Quasi-Classical Gluon Fields and Low's Soft Theorem at Small $x$
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arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2024
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| _version_ | 1866916318029021184 |
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| author | Li, Ming |
| author_facet | Li, Ming |
| contents | In the high energy limit, soft gluons can be approximately described by quasi-classical gluon fields. It is well-known that the gluon field is a pure gauge field on the transverse plane at eikonal order. We derived the complete next-to-eikonal order solutions of the classical Yang-Mills equations for soft gluons in the dense nuclear regime. Utilizing these solutions, it is shown that Low's soft theorem at small x can be obtained by considering off-diagonal matrix elements of quasi-classical chromoelectric field between single gluon states in the dilute regime. We further propose on extending Low's soft theorem at small x to incorporate the effects of gluon saturation in the dense regime. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2402_17568 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Quasi-Classical Gluon Fields and Low's Soft Theorem at Small $x$ Li, Ming High Energy Physics - Phenomenology In the high energy limit, soft gluons can be approximately described by quasi-classical gluon fields. It is well-known that the gluon field is a pure gauge field on the transverse plane at eikonal order. We derived the complete next-to-eikonal order solutions of the classical Yang-Mills equations for soft gluons in the dense nuclear regime. Utilizing these solutions, it is shown that Low's soft theorem at small x can be obtained by considering off-diagonal matrix elements of quasi-classical chromoelectric field between single gluon states in the dilute regime. We further propose on extending Low's soft theorem at small x to incorporate the effects of gluon saturation in the dense regime. |
| title | Quasi-Classical Gluon Fields and Low's Soft Theorem at Small $x$ |
| topic | High Energy Physics - Phenomenology |
| url | https://arxiv.org/abs/2402.17568 |