Saved in:
| Main Author: | |
|---|---|
| Format: | Recurso digital |
| Language: | |
| Published: |
Zenodo
2025
|
| Online Access: | https://doi.org/10.5281/zenodo.17107514 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866902151709589504 |
|---|---|
| author | Arneth, Borros |
| author_facet | Arneth, Borros |
| contents | <p><span lang="EN-US">We investigate a formal correspondence between QCD path integrals and projective partition functions in a Diagram Hilbert Space framework. In the real-space formulation of QCD, oscillatory path integrals over quark and gluon fields are divergent, rendering direct computation intractable. By complexifying the integration domain and performing an imaginary-space projection, these integrals become convergent and mathematically controllable, while retaining full physical content. In parallel, we consider a partition function defined as a product over projective operators acting in a Diagram Hilbert Space, which naturally selects stable eigenstates corresponding to particle masses. We demonstrate that, despite the different formal appearances, both structures are isomorphic at their core: mass generation emerges universally as a consequence of projective summation over fundamental excitations. This equivalence provides a unified perspective on particle mass emergence and offers a framework bridging QCD semiclassical expansions with topological Hilbert-space constructions.</span></p> |
| format | Recurso digital |
| id | zenodo_https___doi_org_10_5281_zenodo_17107514 |
| institution | Zenodo |
| language | |
| publishDate | 2025 |
| publisher | Zenodo |
| record_format | zenodo |
| spellingShingle | Projective Partition Functions and the Emergence of Particle Masses: From QCD Path Integrals to Diagram Hilbert Space Arneth, Borros <p><span lang="EN-US">We investigate a formal correspondence between QCD path integrals and projective partition functions in a Diagram Hilbert Space framework. In the real-space formulation of QCD, oscillatory path integrals over quark and gluon fields are divergent, rendering direct computation intractable. By complexifying the integration domain and performing an imaginary-space projection, these integrals become convergent and mathematically controllable, while retaining full physical content. In parallel, we consider a partition function defined as a product over projective operators acting in a Diagram Hilbert Space, which naturally selects stable eigenstates corresponding to particle masses. We demonstrate that, despite the different formal appearances, both structures are isomorphic at their core: mass generation emerges universally as a consequence of projective summation over fundamental excitations. This equivalence provides a unified perspective on particle mass emergence and offers a framework bridging QCD semiclassical expansions with topological Hilbert-space constructions.</span></p> |
| title | Projective Partition Functions and the Emergence of Particle Masses: From QCD Path Integrals to Diagram Hilbert Space |
| url | https://doi.org/10.5281/zenodo.17107514 |