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| Main Authors: | , , |
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| Format: | Preprint |
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2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2510.19134 |
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| _version_ | 1866908654112866304 |
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| author | Barroso, Helio G. Alves, Van Sérgio Nascimento, Leandro O. |
| author_facet | Barroso, Helio G. Alves, Van Sérgio Nascimento, Leandro O. |
| contents | We investigate dynamical mass generation in pseudo-Proca quantum electrodynamics (PPQED) using Schwinger--Dyson equations in rainbow-quenched and unquenched approximations. The (3+1)D gauge-field mass $m$, fine-structure constant $α$, flavor number $N$, and ultraviolet cutoff $Λ$ determine the critical thresholds for chiral symmetry breaking in the reduced (2+1)D theory. We derive $α_c(m,Λ)$ (quenched) and $N_c(m,Λ,g)$ (unquenched), with the gauge-field mass suppressing dynamical mass generation via Yukawa screening. For anisotropic fermions with Fermi velocity $v_F \neq c$, the critical coupling scales as $α^*_c \propto (1 + v_F^2/c^2)^{-1}$. These results clarify the non-perturbative dynamics of massive gauge fields in dimensionally reduced QED and connect to effective photon propagation in Proca metamaterials. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2510_19134 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Dynamical mass generation and critical behavior in pseudo-Proca quantum electrodynamics Barroso, Helio G. Alves, Van Sérgio Nascimento, Leandro O. High Energy Physics - Theory We investigate dynamical mass generation in pseudo-Proca quantum electrodynamics (PPQED) using Schwinger--Dyson equations in rainbow-quenched and unquenched approximations. The (3+1)D gauge-field mass $m$, fine-structure constant $α$, flavor number $N$, and ultraviolet cutoff $Λ$ determine the critical thresholds for chiral symmetry breaking in the reduced (2+1)D theory. We derive $α_c(m,Λ)$ (quenched) and $N_c(m,Λ,g)$ (unquenched), with the gauge-field mass suppressing dynamical mass generation via Yukawa screening. For anisotropic fermions with Fermi velocity $v_F \neq c$, the critical coupling scales as $α^*_c \propto (1 + v_F^2/c^2)^{-1}$. These results clarify the non-perturbative dynamics of massive gauge fields in dimensionally reduced QED and connect to effective photon propagation in Proca metamaterials. |
| title | Dynamical mass generation and critical behavior in pseudo-Proca quantum electrodynamics |
| topic | High Energy Physics - Theory |
| url | https://arxiv.org/abs/2510.19134 |