Hamiltonian models of interacting fermion fields in quantum field theory
| Autor: | Jérémy Faupin, Benjamin Alvarez, Jean-Claude Guillot |
|---|---|
| Přispěvatelé: | Institut Élie Cartan de Lorraine (IECL), Université de Lorraine (UL)-Centre National de la Recherche Scientifique (CNRS), Centre de Mathématiques Appliquées - Ecole Polytechnique (CMAP), École polytechnique (X)-Centre National de la Recherche Scientifique (CNRS) |
| Rok vydání: | 2019 |
| Předmět: |
Ground state
[PHYS.MPHY]Physics [physics]/Mathematical Physics [math-ph] FOS: Physical sciences Position and momentum space fermion: interaction Weak interaction 01 natural sciences Fock space Mathematics - Spectral Theory fermion: field theory symbols.namesake weak interaction 0103 physical sciences FOS: Mathematics 0101 mathematics Quantum field theory Weak interactions Spectral Theory (math.SP) Mathematical Physics Mathematical physics form factor Physics Hamiltonian formalism 010102 general mathematics Statistical and Nonlinear Physics Mathematical Physics (math-ph) Fermion $N_\tau $ estimates Tensor product field theory: interaction symbols 010307 mathematical physics Hamiltonian (quantum mechanics) |
| Zdroj: | Lett.Math.Phys. Lett.Math.Phys., 2019, 109 (11), pp.2403-2437. ⟨10.1007/s11005-019-01193-9⟩ |
| ISSN: | 1573-0530 0377-9017 |
| DOI: | 10.1007/s11005-019-01193-9 |
| Popis: | We consider hamiltonian models representing an arbitrary number of spin $1/2$ fermion quantum fields interacting through arbitrary processes of creation or annihilation of particles. The fields may be massive or massless. The interaction form factors are supposed to satisfy some regularity conditions in both position and momentum space. Without any restriction on the strength of the interaction, we prove that the Hamiltonian identifies to a self-adjoint operator on a tensor product of anti-symmetric Fock spaces and we establish the existence of a ground state. Our results rely on new interpolated $N_\tau$ estimates. They apply to models arising from the Fermi theory of weak interactions, with ultraviolet and spatial cut-offs. Comment: 26 pages |
| Databáze: | OpenAIRE |
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