On the Decay of a Strong Scalar Field in QM and QFT
| Autor: | Dmitrii A. Trunin, Emil T. Akhmedov, E. N. Lanina |
|---|---|
| Rok vydání: | 2020 |
| Předmět: |
Physics
Nuclear and High Energy Physics Fermionic field Field (physics) 010308 nuclear & particles physics High Energy Physics::Lattice Yukawa potential Propagator Yukawa interaction 01 natural sciences Atomic and Molecular Physics and Optics symbols.namesake 0103 physical sciences Bosonic field symbols Perturbation theory 010306 general physics Scalar field Mathematical physics |
| Zdroj: | Physics of Atomic Nuclei. 83:1660-1661 |
| ISSN: | 1562-692X 1063-7788 |
| DOI: | 10.1134/s1063778820100129 |
| Popis: | First, the case of (0 + 1)-dimensional nonequilibrium quantum mechanics is analyzed using the Yukawa model in external scalar field $${{\phi }_{{{\text{cl}}}}}(t) = \frac{m}{{{\lambda }}} + \frac{{{\alpha }}}{{{\lambda }}}t$$ as an example. It is shown that the exact fermion propagators do not change with time, and the growth of bosonic propagators is determined by the contribution to the quantum mean of field $$\phi $$ and corresponds to the so-called “tadpole” diagrams. After that, the Yukawa theory of the interacting massive Dirac field and massless real scalar field in the (1 + 1)-dimensional Minkowski space with the signature (+1, –1) is examined. In this theory, a classical current is first calculated, and then quantum corrections for the Dirac field in an external coordinate-dependent scalar field with Yukawa interaction are determined. The response of fermion pair generation to an external bosonic field that linearly depends on the coordinate is studied. |
| Databáze: | OpenAIRE |
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