{"title":"具有 q^(t)∼tn 的介质中硬胶子的演化和热化问题","authors":"Felipe Gregoletto Ben, Magno V. T. Machado","doi":"10.1002/asna.20230186","DOIUrl":null,"url":null,"abstract":"<p>We study the energy distribution of hard gluons traversing a dense quark-gluon plasma by comparing various transverse momentum broadening rates <math>\n <semantics>\n <mrow>\n <mover>\n <mi>q</mi>\n <mo>^</mo>\n </mover>\n <mrow>\n <mo>(</mo>\n <mi>t</mi>\n <mo>)</mo>\n </mrow>\n </mrow>\n <annotation>$$ \\hat{q}(t) $$</annotation>\n </semantics></math>, using a probabilistic perturbative approach. These results were applied to address the thermalization problem in heavy ion collisions. Within the weak coupling model, thermalization follows a “bottom-up” process: early-formed high-energy partons emit low-energy gluons, leading to their equilibrium formation, creating a thermal bath that facilitates equilibrium in the high-energy sector. Under this scenario, we model the time dependencies of <math>\n <semantics>\n <mrow>\n <mover>\n <mi>q</mi>\n <mo>^</mo>\n </mover>\n <mrow>\n <mo>(</mo>\n <mi>t</mi>\n <mo>)</mo>\n </mrow>\n </mrow>\n <annotation>$$ \\hat{q}(t) $$</annotation>\n </semantics></math> as a power-law <math>\n <semantics>\n <mrow>\n <mover>\n <mi>q</mi>\n <mo>^</mo>\n </mover>\n <mrow>\n <mo>(</mo>\n <mi>t</mi>\n <mo>)</mo>\n </mrow>\n <mo>∼</mo>\n <msup>\n <mi>t</mi>\n <mi>n</mi>\n </msup>\n </mrow>\n <annotation>$$ \\hat{q}(t)\\sim {t}^n $$</annotation>\n </semantics></math>, and assess the impact of <math>\n <semantics>\n <mrow>\n <mi>n</mi>\n </mrow>\n <annotation>$$ n $$</annotation>\n </semantics></math> on the distribution of hard gluons passing through the medium.</p>","PeriodicalId":55442,"journal":{"name":"Astronomische Nachrichten","volume":"345 2-3","pages":""},"PeriodicalIF":1.1000,"publicationDate":"2024-01-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Evolution of hard gluons in a medium with \\n \\n \\n q\\n ^\\n \\n \\n (\\n t\\n )\\n \\n ∼\\n \\n t\\n n\\n \\n and the thermalization problem\",\"authors\":\"Felipe Gregoletto Ben, Magno V. T. Machado\",\"doi\":\"10.1002/asna.20230186\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<p>We study the energy distribution of hard gluons traversing a dense quark-gluon plasma by comparing various transverse momentum broadening rates <math>\\n <semantics>\\n <mrow>\\n <mover>\\n <mi>q</mi>\\n <mo>^</mo>\\n </mover>\\n <mrow>\\n <mo>(</mo>\\n <mi>t</mi>\\n <mo>)</mo>\\n </mrow>\\n </mrow>\\n <annotation>$$ \\\\hat{q}(t) $$</annotation>\\n </semantics></math>, using a probabilistic perturbative approach. These results were applied to address the thermalization problem in heavy ion collisions. Within the weak coupling model, thermalization follows a “bottom-up” process: early-formed high-energy partons emit low-energy gluons, leading to their equilibrium formation, creating a thermal bath that facilitates equilibrium in the high-energy sector. Under this scenario, we model the time dependencies of <math>\\n <semantics>\\n <mrow>\\n <mover>\\n <mi>q</mi>\\n <mo>^</mo>\\n </mover>\\n <mrow>\\n <mo>(</mo>\\n <mi>t</mi>\\n <mo>)</mo>\\n </mrow>\\n </mrow>\\n <annotation>$$ \\\\hat{q}(t) $$</annotation>\\n </semantics></math> as a power-law <math>\\n <semantics>\\n <mrow>\\n <mover>\\n <mi>q</mi>\\n <mo>^</mo>\\n </mover>\\n <mrow>\\n <mo>(</mo>\\n <mi>t</mi>\\n <mo>)</mo>\\n </mrow>\\n <mo>∼</mo>\\n <msup>\\n <mi>t</mi>\\n <mi>n</mi>\\n </msup>\\n </mrow>\\n <annotation>$$ \\\\hat{q}(t)\\\\sim {t}^n $$</annotation>\\n </semantics></math>, and assess the impact of <math>\\n <semantics>\\n <mrow>\\n <mi>n</mi>\\n </mrow>\\n <annotation>$$ n $$</annotation>\\n </semantics></math> on the distribution of hard gluons passing through the medium.</p>\",\"PeriodicalId\":55442,\"journal\":{\"name\":\"Astronomische Nachrichten\",\"volume\":\"345 2-3\",\"pages\":\"\"},\"PeriodicalIF\":1.1000,\"publicationDate\":\"2024-01-10\",\"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.20230186\",\"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}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Astronomische Nachrichten","FirstCategoryId":"101","ListUrlMain":"https://onlinelibrary.wiley.com/doi/10.1002/asna.20230186","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}
Evolution of hard gluons in a medium with
q
^
(
t
)
∼
t
n
and the thermalization problem
We study the energy distribution of hard gluons traversing a dense quark-gluon plasma by comparing various transverse momentum broadening rates , using a probabilistic perturbative approach. These results were applied to address the thermalization problem in heavy ion collisions. Within the weak coupling model, thermalization follows a “bottom-up” process: early-formed high-energy partons emit low-energy gluons, leading to their equilibrium formation, creating a thermal bath that facilitates equilibrium in the high-energy sector. Under this scenario, we model the time dependencies of as a power-law , and assess the impact of on the distribution of hard gluons passing through the medium.
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.