Vacuum expectation value of twist fields

Abstract

Twist fields emerge in a number of physical applications ranging from entanglement entropy to scattering amplitudes in four-dimensional gauge theories. In this work, their vacuum expectation values are studied in the path integral framework. By performing a gauge transformation, their correlation functions are reduced to field theory of matter fields in external Aharonov-Bohm vortices. The resulting functional determinants are then analyzed within the zeta function regularization for the spectrum of Bessel zeros and concise formulas are derived.

11 pages, 1 figure

References in corpus (3)

• On the collinear limit of scattering amplitudes at strong coupling
• Branch Point Twist Field Correlators in the Massive Free Boson Theory
• The contribution of scalars to $\mathcal{N}=4$ SYM amplitudes

Cited by in corpus (1)

• A Young diagram expansion of the hexagonal Wilson loop (amplitude) in $\mathcal{N}=4$ SYM