Large quark mass Euler-Heisenberg type action for QCD with quark sources and its Abelian limit
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arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
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2024
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| _version_ | 1866918133104640000 |
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| author | Froldi, Igor de M. Braghin, Fabio L. |
| author_facet | Froldi, Igor de M. Braghin, Fabio L. |
| contents | The quark determinant in the presence of a background gluon field is calculated in a large quark mass approach within a derivative expansion by considering quark sources. The resulting low-energy QCD Effective Field Theory (EFT) is valid for non-homogeneous fields and it presents, besides the usual Euler-Heisenberg type gluon self-interactions, different types of corrections to the minimal quark-gluon interaction among which there are several imaginary terms. The Abelian limit of this effective action, i.e. an expanded Euler-Heisenberg effective action with fermion sources, is also found and it is shown to contain, therefore, corrections to the fermion-photon interactions, including imaginary terms. Different resulting properties are calculated such as: their contributions to the energy-momentum tensor and its trace, the Poynting vector, the chromo-electric permittivity and chromo-magnetic permeability. Conditions for these quantities, as well as for the corresponding Abelian limits, to be real are exhibited. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2406_19918 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Large quark mass Euler-Heisenberg type action for QCD with quark sources and its Abelian limit Froldi, Igor de M. Braghin, Fabio L. High Energy Physics - Phenomenology High Energy Physics - Theory The quark determinant in the presence of a background gluon field is calculated in a large quark mass approach within a derivative expansion by considering quark sources. The resulting low-energy QCD Effective Field Theory (EFT) is valid for non-homogeneous fields and it presents, besides the usual Euler-Heisenberg type gluon self-interactions, different types of corrections to the minimal quark-gluon interaction among which there are several imaginary terms. The Abelian limit of this effective action, i.e. an expanded Euler-Heisenberg effective action with fermion sources, is also found and it is shown to contain, therefore, corrections to the fermion-photon interactions, including imaginary terms. Different resulting properties are calculated such as: their contributions to the energy-momentum tensor and its trace, the Poynting vector, the chromo-electric permittivity and chromo-magnetic permeability. Conditions for these quantities, as well as for the corresponding Abelian limits, to be real are exhibited. |
| title | Large quark mass Euler-Heisenberg type action for QCD with quark sources and its Abelian limit |
| topic | High Energy Physics - Phenomenology High Energy Physics - Theory |
| url | https://arxiv.org/abs/2406.19918 |