On the particle picture of Emergence
Jarod Hattab, Eran Palti

TL;DR
This paper offers a new perspective on the Emergence Proposal in quantum gravity, showing how tree-level kinetic terms can be derived from ultraviolet physics associated with extended objects, using a modified Schwinger integral approach.
Contribution
It introduces a novel interpretation involving a Schwinger-like integral with an analytic continuation to capture ultraviolet physics from extended objects, providing exact recovery of the prepotential.
Findings
Tree-level prepotential can be derived from ultraviolet physics of extended objects.
A modified Schwinger integral with analytic continuation captures the relevant physics.
Special loci in moduli space allow a particle picture and simplified calculations.
Abstract
The Emergence Proposal is the idea that all kinetic terms for fields in quantum gravity are emergent in the infrared from integrating out towers of states. It predicts that in a supersymmetric string theory context, the tree-level prepotential terms can be recovered precisely by integrating out a tower of non-perturbative states. In this note we present a new perspective, and associated quantitative evidence, for this proposal. We argue that the tree-level kinetic terms arise from integrating out the ultraviolet physics of each of the states in the tower. This ultraviolet physics is associated to extended objects, and cannot be captured by a standard particle Schwinger integral. Instead, we argue that it should be captured by a Schwinger-like integral where the proper time is analytically continued, and a contour is taken around the origin. This maps to certain integral representations…
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Taxonomy
TopicsBlack Holes and Theoretical Physics · Computational Physics and Python Applications · Particle physics theoretical and experimental studies
