Are in-medium quark-gluon showers strongly coupled? results in the large-N f limit

Abstract Inside a medium, showers originating from a very high energy particle develop via medium-induced splitting processes such as bremsstrahlung and pair production. During shower development, two consecutive splittings sometimes overlap quantum mechanically, so that they cannot be treated indep...

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Main Authors: Peter Arnold, Omar Elgedawy, Shahin Iqbal
Format: Article
Language:English
Published: SpringerOpen 2025-01-01
Series:Journal of High Energy Physics
Subjects:
Online Access:https://doi.org/10.1007/JHEP01(2025)193
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author Peter Arnold
Omar Elgedawy
Shahin Iqbal
author_facet Peter Arnold
Omar Elgedawy
Shahin Iqbal
author_sort Peter Arnold
collection DOAJ
description Abstract Inside a medium, showers originating from a very high energy particle develop via medium-induced splitting processes such as bremsstrahlung and pair production. During shower development, two consecutive splittings sometimes overlap quantum mechanically, so that they cannot be treated independently. Some of these effects can be absorbed into an effective value of a medium parameter known as q ̂ $$ \hat{q} $$ . Previous calculations (with certain simplifying assumptions) have found that, after adjusting the value of q ̂ $$ \hat{q} $$ , the leftover effect of overlapping splittings is quite small for purely gluonic large-N c showers but is very much larger for large-N f QED showers, at comparable values of Nα. Here, by investigating the same problem for QCD with quarks in the large-N f limit of many quark flavors, we make a first study of whether the small effect in purely gluonic showers (i) was merely an accident or (ii) is more broadly characteristic of such overlap effects in QCD. We also offer a qualitative explanation for the large size of the effect in QED vs. QCD.
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spelling doaj-art-fc0733629c2b469bae05c79b9d3bb7c62025-02-09T12:07:06ZengSpringerOpenJournal of High Energy Physics1029-84792025-01-012025116810.1007/JHEP01(2025)193Are in-medium quark-gluon showers strongly coupled? results in the large-N f limitPeter Arnold0Omar Elgedawy1Shahin Iqbal2Department of Physics, University of VirginiaKey Laboratory of Atomic and Subatomic Structure and Quantum Control (MOE), Guangdong Basic Research Center of Excellence for Structure and Fundamental Interactions of Matter, Institute of Quantum Matter, South China Normal UniversityNational Centre for Physics, Quaid-i-Azam University CampusAbstract Inside a medium, showers originating from a very high energy particle develop via medium-induced splitting processes such as bremsstrahlung and pair production. During shower development, two consecutive splittings sometimes overlap quantum mechanically, so that they cannot be treated independently. Some of these effects can be absorbed into an effective value of a medium parameter known as q ̂ $$ \hat{q} $$ . Previous calculations (with certain simplifying assumptions) have found that, after adjusting the value of q ̂ $$ \hat{q} $$ , the leftover effect of overlapping splittings is quite small for purely gluonic large-N c showers but is very much larger for large-N f QED showers, at comparable values of Nα. Here, by investigating the same problem for QCD with quarks in the large-N f limit of many quark flavors, we make a first study of whether the small effect in purely gluonic showers (i) was merely an accident or (ii) is more broadly characteristic of such overlap effects in QCD. We also offer a qualitative explanation for the large size of the effect in QED vs. QCD.https://doi.org/10.1007/JHEP01(2025)193Finite Temperature or Finite DensityQuark-Gluon Plasma
spellingShingle Peter Arnold
Omar Elgedawy
Shahin Iqbal
Are in-medium quark-gluon showers strongly coupled? results in the large-N f limit
Journal of High Energy Physics
Finite Temperature or Finite Density
Quark-Gluon Plasma
title Are in-medium quark-gluon showers strongly coupled? results in the large-N f limit
title_full Are in-medium quark-gluon showers strongly coupled? results in the large-N f limit
title_fullStr Are in-medium quark-gluon showers strongly coupled? results in the large-N f limit
title_full_unstemmed Are in-medium quark-gluon showers strongly coupled? results in the large-N f limit
title_short Are in-medium quark-gluon showers strongly coupled? results in the large-N f limit
title_sort are in medium quark gluon showers strongly coupled results in the large n f limit
topic Finite Temperature or Finite Density
Quark-Gluon Plasma
url https://doi.org/10.1007/JHEP01(2025)193
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