2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/99359We study the ground state properties of the critical Lipkin-Meshkov-Glick model. Using the Holstein-Primakoff boson representation, and the continuous unitary transformation technique, we compute explicitly the finite-size scaling exponents for the energy gap, the ground state energy, the magnetization, and the spin-spin correlation functions. Finally, we discuss the behavior of the two-spin entanglement in the vicinity of the phase transition.4 pages, published versionStatistical MechanicsNuclear TheoryQuantum Physicstext