Topological Susceptibility in the Superconductive Phases of Quantum Chromodynamics: a Dyson-Schwinger Perspective
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| Format: | Preprint |
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2025
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| author | Murgana, Fabrizio Comitini, Giorgio Ruggieri, Marco |
| author_facet | Murgana, Fabrizio Comitini, Giorgio Ruggieri, Marco |
| contents | We test non-perturbative gluon propagators recently studied in the literature, by computing the topological susceptibility, $χ$, of the superconductive phases of Quantum Chromodynamics at high density. We formulate the problem within the High-Density Effective Theory, and use the 2-particle irreducible formalism to compute the effective potential of the dense phases. We focus on superconductive phases with two and three massless flavors. Within this formalism, we write a Dyson-Schwinger equation in the rainbow approximation for the anomalous part of the quark propagator in the superconductive phases, in which the non-perturbative gluon propagator plays its role. We complete the model by adding a $U(1)_A$-breaking term whose coupling is fixed perturbatively at large quark chemical potential. We then use the effective potential to compute $χ$ in the superconductive phases. We finally discuss implications of the results for the axion mass in superdense phases of Quantum Chromodynamics. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2502_19327 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Topological Susceptibility in the Superconductive Phases of Quantum Chromodynamics: a Dyson-Schwinger Perspective Murgana, Fabrizio Comitini, Giorgio Ruggieri, Marco High Energy Physics - Phenomenology High Energy Physics - Theory Nuclear Theory We test non-perturbative gluon propagators recently studied in the literature, by computing the topological susceptibility, $χ$, of the superconductive phases of Quantum Chromodynamics at high density. We formulate the problem within the High-Density Effective Theory, and use the 2-particle irreducible formalism to compute the effective potential of the dense phases. We focus on superconductive phases with two and three massless flavors. Within this formalism, we write a Dyson-Schwinger equation in the rainbow approximation for the anomalous part of the quark propagator in the superconductive phases, in which the non-perturbative gluon propagator plays its role. We complete the model by adding a $U(1)_A$-breaking term whose coupling is fixed perturbatively at large quark chemical potential. We then use the effective potential to compute $χ$ in the superconductive phases. We finally discuss implications of the results for the axion mass in superdense phases of Quantum Chromodynamics. |
| title | Topological Susceptibility in the Superconductive Phases of Quantum Chromodynamics: a Dyson-Schwinger Perspective |
| topic | High Energy Physics - Phenomenology High Energy Physics - Theory Nuclear Theory |
| url | https://arxiv.org/abs/2502.19327 |