{"ID":23560529,"CreatedAt":"2026-09-18T04:32:43.450744143Z","UpdatedAt":"2026-09-18T04:32:43.450744143Z","DeletedAt":null,"paper_url":"https://arxiv.org/abs/2609.20054","arxiv_id":"2609.20054","title":"Explicit construction of the energy-momentum tensor in the large N limit of a four-Fermi theory","abstract":"Using the exact renormalization group (functional RG) formalism, we construct the energy-momentum tensor of a four-Fermi theory in the Euclidean space of dimensions 2 \u003c D \u003c 4 in the large N limit, where N is the number of Dirac fields. The energy-momentum tensor is a functional of the Dirac fields, and its cutoff dependence is controlled by the exact RG equation. In the zero cutoff limit the functional reduces to the one-particle-irreducible effective action with a single insertion of the energy-momentum tensor. At a finite cutoff the energy-momentum tensor satisfies the Ward-Takahashi identity for translation invariance, and its antisymmetric part is determined by rotation invariance. We also show that the critical theory is conformally invariant by deriving the corresponding Ward-Takahashi identity.","short_abstract":"Using the exact renormalization group (functional RG) formalism, we construct the energy-momentum tensor of a four-Fermi theory in the Euclidean space of dimensions 2 \u003c D \u003c 4 in the large N limit, where N is the number of Dirac fields. The energy-momentum tensor is a functional of the Dirac fields, and its cutoff depen...","url_abs":"https://arxiv.org/abs/2609.20054","url_pdf":"https://arxiv.org/pdf/2609.20054v1","authors":"[\"Carlo Pagani\",\"Hidenori Sonoda\"]","published":"2026-09-17T11:06:33Z","proceeding":"hep-th","tasks":"[\"hep-th\"]","methods":"[]","has_code":false}