Saved in:
| Main Authors: | , , , |
|---|---|
| Format: | Preprint |
| Published: |
2025
|
| Subjects: | |
| Online Access: | https://arxiv.org/abs/2512.03217 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866911299277946880 |
|---|---|
| author | Domurcukgül, Tolga Geng, Hao Nguyen, Mendel Ünsal, Mithat |
| author_facet | Domurcukgül, Tolga Geng, Hao Nguyen, Mendel Ünsal, Mithat |
| contents | We construct a generalized Yang-Mills (YM) theory with two real couplings, interpolating continuously between the Self-Dual Yang-Mills (SDYM) limit (also called Chalmers-Siegel theory) and physical Yang-Mills theory. The kinetic coupling $ε$ controls local fluctuations and anti-instanton weight, while the topological coupling $g$ controls the instanton weight. Both couplings are asymptotically free. We derive an exact all-order relation between the beta functions of the two couplings, revealing a Renormalization Group invariant, a new dimensionless expansion parameter $Λ_ε/ Λ_g$ into the study of YM theory. In the SDYM limit, the vacuum is populated by a finite density of topological defects, yet local correlators decay algebraically, consistent with a non-unitary conformal field theory. We confirm this mechanism via compactification on arbitrary size $\mathbb{R}^3 \times S^1$, where the vacuum maps to a non-interacting ideal gas of monopole-instantons. As the kinetic coupling is turned on, a mass gap and confinement scale emerge. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2512_03217 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Generalized Yang-Mills theory: Interpolating between SDYM and YM Domurcukgül, Tolga Geng, Hao Nguyen, Mendel Ünsal, Mithat High Energy Physics - Theory We construct a generalized Yang-Mills (YM) theory with two real couplings, interpolating continuously between the Self-Dual Yang-Mills (SDYM) limit (also called Chalmers-Siegel theory) and physical Yang-Mills theory. The kinetic coupling $ε$ controls local fluctuations and anti-instanton weight, while the topological coupling $g$ controls the instanton weight. Both couplings are asymptotically free. We derive an exact all-order relation between the beta functions of the two couplings, revealing a Renormalization Group invariant, a new dimensionless expansion parameter $Λ_ε/ Λ_g$ into the study of YM theory. In the SDYM limit, the vacuum is populated by a finite density of topological defects, yet local correlators decay algebraically, consistent with a non-unitary conformal field theory. We confirm this mechanism via compactification on arbitrary size $\mathbb{R}^3 \times S^1$, where the vacuum maps to a non-interacting ideal gas of monopole-instantons. As the kinetic coupling is turned on, a mass gap and confinement scale emerge. |
| title | Generalized Yang-Mills theory: Interpolating between SDYM and YM |
| topic | High Energy Physics - Theory |
| url | https://arxiv.org/abs/2512.03217 |