Gauge theory webs and surfaces

Abstract

We analyze the perturbative cusp and closed polygons of Wilson lines for massless gauge theories in coordinate space, and express them as exponentials of two-dimensional integrals. These integrals have geometric interpretations, which link renormalization scales with invariant distances.

24 pages, 5 figures, v2: extended discussion, v3: published version

References in corpus (14)

• Gluon scattering amplitudes at strong coupling
• Conformal properties of four-gluon planar amplitudes and Wilson loops
• Space-time S-matrix and Flux-tube S-matrix at Finite Coupling
• Next-to-next-to-leading soft-gluon corrections for the top quark cross section and transverse momentum distribution
• Scattering Amplitudes, Wilson Loops and the String/Gauge Theory Correspondence
• Threshold resummation for pair production of coloured heavy (s)particles at hadron colliders
• Webs in multiparton scattering using the replica trick
• The Soft Function for Exclusive N-Jet Production at Hadron Colliders
• The Massive Soft Anomalous Dimension Matrix at Two Loops
• The Non-Abelian Exponentiation theorem for multiple Wilson lines
• Diagrammatic Exponentiation for Products of Wilson Lines
• Generating function for web diagrams
• Coordinate-space singularities of massless gauge theories
• Evolution of transverse-distance dependent parton densities at large-$x_B$ and geometry of the loop space

Cited by in corpus (17)

• Nonperturbative Negative Geometries: Amplitudes at Strong Coupling and the Amplituhedron
• Scattering amplitudes in the Regge limit and the soft anomalous dimension through four loops
• Non-abelian infrared divergences on the celestial sphere
• Ultraviolet divergences and factorization for coordinate-space amplitudes
• Relating amplitude and PDF factorisation through Wilson-line geometries
• Structure of rapidity divergences in soft factors
• The gravitational cusp anomalous dimension from AdS space
• Anomalous Dimensions from Soft Regge Constants
• The SAGEX Review on Scattering Amplitudes, Chapter 15: The Multi-Regge Limit
• QED as a many-body theory of worldlines: I. General formalism and infrared structure
• Iterating QCD scattering amplitudes in the high-energy limit
• Renormalization of the next-to-leading-power $\gamma \gamma \to h$ and $gg\to h$ soft quark functions
• Loop space and evolution of the light-like Wilson polygons
• Position-space cuts for Wilson line correlators
• Path description of coordinate-space amplitudes
• Coordinate light-cone-ordered perturbation theory
• A coordinate description of partonic processes