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Asymptotic Freedom and Infrared Behavior in the Type 0 String Approach to Gauge Theory, Nucl. Phys. B547
, 1999
"... In a recent paper we considered the type 0 string theories, obtained from the tendimensional closed NSR string by a GSO projection which excludes spacetime fermions, and studied the lowenergy dynamics of N coincident Dbranes. This led us to conjecture that the fourdimensional SU(N) gauge theory ..."
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Cited by 47 (6 self)
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In a recent paper we considered the type 0 string theories, obtained from the tendimensional closed NSR string by a GSO projection which excludes spacetime fermions, and studied the lowenergy dynamics of N coincident Dbranes. This led us to conjecture that the fourdimensional SU(N) gauge theory coupled to 6 adjoint massless scalars is dual to a background of type 0 theory carrying N units of RR 5form flux and involving a tachyon condensate. The tachyon background leads to a “soft breaking ” of conformal invariance, and we derived the corresponding renormalization group equation. Minahan has subsequently found its asymptotic solution for weak coupling and showed that the coupling exhibits logarithmic flow, as expected from the asymptotic freedom of the dual gauge theory. We study this solution in more detail and identify the effect of the 2loop beta function. We also demonstrate the existence of a fixed point at infinite coupling. Just like the fixed point at zero coupling, it is characterized by the AdS5 × S 5 Einstein frame metric. We argue that there is a RG trajectory extending all the way from the zero coupling fixed point in the UV to the infinite coupling fixed point in the IR.
Noncritical confining strings and the renormalization group, hepth 9902012; Nucl. Phys. B550
, 1999
"... String vacua for non critical strings satisfying the requirements of ZigZag invariance are constructed. The Liouville mode is shown to play the rôle of scale in the Renormalization Group operation. Differences and similarities with the Dbrane near horizon approach to non supersymmetric gauge theor ..."
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Cited by 11 (4 self)
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String vacua for non critical strings satisfying the requirements of ZigZag invariance are constructed. The Liouville mode is shown to play the rôle of scale in the Renormalization Group operation. Differences and similarities with the Dbrane near horizon approach to non supersymmetric gauge theories are discussed as well. 1
A Confining String Theory Derivable from YangMills Theory due to a Novel Vacuum Condensate
, 2002
"... We discuss within the weakfield approximation and the derivative expansion how the area law of the Wilson loop follows directly from the vacuum condensate of mass dimension 2, i.e., simultaneous BoseEinstein condensation of gluon pair and ghostantighost pair. Such a novel vacuum condensate was re ..."
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Cited by 4 (1 self)
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We discuss within the weakfield approximation and the derivative expansion how the area law of the Wilson loop follows directly from the vacuum condensate of mass dimension 2, i.e., simultaneous BoseEinstein condensation of gluon pair and ghostantighost pair. Such a novel vacuum condensate was recently claimed to exist as the nonvanishing vacuum expectation value of a BRSTinvariant composite operator of mass dimension 2. First of all, we use a version of the nonAbelian Stokes theorem to rewrite the Wilson loop line integral to a surface integral. Then we convert the YangMills theory with an insertion of the Wilson loop operator into a bosonic string theory with a rigidity term by way of an equivalent antisymmetric tensor gauge theory which couples to the surface spanned by the Wilson loop. This result suggests an intimate relationship between quark confinement and mass gap in YangMills theory. In fact, the dual GinzburgLandau theory describing the dual superconductivity is also derivable by making use of duality transformations without using the naive Abelian projection and without breaking the global color invariance of the original YangMills theory. This feature is desirable from the viewpoint of color confinement preserving color symmetry.
Gravitationally dressed RG flows and zigzaginvariant strings hepth/9807223
"... We propose a worldsheet realization of the zigzaginvariant bosonic and fermionic strings as a perturbed WessZuminoNovikovWitten model at large negative level k on a group manifold G coupled to 2D gravity. In the large k limit the zigzag symmetry can be obtained as a result of a selfconsistent ..."
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Cited by 3 (1 self)
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We propose a worldsheet realization of the zigzaginvariant bosonic and fermionic strings as a perturbed WessZuminoNovikovWitten model at large negative level k on a group manifold G coupled to 2D gravity. In the large k limit the zigzag symmetry can be obtained as a result of a selfconsistent solution of the gravitationally dressed RG equation. The only solution found for simple group is G = SL(2). More general targetspace geometries can be obtained via tensoring of various cosets based on SL(2). In the supersymmetric case the zigzag symmetry fixes the maximal targetspace dimension of the confining fermionic string to be seven.
Imperial/TP/9899/20 hepth/9812089 Asymptotic Freedom and Infrared Behavior in the Type 0 String Approach to Gauge Theory
, 1998
"... In a recent paper we considered the type 0 string theories, obtained from the tendimensional closed NSR string by a GSO projection which excludes spacetime fermions, and studied the lowenergy dynamics of N coincident Dbranes. This led us to conjecture that the fourdimensional SU(N) gauge theory ..."
Abstract
 Add to MetaCart
(Show Context)
In a recent paper we considered the type 0 string theories, obtained from the tendimensional closed NSR string by a GSO projection which excludes spacetime fermions, and studied the lowenergy dynamics of N coincident Dbranes. This led us to conjecture that the fourdimensional SU(N) gauge theory coupled to 6 adjoint massless scalars is dual to a background of type 0 theory carrying N units of RR 5form flux and involving a tachyon condensate. The tachyon background leads to a “soft breaking ” of conformal invariance, and we derived the corresponding renormalization group equation. Minahan has subsequently found its asymptotic solution for weak coupling and showed that the coupling exhibits logarithmic flow, as expected from the asymptotic freedom of the dual gauge theory. We study this solution in more detail and identify the effect of the 2loop beta function. We also demonstrate the existence of a fixed point at infinite coupling. Just like the fixed point at zero coupling, it is characterized by the AdS5 × S 5 Einstein frame metric. We argue that there is a RG trajectory extending all the way from the zero coupling fixed point in the UV to the infinite coupling fixed point in the IR.