{"title":"Investigating the partonic entanglement entropy at low Bjorken-x within Gluon saturation approach","authors":"Gabriel Silveira Ramos, Magno V. T. Machado","doi":"10.1002/asna.20230173","DOIUrl":null,"url":null,"abstract":"<p>In this work, the entanglement entropy is examined within the context of deep inelastic scattering in <span></span><math>\n <semantics>\n <mrow>\n <mi>e</mi>\n <mi>p</mi>\n </mrow>\n <annotation>$$ ep $$</annotation>\n </semantics></math> collisions. The calculation is based on a formalism where the partonic state at small-<span></span><math>\n <semantics>\n <mrow>\n <mi>x</mi>\n </mrow>\n <annotation>$$ x $$</annotation>\n </semantics></math> is maximally entangled, consisting of a large number of micro-states occurring with equal probabilities. Analytical expressions for the number of gluons, <span></span><math>\n <semantics>\n <mrow>\n <msub>\n <mrow>\n <mi>N</mi>\n </mrow>\n <mrow>\n <mtext>gluon</mtext>\n </mrow>\n </msub>\n </mrow>\n <annotation>$$ {N}_{\\mathrm{gluon}} $$</annotation>\n </semantics></math>, are considered, derived from gluon saturation models for dipole-target amplitudes within the framework of the Quantum Chromodynamics (QCD) color dipole picture. A comparison of the entanglement entropy with thermodynamic entropy measured in <span></span><math>\n <semantics>\n <mrow>\n <mi>p</mi>\n <mi>p</mi>\n </mrow>\n <annotation>$$ pp $$</annotation>\n </semantics></math> and <span></span><math>\n <semantics>\n <mrow>\n <mi>e</mi>\n <mi>p</mi>\n </mrow>\n <annotation>$$ ep $$</annotation>\n </semantics></math> collisions at high energies is done.</p>","PeriodicalId":55442,"journal":{"name":"Astronomische Nachrichten","volume":"345 2-3","pages":""},"PeriodicalIF":1.1000,"publicationDate":"2024-01-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Astronomische Nachrichten","FirstCategoryId":"101","ListUrlMain":"https://onlinelibrary.wiley.com/doi/10.1002/asna.20230173","RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"ASTRONOMY & ASTROPHYSICS","Score":null,"Total":0}
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Abstract
In this work, the entanglement entropy is examined within the context of deep inelastic scattering in collisions. The calculation is based on a formalism where the partonic state at small- is maximally entangled, consisting of a large number of micro-states occurring with equal probabilities. Analytical expressions for the number of gluons, , are considered, derived from gluon saturation models for dipole-target amplitudes within the framework of the Quantum Chromodynamics (QCD) color dipole picture. A comparison of the entanglement entropy with thermodynamic entropy measured in and collisions at high energies is done.
期刊介绍：
Astronomische Nachrichten, founded in 1821 by H. C. Schumacher, is the oldest astronomical journal worldwide still being published. Famous astronomical discoveries and important papers on astronomy and astrophysics published in more than 300 volumes of the journal give an outstanding representation of the progress of astronomical research over the last 180 years. Today, Astronomical Notes/ Astronomische Nachrichten publishes articles in the field of observational and theoretical astrophysics and related topics in solar-system and solar physics. Additional, papers on astronomical instrumentation ground-based and space-based as well as papers about numerical astrophysical techniques and supercomputer modelling are covered. Papers can be completed by short video sequences in the electronic version. Astronomical Notes/ Astronomische Nachrichten also publishes special issues of meeting proceedings.
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