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Jack2013
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Is Ads/CFT correspondance the same as gauge /gravity duality?
I think AdS/CFT is only an APPROXIMATIVE correspondence in QCD.Jack2013 said:From the little I know in gauge theory , QCD has asymptotic freedom . Does this mean that it is not conformally invariant ? If so , how there is Ads\CFT correspondance between QCD and string theory?
Ads/CFT correspondence and gauge/gravity duality are two different terms used to describe the same concept in theoretical physics. It is a theoretical framework that relates two seemingly different theories - Anti-de Sitter space (Ads) and conformal field theory (CFT) in a lower-dimensional space, and gravity and gauge theory in a higher-dimensional space.
Ads/CFT correspondence and gauge/gravity duality are two different ways of describing the same relationship between theories. Ads/CFT correspondence is a specific example of gauge/gravity duality, where the anti-de Sitter space is the higher-dimensional space and the conformal field theory is the lower-dimensional space.
This theoretical framework has been instrumental in bridging the gap between quantum field theory and gravity, two fundamental theories in physics that were previously thought to be incompatible. It has also allowed for new insights and calculations in black hole physics, quantum gravity, and other areas of theoretical physics.
The exact mechanism of how Ads/CFT correspondence and gauge/gravity duality work is not fully understood, but it is believed that the two theories are equivalent due to the holographic principle, which states that all the information about a higher-dimensional space can be encoded on its lower-dimensional boundary.
While the Ads/CFT correspondence and gauge/gravity duality have been successful in many applications, there are still open questions and challenges in fully understanding this relationship. Some of these include the lack of a complete mathematical proof, the applicability to different types of theories, and the connection to the physical world.