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Methods of bosonic and fermionic path integrals representations : continuum random geometry in quantum field theory /

Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Botelho, Luiz C. L.
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Hauppauge, N.Y. : Nova Science Publishers, ©2009.
Temas:
Acceso en línea:Texto completo
Tabla de Contenidos:
  • 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 Loops2.1. 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 Case3.5. 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 nz4 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 TrivialityReferences; Triviality-Quantum Decoherence of Fermionic Quantum Chromodynamics SU(Nc) in the Presence of an External Strong U() Flavored Constant noise Field; 5.1. Introduction; 5.2. The Triviality-Quantum Decoherence Analysis for Quantum Chromodynamics; Appendix A.; Appendix B.; References; Fermions on the Lattice by Means of Mandelstam-Wilson Phase Factors: A Bosonic Lattice Path-Integral Framework; 6.1. Introduction; 6.2. The Framework; References.
  • A Connection between Fermionic Strings and Quantum Gravity States-A Loop Space Approach7.1. Introduction; 7.2. The Loop Space Approach for Quantum Gravity; 7.3. The Wheeler-De Witt Geometrodynamical Propagator; 7.4. A nz4 Geometrodynamical Field Theory for Quantum Gravity; Appendix A; References; A Fermionic Loop Wave Equation for Quantum Chromodynamics at Nc=+ ; 8.1. Introduction; 8.2. The Fermionic Loop Wave Equation; References; String Wave Equations in Polyakov's Path Integral Framework; 9.1. Introduction; 9.2. The Wave Equation in Covariant Particle Dynamics.