Introduction to Supersymmetric Field Theory

ISBN-13: 9780750305068 / Angielski / Twarda / 1998 / 656 str.

I. L. Buchbinder;Kuzenko S M; S. M. Kuzenko

Opis

Offers an account of four dimensional simple supersymmetry and supergravity. This book covers algebraic aspects of supersymmetry and the concepts of superspace and superfield. It presents classical and quantum superfield theory and the superfield formulation of supergravity. It concludes with the theory of effective action in curved superspaces.

Recenzje

"The authors are among the most knowledgeable in this field…"
-Physics Today

"The student who wants to learn the subject as it is practiced by superspace afficionados will find here just about everything he/she needs … The experts will find here much useful reference material that is only accessible by hunting through journals … The book is highly recommended."
-General Relativity and Gravitation

Spis treści

Preface. Mathematical background: The Poincar^D'e group, the Lorentz group; Finite-dimensional representations of ^ISpin(3,1); The Lorentz algebra; Two-component and four-component spinors; Representations of the Poincar^D'e group; Elements of differential geometry and gravity; The conformal group; The mass-shell field representation; Elements of algebra with supernumbers; Elements of analysis with supernumbers; The supergroup of general coordinate transformations on R^Tp/q. Supersymmetry and superspace: Introduction: from R^Tp/q to supersymmetry; Superalgebras, Grassmann-shells and super Lie groups; The Poincar^D'e superalgebra; Unitary representation of the Poincar^D'e superalgebra; Real superspace R^T4/4 and superfields; Complex superspace C^T4/2, chiral superfields and covariant derivatives; The on-shell massive superfield representations; The on-shell massless superfield representations; From superfields to component fields; The superconformal group. Field theory in superspace: Supersymmetric field theory; Wess-Zumino model; Supersymmetric nonlinear sigma-models; Vector multiplet models; Supersymmetric Yang-Mills theories; Geometric approach to super Yang-Mills theories; Classically equivalent theories. Quantized superfields: Picture-change operators; Equivalence of component field and superfield perturbation theories; Effective action (super) funtional; The Wess-Zumino model: perturbative analysis; Note about gauge theories; Feynman rules for super Yang-Mills theories; Renormalization; Examples of counterterm calculations: an alternative technique; Superfield effective potential. Superspace geometry of supergravity: Gauge group of supergravity and supergravity fields; Superspace differential geometry; Supergeometry with conformal supergravity constraints; Prepotentials; Einstein supergravity; Prepotential de formations; Supercurrent and supertrace; Supergravity in components. Dynamics in supergravity: Pure supergravity dynamics; Linearized supergravity; Superg

O autorze

Sergio M. Kuzenko (University Western Australia , Crawley, Australia)