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Six-loop Konishi anomalous dimension from the Y system.
1Laboratoire de Physique Théorique de l'ENS, 24 rue Lhomond, 75005 Paris, France.
Physical Review Letters
|February 2, 2013
Summary
Researchers computed the Konishi anomalous dimension up to six loops using novel functional equations. This perturbative calculation demonstrates a method extendable to higher loop orders in theoretical physics.
Area of Science:
- Theoretical Physics
- Quantum Field Theory
Background:
- The Konishi anomalous dimension is a key observable in certain quantum field theories.
- Previous calculations were limited in their perturbative order.
Purpose of the Study:
- To compute the Konishi anomalous dimension to higher perturbative orders.
- To utilize a recently derived set of functional equations.
Main Methods:
- Perturbative computation up to six loops.
- Application of a finite set of functional equations.
Main Results:
- Successful computation of the Konishi anomalous dimension up to six loops.
- Demonstration of a recursive procedure for higher-loop calculations.
Conclusions:
- The derived functional equations provide a viable path for higher-loop calculations.
- Computational complexity is the primary limitation for extending this method.
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