Emergent Gravity Completion in Quantum Field Theory, and Affine Condensation in Open and Closed Strings

TL;DR

This paper proposes that the ultraviolet cutoff in quantum field theory and string theory can be understood as an affine curvature condensate, leading to emergent gravity and connecting string theory with low-energy physics.

Contribution

It introduces a novel interpretation of the UV cutoff as an affine curvature condensate, unifying emergent gravity in quantum field and string theories.

Findings

Affine curvature acts as a condensate for UV cutoff.

Emergent gravity arises from minima of affine action.

Open and closed strings exhibit similar emergent gravity patterns.

Abstract

The ultraviolet cutoff on a quantum field theory can be interpreted as a condensate of the affine curvature such that while the maximum of the affine action gives the power-law corrections, its minimum leads to the emergence of gravity. This mechanism applies also to fundamental strings as their spinless unstable ground levels can be represented by the scalar affine curvature such that open strings (D-branes) decay to closed strings and closed strings to finite minima with emergent gravity. Affine curvature is less sensitive to massive string levels than the tachyon, and the field-theoretic and stringy emergent gravities take the same form. It may be that affine condensation provides an additional link between the string theory and the known physics at low energies.