We construct and investigate quantum fields induced on a d-dimensional dissipationless defect by bulk fields propagating in a (d + I)-dimensional space. All interactions are localized on the defect. We derive a unitary noncanonical quantum field theory on the defect, which is analyzed both in the continuum and on the lattice. The universal critical behavior of the underlying system is determined. It turns out that the O(N)-symmetric phi(4) theory, induced on the defect by massless bulk fields, belongs to the universality class of particular d-dimensional spin models with long-range interactions. On the other hand, in the presence of bulk mass the critical behavior crossovers to the one of d-dimensional spin models with short-range interactions. (c) 2005 Elsevier B.V. All rights reserved.
Quantum field theories and critical phenomena on defects
VICARI, ETTORE
2005-01-01
Abstract
We construct and investigate quantum fields induced on a d-dimensional dissipationless defect by bulk fields propagating in a (d + I)-dimensional space. All interactions are localized on the defect. We derive a unitary noncanonical quantum field theory on the defect, which is analyzed both in the continuum and on the lattice. The universal critical behavior of the underlying system is determined. It turns out that the O(N)-symmetric phi(4) theory, induced on the defect by massless bulk fields, belongs to the universality class of particular d-dimensional spin models with long-range interactions. On the other hand, in the presence of bulk mass the critical behavior crossovers to the one of d-dimensional spin models with short-range interactions. (c) 2005 Elsevier B.V. All rights reserved.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
