Constructive use of holographic projections
arXiv:0712.1573
Abstract
Revisiting the old problem of existence of interacting models of QFT with new conceptual ideas and mathematical tools, one arrives at a novel view about the nature of QFT. The recent success of algebraic methods in establishing the existence of factorizing models suggests new directions for a more intrinsic constructive approach beyond Lagrangian quantization. Holographic projection as a simplifying tool for certain aspects of QFT turn out to be an indispensible part of these new attempts.
24 pages, refereces and footnotes added, last two sections expanded Dedicated to Klaus Fredenhagen on the occasion of his 60th birthday. To appear in: "Quantum field theory --Competitive Methods", Birkhhaeuser Basel, 2008, Eds. B. Fauser, J. Tolksdorf and E. Zeidler 23 pages
References in corpus (6)
- String-- and Brane--Localized Causal Fields in a Strongly Nonlocal Model
- Jorge A. Swieca's contributions to quantum field theory in the 60s and 70s and their relevance in present research
- Harmonic bilocal fields generated by globally conformal invariant scalar fields
- Localization and the interface between quantum mechanics, quantum field theory and quantum gravity
- AdS/CFT correspondence in the Euclidean context
- Localization-Entropy from Holography on Null-Surfaces and the Split Property