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Magnetic S parameter.

Francesco Sannino¹

¹CP3-Origins, Campusvej 55, DK-5230 Odense M, Denmark. sannino@cp3.sdu.dk

Physical Review Letters

|January 15, 2011

Summary

This study introduces a direct test for gauge duals in nonsupersymmetric theories by calculating the S parameter. Results support a universal lower bound for the S parameter, aiding in counting degrees of freedom.

Area of Science:

High Energy Physics
Quantum Field Theory
String Theory

Background:

Nonsupersymmetric asymptotically free gauge theories with an infrared fixed point are crucial in understanding fundamental forces.
Gauge duality offers a powerful tool to study strongly coupled quantum field theories.
The S parameter is a key observable for probing the properties of these theories.

Purpose of the Study:

To propose and perform a direct test for the existence of gauge duals in four-dimensional nonsupersymmetric gauge theories.
To compute the S parameter in both electric and dual magnetic descriptions.
To investigate the implications of the results for a conjectured universal lower bound on the S parameter.

Main Methods:

Calculation of the S parameter in the electric description of the gauge theory.

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Computation of the S parameter in the dual magnetic description.

Analysis of the S parameter at the lower bound of the conformal window.

Main Results:

A direct test for gauge duals in nonsupersymmetric gauge theories is proposed.
The magnetic S parameter at the lower bound of the conformal window is expressed in terms of elementary magnetic degrees of freedom.
The results provide further support for a universal lower bound on the S parameter.

Conclusions:

The S parameter is identified as an ideal operator for counting physical degrees of freedom within the conformal window.
The study presents the first explicit computation of a nonperturbative quantity in electric variables using nonsupersymmetric gauge duality.
The findings pave the way for uncovering four-dimensional gauge duals and understanding strongly coupled nonsupersymmetric theories.