An introduction to symmetry and supersymmetry in quantum field theory / Jan Lopuszanski.

Format:

Book

Author/Creator:

Łopuszański, Jan T.

Language:

English

Subjects (All):

Quantum field theory.

Supersymmetry.

Symmetry (Physics).

Physical Description:

1 online resource (388 p.)

Place of Publication:

Singapore ; Teaneck, N.J. : World Scientific, c1991.

Language Note:

English

Summary:

This is a set of lecture notes given by the author at the Universities of Göttingen and Wroclaw. The text presents the axiomatic approach to field theory and studies in depth the concepts of symmetry and supersymmetry and their associated generators, currents and charges. It is intended as a one-semester course for graduate students in the field of mathematical physics and high energy physics.

Contents:

ACKNOWLEDGEMENTS; TABLE OF CONTENTS; Chapter 1 INTRODUCTION; 1.1. Introductory Remarks about Symmetries in Physics; 1.2. Introductory Remarks about Quantum Field Theory, in particular Axiomatic Quantum Field Theory; References and Comments to Chapter 1; Chapter 2 EXAMPLE OF A CLASSICAL AND QUANTUM SCALAR FREE FIELD THEORY; 2.1. Classical Scalar Free Field; 2.2. Quantum Scalar Free Field; References and Comments to Chapter 2; Chapter 3 SCENE AND SUBJECT OF THE DRAMA. AXIOMS 1 AND 2.; 3.1. Scene of the drama; 3.1.1. Axiom 1

3.1.2. Complete normed linear space and its application in quantum field theory3.1.3. Operators in the Hilbert space and their application in quantum field theory; 3.2. Subject of the Drama; 3.2.1. Axiom 2; 3.2.2. The space of test functions Sn; 3.2.3. The space of tempered distributions Sn*; 3.2.4. Some explanatory comments; References and Comments to Chapter 3; Chapter 4 PRINCIPLE OF RELATIVITY. CAUSALITY. AXIOMS 3, 4 AND 5.; 4.1. Basic Geometrical Transformations of the Field; 4.1.1. Axiom 3; 4.1.2. The group SL(2,C)

4.3.2. Some explanatory comments4.3.3. The Theorem on Spin and Statistics; 4.3.4. Example of a free neutral spinor field; References and Comments to Chapter 4; Chapter 5 IRREDUCIBILITY OF THE FIELD ALGEBRA AND THE SCATTERING THEORY. AXIOM 6. AXIOM 0.; 5.1. Irreducibility of the field algebra; 5.1.1. Weaker version of Axiom 6; 5.1.2. Associative, involutory, normed algebra; 5.1.3. Irreducibility and cyclicity of a vector with respect to a field algebra; 5.2. Scattering Theory; 5.2.1. General remarks concerning the scattering theory

5.2.2. Outline of the mathematical formalism of the scattering theory5.2.3. Stronger version of Axiom 6; 5.2.4. Scattering states; 5.2.5. The weaker version as a consequence of the stronger version of Axiom 6; 5.3. The S-Matrix; 5.4. Superselection Rule. Axiom 0.; References and Comments to Chapter 5; Chapter 6 PRELIMINARIES ABOUT PHYSICAL SYMMETRIES; 6.1. General Theory of Physical Symmetries; 6.1.1. Wightman functional; 6.1.2. Definition of a symmetry group; 6.1.3. Antilinear operations and PCT symmetry; 6.1.4. Relativistic geometrical symmetries

6.1.5. Borchers' classes. The global symmetries of the S-matrix.

Notes:

Description based upon print version of record.

Includes bibliographical references and index.

ISBN:

9789814368568

9814368563