IFLP   13074
INSTITUTO DE FISICA LA PLATA
Unidad Ejecutora - UE
artículos
Título:
Entropy and modular Hamiltonian for a free chiral scalar in two intervals
Autor/es:
ARIAS, RAÚL E.; PONTELLO, DIEGO; HUERTA, MARINA; CASINI, HORACIO; ARIAS, RAÚL E.; PONTELLO, DIEGO; HUERTA, MARINA; CASINI, HORACIO
Revista:
Physical Review D
Editorial:
American Physical Society
Referencias:
Año: 2018 vol. 98
ISSN:
2470-0010
Resumen:
We calculate the analytic form of the vacuum modular Hamiltonian for a two interval region and the algebra of a current j(x)=∂φ(x) corresponding to a chiral free scalar φ in d=2. We also compute explicitly the mutual information between the intervals. This model shows a failure of Haag duality for two intervals that translates into a loss of a symmetry property for the mutual information usually associated with modular invariance. Contrary to the case of a free massless fermion, the modular Hamiltonian turns out to be completely nonlocal. The calculation is done diagonalizing the density matrix by computing the eigensystem of a correlator kernel operator. These eigenvectors are obtained by a novel method that involves solving an equivalent problem for a holomorphic function in the complex plane where multiplicative boundary conditions are imposed on the intervals. Using the same technique we also rederive the free fermion modular Hamiltonian in a more transparent way.