Entanglement entropy of a Rarita-Schwinger field in a sphere

• Autores: Benedetti, Valentin; Daguerre, Lucas
• Año de publicación: 2023
• Idioma: inglés
• Tipo de recurso: artículo
• Materia: ENTANGLEMENT ENTROPY; DIMENSIONAL REDUCTION; RARITA-SCHWINGER FIELD; FERMIONS
• Institución: Consejo Nacional de Investigaciones Científicas y Técnicas

We study the universal logarithmic coefficient of the entanglement entropy in a sphere for free fermionic field theories in a d=4 Minkowski spacetime. As a warm-up, we revisit the free massless spin-1/2 field case by employing a dimensional reduction to the d=2 half-line and a subsequent numerical real-time computation on a lattice. Surprisingly, the area coefficient diverges for a radial discretization but is finite for a geometric regularization induced by the mutual information. The resultant universal logarithmic coefficient -11/90 is consistent with the literature. For the free massless spin-3/2 field, the Rarita-Schwinger field, we also perform a dimensional reduction to the half-line. The reduced Hamiltonian coincides with the spin-1/2 one, except for the omission of the lowest total angular momentum modes. This gives a universal logarithmic coefficient of -71/90. We discuss the physical interpretation of the universal logarithmic coefficient for free higher-spin field theories without a stress-energy tensor.
Fil: Benedetti, Valentin. Comisión Nacional de Energía Atómica. Centro Atómico Bariloche; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Patagonia Norte; Argentina
Fil: Daguerre, Lucas. University of California at Davis; Estados Unidos