Pauli-Term-Induced Fixed Points in $d$-dimensional QED
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arXiv
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| Auteurs principaux: | , , |
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| Format: | Preprint |
| Publié: |
2022
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| _version_ | 1866916146964332544 |
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| author | Gies, Holger Tam, Kevin K. K. Ziebell, Jobst |
| author_facet | Gies, Holger Tam, Kevin K. K. Ziebell, Jobst |
| contents | We explore the fixed-point structure of QED-like theories upon the inclusion of a Pauli spin-field coupling. We concentrate on the fate of UV-stable fixed points recently discovered in $d=4$ spacetime dimensions upon generalizations to lower as well as higher dimensions for an arbitrary number of fermion flavors $N_\mathrm{f}$. As an overall trend, we observe that going away from $d=4$ dimensions and increasing the flavor number tends to destabilize the non-Gaussian fixed points discovered in four spacetime dimensions. A notable exception is a non-Gaussian fixed point at finite Pauli spin-field coupling but vanishing gauge coupling, which also remains stable down to $d=3$ dimensions and for small flavor numbers. This includes also the range of degrees of freedom used in effective theories of layered condensed-matter systems. As an application, we construct renormalization group trajectories that emanate from the non-Gaussian fixed point and approach a long-range regime in the conventional QED${}_3$ universality class that is governed by the interacting (quasi) fixed point in the gauge coupling. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2210_11927 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Pauli-Term-Induced Fixed Points in $d$-dimensional QED Gies, Holger Tam, Kevin K. K. Ziebell, Jobst High Energy Physics - Theory Strongly Correlated Electrons High Energy Physics - Phenomenology We explore the fixed-point structure of QED-like theories upon the inclusion of a Pauli spin-field coupling. We concentrate on the fate of UV-stable fixed points recently discovered in $d=4$ spacetime dimensions upon generalizations to lower as well as higher dimensions for an arbitrary number of fermion flavors $N_\mathrm{f}$. As an overall trend, we observe that going away from $d=4$ dimensions and increasing the flavor number tends to destabilize the non-Gaussian fixed points discovered in four spacetime dimensions. A notable exception is a non-Gaussian fixed point at finite Pauli spin-field coupling but vanishing gauge coupling, which also remains stable down to $d=3$ dimensions and for small flavor numbers. This includes also the range of degrees of freedom used in effective theories of layered condensed-matter systems. As an application, we construct renormalization group trajectories that emanate from the non-Gaussian fixed point and approach a long-range regime in the conventional QED${}_3$ universality class that is governed by the interacting (quasi) fixed point in the gauge coupling. |
| title | Pauli-Term-Induced Fixed Points in $d$-dimensional QED |
| topic | High Energy Physics - Theory Strongly Correlated Electrons High Energy Physics - Phenomenology |
| url | https://arxiv.org/abs/2210.11927 |