M theory dimension change and large N_c, are they related?

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Discussion Overview

The discussion revolves around the relationship between the limit of large color charge (N_c) in quantum chromodynamics and the dimensionality of M-theory, particularly the emergence of extra dimensions. Participants explore whether the transition to ten dimensions in M-theory is analogous to the large N_c limit.

Discussion Character

  • Exploratory, Technical explanation, Debate/contested

Main Points Raised

  • One participant suggests that the transition from a color tube to a string in the limit of large N_c may relate to the extra dimension of M-theory.
  • Another participant notes that in the context of AdS/CFT, the parameters N and g (gauge coupling) are significant, and while the emergence of the eleventh dimension in string theory occurs at large string coupling, which is proportional to g^2, there may be interactions between N and g that could suggest a relationship.
  • Several participants emphasize the importance of citing sources in discussions, referencing a specific paper on quark confinement as a potential basis for the ideas presented.

Areas of Agreement / Disagreement

Participants express differing views on the relationship between large N_c and the dimensionality of M-theory, with no consensus reached on whether there is a direct connection.

Contextual Notes

There are unresolved aspects regarding the definitions of terms like "large N_c" and "string coupling," as well as the implications of their interplay in the context of M-theory and AdS/CFT.

arivero
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Reading old text about the limit of large N_c, there are some remarks telling that for finite N we have a colour tube and that it becomes a string in the limit. It sounds as the extra dimension of M-Theory, and I wonder if the math of both calculations are related somehow. Is the transition to d=10 something similar to a large number of colours limit?
 
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Usually we reveal our sources (i.e. citation) even though there's the saying:"the secret to creativity is to know how to hide your sources"... ;-)
 
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In terms of AdS/CFT, one has N (as in SU(N)) and g (gauge coupling) to work with. In string theory, the eleventh dimension emerges when string coupling is large, and string coupling is proportional to g^2. So at first glance there is no relationship, though in practice there are limits defined by behavior of N and g, so there may be an interplay.
 
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MathematicalPhysicist said:
Usually we reveal our sources (i.e. citation) even though there's the saying:"the secret to creativity is to know how to hide your sources"... ;-)

I think I got the idea from

Quark confinement in the infinite-momentum frame
Charles Thorn
Phys. Rev. D 19, 639 – Published 15 January 1979
 

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