Explicit construction of the energy-momentum tensor in the large N limit
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arXiv
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866912842288988160 |
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| author | Pagani, Carlo Sonoda, Hidenori |
| author_facet | Pagani, Carlo Sonoda, Hidenori |
| contents | We construct the energy-momentum tensor of the O(N) linear sigma model explicitly in the large N limit using the exact renormalization group (ERG) formalism. The energy-momentum tensor is obtained as a cutoff dependent functional of N scalar field variables. Our guiding principles behind the construction are twofold: first the energy-momentum tensor must satisfy the Ward identity for translation and rotation invariance, and second the energy-momentum tensor must satisfy a variant of the exact renormalization group equation. In the limit that the momentum cutoff goes to zero, our energy-momentum tensor gives the one-particle irreducible (1PI) effective action with the insertion of a single energy-momentum tensor operator. We verify that the energy-momentum tensor constructed satisfies the expected trace formula, and that the trace vanishes at the Wilson-Fisher critical point. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2508_11506 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Explicit construction of the energy-momentum tensor in the large N limit Pagani, Carlo Sonoda, Hidenori High Energy Physics - Theory We construct the energy-momentum tensor of the O(N) linear sigma model explicitly in the large N limit using the exact renormalization group (ERG) formalism. The energy-momentum tensor is obtained as a cutoff dependent functional of N scalar field variables. Our guiding principles behind the construction are twofold: first the energy-momentum tensor must satisfy the Ward identity for translation and rotation invariance, and second the energy-momentum tensor must satisfy a variant of the exact renormalization group equation. In the limit that the momentum cutoff goes to zero, our energy-momentum tensor gives the one-particle irreducible (1PI) effective action with the insertion of a single energy-momentum tensor operator. We verify that the energy-momentum tensor constructed satisfies the expected trace formula, and that the trace vanishes at the Wilson-Fisher critical point. |
| title | Explicit construction of the energy-momentum tensor in the large N limit |
| topic | High Energy Physics - Theory |
| url | https://arxiv.org/abs/2508.11506 |