Methods of bosonic and fermionic path integrals representations - Info and Reading Options

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Intro -- 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. -- Appendix C. -- Appendix D. -- Appendix E. -- Path Integrals Evaluations in Bosonic Random Loop Geometry-Abelian Wilson Loops -- 2.1. Introduction -- 2.2. Abelian Wilson Loop Interaction at Finite Temperature -- 2.3. The Static Confining Potential for Q.C.D. in the Mandel-stam Model through Path Integrals -- Path-Integrals on Quantum Magnetic Monopoles -- References -- The Triviality-Quantum Decoherence of Quantum Chromodynamics SU(∞) in the Presence of an External Strong White-Noise Eletromagnetic Field -- 3.1. Introduction -- 3.2. The Triviality-Quantum Decoherence Analysis -- 3.3. Random Surface Dynamical Factor in the Analytical Regularization Scheme -- 3.4. The Non-relativistic Case -- 3.5. The Static Confining Potential in a Tensor Axion Model -- 3.6. The Confining Potential on the Axion-String Model in the Axion Higher-Energy Region -- 3.7.A λφ4 String Field Theory as a Dynamics of Self Avoiding Random Surfaces -- Appendix A. -- Appendix B. -- References -- The Confining Behaviour and Asymptotic Freedom for QCD(SU(∞))- A Constant Gauge Field Path Integral Analysis -- 4.1. Introduction -- 4.2. The Model and Its Confining Behavior -- 4.3. The Path-Integral Triviality Argument for the Thirring Model at SU(∞) -- 4.4. The Loop Space Argument for the Thirring Model Triviality

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