Worldline holography to all orders and higher spins

Dietrich, Dennis D. (2016): Worldline holography to all orders and higher spins. In: Physical Review D, Vol. 94, No. 8, 86013

Abstract

By using the worldline approach to quantum field theory, we demonstrate to all orders that the sources of a quantum field theory over Mink 4 naturally form a field theory over AdS(5). In particular, this holds for higher-spin sources of a free scalar theory. We work entirely within quantum-field theory and do not select a subset of diagrams. As the auxiliary fifth dimension Schwinger's proper time is grouped with the physical four spacetime dimensions into an AdS(5) geometry. The four-dimensional sources are extended to five-dimensional fields by a Wilson flow (gradient flow). A variational principle for said flow reproduces the corresponding holographic computation.

• Item Type: Journal article
• Faculties: Physics
• Subjects: 500 Science > 530 Physics
• ISSN: 2470-0010
• Language: English