Abstract

We consider different ways of modifying the mass spectrum of a strongly coupled gauge theory with confinement using the AdS/CFT correspondence. Single- and multitrace deformations are introduced, such that the resulting theory has a mode lighter than the confinement scale. The multitrace deformation is shown to be a possible way of achieving a light composite mode, unlike the single-trace deformation where the light mode is an admixture of elementary and composite states.

Highlights

  • Based on our experience with QCD, we know that the composite states of a strongly coupled gauge theory have masses around the confinement scale

  • One can modify the theory with no light mode in different ways such as coupling an elementary scalar to a composite operator or introducing effective interactions in the strong sector

  • Inspired by the AdS=conformal field theory (CFT) correspondence [4], we can construct the dual model in the extra-dimensional space where the modifications of the mass spectrum are more tractable

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Summary

INTRODUCTION

Based on our experience with QCD, we know that the composite states of a strongly coupled gauge theory have masses around the confinement scale. One can modify the theory with no light mode in different ways such as coupling an elementary scalar to a composite operator or introducing effective interactions in the strong sector. These changes modify the mass spectrum of the theory; it is not straightforward to compute the effect due to the strong dynamics.

HOLOGRAPHY FOR A MASSLESS MODE
Dictionary I
Dictionary II
RELATIONSHIP BETWEEN O AND O0
CONCLUSION
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