The fifth dimension in the worldline formalism, holography, and the Wilson flow

作者：Dietrich Dennis D^*

来源：Physical Review D - Particles, Fields, Gravitation and Cosmology, 2014, 89(10): 106009.

DOI：10.1103/PhysRevD.89.106009

We develop a model for hadrons in the framework of the worldline formalism. While being based wholly in four-dimensional quantum field theory, it shares many features with holographic approaches: Already by the use of the worldline formalism the approach appears intrinsically quantum mechanical. As auxiliary fifth dimension Schwinger%26apos;s proper time is grouped with the physical four spacetime dimensions into an AdS(5) geometry, which is warped due to conformal-symmetry breaking effects. Hidden local symmetry is emergent. The four-dimensional sources are extended to five-dimensional fields by a Wilson flow (gradient flow). A variational principle for the flow reproduces exactly the corresponding holographic computation. The worldline approach also yields the higher-dimensional description in the nonrelativistic case.

• 出版日期2014-5-20