Gauge theory loop operators and Liouville theory

Gauge Theory Loop Operators and Liouville Theory

We propose a correspondence between loop operators in a family of four dimensional N = 2 gauge theories on S4 – including Wilson, ’t Hooft and dyonic operators – and Liouville theory loop operators on a Riemann surface. This extends the beautiful relation between the partition function of these N = 2 gauge theories and Liouville correlators found by Alday, Gaiotto and Tachikawa. We show that th...

Spectral theory, Volterra integral operators and the Sturm-Liouville theorem

Efficient hadronic operators in lattice gauge theory.

We study operators to create hadronic states made of light quarks in quenched lattice gauge theory. We construct non-local gauge-invariant operators which provide information about the spatial extent of the ground state and excited states. The efficiency of the operators is shown by looking at the wave function of the first excited state, which has a node as a function of the spatial extent of ...

Dimensionally continued multi-loop gauge theory

A dimensionally continued background-field method makes the rationality of the 4-loop quenched QED beta function far more reasonable than had previously appeared. After 33 years of quest, dating from Rosner’s discovery of 3-loop rationality, one finally sees cancellation of zeta values by the trace structure of individual diagrams. At 4-loops, diagram-by-diagram cancellation of ζ(5) does not ev...

One-Loop Splitting Amplitudes in Gauge Theory

We recompute the functions describing the collinear factorization of one-loop amplitudes using the unitarity-based method. We present the results in a form suitable for use as an ingredient in two-loop calculations. We also present a function summarizing the behavior at one loop in both the soft and collinear limits. Laboratory of the Direction des Sciences de la Matière of the Commissariat à l...