman Path Integral Approach

Quantum Phase Transitions

Theory of Heavy-Fermion Compounds: Theory of Strongly Correlated Fermi-Systems: 182 (Springer Series in Solid-State Sciences, 182)

A Course in Theoretical Physics: Central Concepts, Laws and Results, with Full Mathematical Derivations, in: Quantum Machanics, Thermal And ... Quantum Mechanics, Gauge Theories in

Chiral Four-Dimensional Heterotic String Vacua from Covariant Lattices (Springer Theses)

Methods of Statistical Physics