Methods of bosonic and fermionic path integrals representations : continuum random geometry in quantum field theory / Luiz C.L. Botelho.

Format:

Book

Author/Creator:

Botelho, Luiz C. L.

Language:

English

Subjects (All):

Path integrals.

Integral representations.

Probabilities.

Physical Description:

1 online resource (352 p.)

Edition:

1st ed.

Place of Publication:

Hauppauge, N.Y. : Nova Science Publishers, c2009.

Language Note:

English

Summary:

This monograph is written on topics in the subject of Continuum Quantum Geometric Path Integrals applied to Yang-Mills Theory and variants (QCD, Chern-Simons Theory, Ising Models, etc.)- the called Random Geometry in Quantum Field Theory, which are hoped to be useful to graduate students of quantum physics and applied mathematics, with a focused weight towards to those interested in applying the concepts of continuum quantum geometry in other branches of modern physics, like superconductivity, nuclear physics, polymer theory, string theory, etc.The methodology used to in this monograph is the same exposed in previous work in random classical physics: Methods of Bosonic Path Integrals Representations - Random Systems in Classical Physics - Nova Publishers, (2006) U.S.A. Expositions and formulas should be chewed, swallowed and digested. This process of analysis should not be abandoned until it yields a comprehension of the overall pattern of the proposed ideas and math, so after this step, one is ready to make improvements, corrections or criticisms on the path integrals representations of this book.

Contents:

""METHODS OF BOSONIC AND FERMIONIC PATH INTEGRALS REPRESENTATIONS: CONTINUUM RANDOM GEOMETRY IN QUANTUM FIELD THEORY""; ""Contents""; ""About This Monograph (ForewordI)""; ""Loop Space Path Integrals Representations for Euclidean Quantum Fields Path Integrals and the Covariant Path Integral""; ""1.1. Introduction""; ""1.2. The Bosonic Loop Space Formulation of the O(N)-Scalar Field Theory""; ""1.3. A Fermionic Loop Space for QCD""; ""1.4. Invariant Path Integration and the Covariant Functional Measure for Einstein Gravitation Theory""; ""References""; ""Appendix A.""; ""Appendix B.""

""8.1. Introduction""

Notes:

Description based upon print version of record.

Includes bibliographical references and index.

ISBN:

1-60741-908-4

OCLC:

430195936