2024/10/21 by Nikos Irges, Irges, Nikos, Leonidas Karageorgos +1 · 1 citation
Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #FOS: Physical sciences #High Energy Physics - Phenomenology (hep-ph) #High Energy Physics - Theory (hep-th) #Particle physics theoretical and experimental studies
paper · pdf · doi:10.48550/arxiv.2410.16040
openalex publication_date 2024/10/21 · openalex created_date 2024/11/13 · openalex updated_date 2026/07/28
We revisit the construction of the renormalized trace Θ of the Energy-Momentum tensor in the four-dimensional λϕ4 theory,using dimensional regularization in d=4-\ve dimensions. We first construct several basic correlators such as \braketϕ2 ϕϕ, \braketϕ4 ϕϕ to order λ2 and from these the correlators \braketKI ϕϕ and \braketKI KJ with KI the basis of dimension d operators. We then match the limit of their expressions on the Wilson-Fisher fixed point to the corresponding expressions obtained in Conformal Field Theory. Then, using the 3-point function \braketΘϕϕ, we construct the operator Θ as a certain linear combination of the basis operators, using the requirements that Θ should vanish on the fixed point and that it should have zero anomalous dimension. Finally, we compute the 2-point function \braketΘΘ and we show that it obeys an eigenvalue equation that gives additional information about the internal structure of the Energy-Momentum tensor operator to what is already contained in its Callan-Symanzik equation.