Vacuum Energy and Renormalization on the Edge

dc.creatorAsorey, M.
dc.creatorGarcia-Alvarez, D.
dc.creatorMunoz-Castaneda, J. M.
dc.date2007-04-09
dc.date.accessioned2026-07-07T10:59:27Z
dc.date.available2026-07-07T10:59:27Z
dc.descriptionThe vacuum dependence on boundary conditions in quantum field theories is analysed from a very general viewpoint. From this perspective the renormalization prescriptions not only imply the renormalization of the couplings of the theory in the bulk but also the appearance of a flow in the space of boundary conditions. For regular boundaries this flow has a large variety of fixed points and no cyclic orbit. The family of fixed points includes Neumann and Dirichlet boundary conditions. In one-dimensional field theories pseudoperiodic and quasiperiodic boundary conditions are also RG fixed points. Under these conditions massless bosonic free field theories are conformally invariant. Among all fixed points only Neumann boundary conditions are infrared stable fixed points. All other conformal invariant boundary conditions become unstable under some relevant perturbations. In finite volumes we analyse the dependence of the vacuum energy along the trajectories of the renormalization group flow providing an interesting framework for dark energy evolution. On the contrary, the renormalization group flow on the boundary does not affect the leading behaviour of the entanglement entropy of the vacuum in one-dimensional conformally invariant bosonic theories.
dc.description10 pages, 1 eps figure
dc.identifierhttps://arxiv.org/abs/0704.1084
dc.identifierhttp://arxiv.org/abs/0704.1084
dc.identifierJ.Phys.A40:6767-6776,2007
dc.identifierdoi:10.1088/1751-8113/40/25/S21
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/187407
dc.subjectHigh Energy Physics - Theory
dc.titleVacuum Energy and Renormalization on the Edge
dc.typetext

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