Fermionic functional integrals and the renormalization group / Joel Feldman, Horst Knörrer, Eugene Trubowitz.

Format:

Book

Author/Creator:

Feldman, Joel S., 1949-

Contributor:

Knörrer, Horst.

Trubowitz, Eugene.

Series:

CRM monograph series 1065-8599 ; v. 16.

CRM monograph series, 1065-8599 ; v. 16

Language:

English

Subjects (All):

Integration, Functional.

Renormalization group.

Mathematical physics.

Physical Description:

vii, 115 pages : illustrations ; 27 cm.

Place of Publication:

Providence, R.I. : American Mathematical Society, [2002]

Contents:

Chapter 1. Fermionic Functional Integrals 1

1.1. Grassmann Algebras 1

1.2. Grassmann Integrals 5

1.3. Differentiation and Integration by Parts 8

1.4. Grassmann Gaussian Integrals 11

1.5. Grassmann Integrals and Fermionic Quantum Field Theories 14

1.6. The Renormalization Group 18

1.7. Wick Ordering 22

1.8. Bounds on Grassmann Gaussian Integrals 25

Chapter 2. Fermionic Expansions 31

2.2. The Expansion

Algebra 33

2.3. The Expansion

Bounds 34

2.4. Sample Applications 44

Appendix A. Infinite-Dimensional Grassmann Algebras 59

Appendix B. Pfaffians 67

Appendix C. Propagator Bounds 73

Appendix D. Problem Solutions 79

Chapter 1. Fermionic Functional Integrals 79

Chapter 2. Fermionic Expansions 96

Appendix A. Infinite-Dimensional Grassmann Algebras 106

Appendix B. Pfaffians 111

Appendix C. Propagator Bounds 113.

Notes:

Includes bibliographical references (page 115).

ISBN:

0821828789

OCLC:

49493166