Vacuum expectation value of twist fields

2017/04/30 by A. V. Belitsky · 4 citations
Mathematics · Physics and Astronomy · #Bessel function #Classical mechanics #Cosmology and Gravitation Theories #Gauge theory #Geometry #Mathematical analysis #Mathematical physics #Mathematics #Path integral formulation #Physics #Quantum #Quantum Electrodynamics and Casimir Effect #Quantum electrodynamics #Quantum mechanics #Quantum, superfluid, helium dynamics #Regularization (linguistics) #Riemann zeta function #Theoretical physics #Twist #Vacuum expectation value #Zeta function regularization #hep-th

paper · pdf · doi:10.1103/physrevd.96.066026

published in Physical review. D/Physical review. D. 96(6) (American Physical Society) · 11 pages, 1 figure

arxiv created 2017/05/09 · openalex publication_date 2017/09/21 · arxiv updated 2017/09/27 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/06

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.

Citations

• New Developments in the Casimir Effect
• Form factors of branch-point twist fields in quantum integrable models and entanglement entropy
• Differential equations for sine-Gordon correlation functions at the free fermion point
• Zeta function regularization of path integrals in curved spacetime
• R-Torsion and the Laplacian on Riemannian manifolds
• On the phase transition towards permanent quark confinement
• Path integral for gauge theories with fermions
• Twisting perturbed parafermions