(Non)renormalizable noncommutativity in (non)uniform phase
2024
Преузимање 🢃
Аутори
Prekrat, DraganRanković, Dragana
Minić, Marija
Todorović-Vasović, Kristina Neli
Kováčik, Samuel
Tekel, Juraj
Конференцијски прилог (Објављена верзија)
Метаподаци
Приказ свих података о документуАпстракт
In this contribution, we review our recent numerical and analytical results on the phase structure of
the matrix version of the Grosse-Wulkenhaar model and its renormalizability. The main numerical
result is that the curvature of the model shifts the phase transition lines and eliminates the stripe
phase associated with UV/IR mixing. This is confirmed analytically in the strong interaction
regime up to 4th order in the curvature coupling. Here we further calculate the 6th order effective
action and also provide explicit expressions for some useful integrals over the unitary group with
integrands containing up to 12 unitary matrices.
Кључне речи:
noncommutative geometry / matrix models / renormalizability / phase transitions / Monte Carlo simulationsИзвор:
PoS - Proceedings of Science, Corfu Summer Institute 2023 "School and Workshops on Elementary Particle Physics and Gravity" (CORFU2023), 23 April - 6 May, and 27 August - 1 October, 2023 Corfu, Greece, 2024, 463, 269-Издавач:
- SISSA – Scuola Internazionale Superiore di Studi Avanzati
Финансирање / пројекти:
- Министарство науке, технолошког развоја и иновација Републике Србије, институционално финансирање - 200161 (Универзитет у Београду, Фармацеутски факултет) (RS-MESTD-inst-2020-200161)
- VEGA 1/0025/23 grant "Matrix models and quantum gravity"
Институција/група
PharmacyTY - CONF AU - Prekrat, Dragan AU - Ranković, Dragana AU - Minić, Marija AU - Todorović-Vasović, Kristina Neli AU - Kováčik, Samuel AU - Tekel, Juraj PY - 2024 UR - https://farfar.pharmacy.bg.ac.rs/handle/123456789/5711 AB - In this contribution, we review our recent numerical and analytical results on the phase structure of the matrix version of the Grosse-Wulkenhaar model and its renormalizability. The main numerical result is that the curvature of the model shifts the phase transition lines and eliminates the stripe phase associated with UV/IR mixing. This is confirmed analytically in the strong interaction regime up to 4th order in the curvature coupling. Here we further calculate the 6th order effective action and also provide explicit expressions for some useful integrals over the unitary group with integrands containing up to 12 unitary matrices. PB - SISSA – Scuola Internazionale Superiore di Studi Avanzati C3 - PoS - Proceedings of Science, Corfu Summer Institute 2023 "School and Workshops on Elementary Particle Physics and Gravity" (CORFU2023), 23 April - 6 May, and 27 August - 1 October, 2023 Corfu, Greece T1 - (Non)renormalizable noncommutativity in (non)uniform phase VL - 463 SP - 269 DO - 10.22323/1.463.0269 ER -
@conference{ author = "Prekrat, Dragan and Ranković, Dragana and Minić, Marija and Todorović-Vasović, Kristina Neli and Kováčik, Samuel and Tekel, Juraj", year = "2024", abstract = "In this contribution, we review our recent numerical and analytical results on the phase structure of the matrix version of the Grosse-Wulkenhaar model and its renormalizability. The main numerical result is that the curvature of the model shifts the phase transition lines and eliminates the stripe phase associated with UV/IR mixing. This is confirmed analytically in the strong interaction regime up to 4th order in the curvature coupling. Here we further calculate the 6th order effective action and also provide explicit expressions for some useful integrals over the unitary group with integrands containing up to 12 unitary matrices.", publisher = "SISSA – Scuola Internazionale Superiore di Studi Avanzati", journal = "PoS - Proceedings of Science, Corfu Summer Institute 2023 "School and Workshops on Elementary Particle Physics and Gravity" (CORFU2023), 23 April - 6 May, and 27 August - 1 October, 2023 Corfu, Greece", title = "(Non)renormalizable noncommutativity in (non)uniform phase", volume = "463", pages = "269", doi = "10.22323/1.463.0269" }
Prekrat, D., Ranković, D., Minić, M., Todorović-Vasović, K. N., Kováčik, S.,& Tekel, J.. (2024). (Non)renormalizable noncommutativity in (non)uniform phase. in PoS - Proceedings of Science, Corfu Summer Institute 2023 "School and Workshops on Elementary Particle Physics and Gravity" (CORFU2023), 23 April - 6 May, and 27 August - 1 October, 2023 Corfu, Greece SISSA – Scuola Internazionale Superiore di Studi Avanzati., 463, 269. https://doi.org/10.22323/1.463.0269
Prekrat D, Ranković D, Minić M, Todorović-Vasović KN, Kováčik S, Tekel J. (Non)renormalizable noncommutativity in (non)uniform phase. in PoS - Proceedings of Science, Corfu Summer Institute 2023 "School and Workshops on Elementary Particle Physics and Gravity" (CORFU2023), 23 April - 6 May, and 27 August - 1 October, 2023 Corfu, Greece. 2024;463:269. doi:10.22323/1.463.0269 .
Prekrat, Dragan, Ranković, Dragana, Minić, Marija, Todorović-Vasović, Kristina Neli, Kováčik, Samuel, Tekel, Juraj, "(Non)renormalizable noncommutativity in (non)uniform phase" in PoS - Proceedings of Science, Corfu Summer Institute 2023 "School and Workshops on Elementary Particle Physics and Gravity" (CORFU2023), 23 April - 6 May, and 27 August - 1 October, 2023 Corfu, Greece, 463 (2024):269, https://doi.org/10.22323/1.463.0269 . .