Particle Production at High Energy: DGLAP, BFKL and Beyond
Particle production in high energy hadronic/nuclear collisions in the Bjorken limit <inline-formula> <math display="inline"> <semantics> <mrow> <msup> <mi>Q</mi> <mn>2</mn> </msup> <mo>,</mo> <msqrt> <mi>s&...
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MDPI AG
2019-02-01
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| Online Access: | https://www.mdpi.com/2218-1997/5/2/64 |
| _version_ | 1811187351644274688 |
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| author | Jamal Jalilian-Marian |
| author_facet | Jamal Jalilian-Marian |
| author_sort | Jamal Jalilian-Marian |
| collection | DOAJ |
| description | Particle production in high energy hadronic/nuclear collisions in the Bjorken limit <inline-formula> <math display="inline"> <semantics> <mrow> <msup> <mi>Q</mi> <mn>2</mn> </msup> <mo>,</mo> <msqrt> <mi>s</mi> </msqrt> <mo>→</mo> <mo>∞</mo> </mrow> </semantics> </math> </inline-formula> can be described in the collinear factorization framework of perturbative Quantum ChromoDynamics (QCD). On the other hand in the Regge limit, at fixed and not too high <inline-formula> <math display="inline"> <semantics> <msup> <mi>Q</mi> <mn>2</mn> </msup> </semantics> </math> </inline-formula> with <inline-formula> <math display="inline"> <semantics> <mrow> <msqrt> <mi>s</mi> </msqrt> <mo>→</mo> <mo>∞</mo> </mrow> </semantics> </math> </inline-formula>, a <inline-formula> <math display="inline"> <semantics> <msub> <mi>k</mi> <mo>⊥</mo> </msub> </semantics> </math> </inline-formula> factorization approach (or a generalization of it) is the appropriate framework. A new effective action approach to QCD in the Regge limit, known as the Color Glass Condensate (CGC) formalism, has been developed which allows one to investigate particle production in high energy collisions in the kinematics where collinear factorization breaks down. Here we give a brief overview of particle production in CGC framework and the evolution equation which governs energy dependence of the observables in this formalism. We show that the new evolution equation reduces to previously known evolution equations in the appropriate limits. |
| first_indexed | 2024-04-11T14:00:46Z |
| format | Article |
| id | doaj.art-b488ca7e977b42adbdc28f023db3805c |
| institution | Directory Open Access Journal |
| issn | 2218-1997 |
| language | English |
| last_indexed | 2024-04-11T14:00:46Z |
| publishDate | 2019-02-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Universe |
| spelling | doaj.art-b488ca7e977b42adbdc28f023db3805c2022-12-22T04:20:08ZengMDPI AGUniverse2218-19972019-02-01526410.3390/universe5020064universe5020064Particle Production at High Energy: DGLAP, BFKL and BeyondJamal Jalilian-Marian0Natural Sciences Department, Baruch College, New York, NY 10010, USAParticle production in high energy hadronic/nuclear collisions in the Bjorken limit <inline-formula> <math display="inline"> <semantics> <mrow> <msup> <mi>Q</mi> <mn>2</mn> </msup> <mo>,</mo> <msqrt> <mi>s</mi> </msqrt> <mo>→</mo> <mo>∞</mo> </mrow> </semantics> </math> </inline-formula> can be described in the collinear factorization framework of perturbative Quantum ChromoDynamics (QCD). On the other hand in the Regge limit, at fixed and not too high <inline-formula> <math display="inline"> <semantics> <msup> <mi>Q</mi> <mn>2</mn> </msup> </semantics> </math> </inline-formula> with <inline-formula> <math display="inline"> <semantics> <mrow> <msqrt> <mi>s</mi> </msqrt> <mo>→</mo> <mo>∞</mo> </mrow> </semantics> </math> </inline-formula>, a <inline-formula> <math display="inline"> <semantics> <msub> <mi>k</mi> <mo>⊥</mo> </msub> </semantics> </math> </inline-formula> factorization approach (or a generalization of it) is the appropriate framework. A new effective action approach to QCD in the Regge limit, known as the Color Glass Condensate (CGC) formalism, has been developed which allows one to investigate particle production in high energy collisions in the kinematics where collinear factorization breaks down. Here we give a brief overview of particle production in CGC framework and the evolution equation which governs energy dependence of the observables in this formalism. We show that the new evolution equation reduces to previously known evolution equations in the appropriate limits.https://www.mdpi.com/2218-1997/5/2/64quantum chromodynamicssmall xevolution equationsJIMWLKBFKLBJKP |
| spellingShingle | Jamal Jalilian-Marian Particle Production at High Energy: DGLAP, BFKL and Beyond Universe quantum chromodynamics small x evolution equations JIMWLK BFKL BJKP |
| title | Particle Production at High Energy: DGLAP, BFKL and Beyond |
| title_full | Particle Production at High Energy: DGLAP, BFKL and Beyond |
| title_fullStr | Particle Production at High Energy: DGLAP, BFKL and Beyond |
| title_full_unstemmed | Particle Production at High Energy: DGLAP, BFKL and Beyond |
| title_short | Particle Production at High Energy: DGLAP, BFKL and Beyond |
| title_sort | particle production at high energy dglap bfkl and beyond |
| topic | quantum chromodynamics small x evolution equations JIMWLK BFKL BJKP |
| url | https://www.mdpi.com/2218-1997/5/2/64 |
| work_keys_str_mv | AT jamaljalilianmarian particleproductionathighenergydglapbfklandbeyond |