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This work delves into advanced concepts in quantum field theory, beginning with the Spinorfield Model, which covers regularization, Lagrange formalism, and canonical quantization. It explores covariant quantum field dynamics, including the construction of functional states, symmetries, and nonperturbative normal ordering. The algebraic Schrödinger representation is examined, focusing on indefinite state spaces, probability interpretations, and cyclic basis vector representations. The text further investigates weak mapping theorems, addressing hard core states, self-consistent propagators, and effective boson dynamics, alongside bound state calculations for vector boson and fermion states. It also discusses effective Yang-Mills dynamics, highlighting boson-fermion interactions and quantum properties of mapped fields. Additionally, the relationship between fermions and gravitation is analyzed, including spinor connections and graviton states. Weak mapping in gauge fields is covered, particularly in spinor electrodynamics and nonabelian quantum fields. The exploration of superconductivity and Higgs fields includes self-consistent states and the Ginzburg-Landau equation. Finally, the work addresses path integrals and effective theories, focusing on functional perturbation theory, hadronization of QCD, and composite particles, concluding with Fock space mappings and their implications for effective dynamics.
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Composite particle dynamics in quantum field theory, Harald Stumpf
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- 1994
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