scholarly journals On the strong coupling region in quantum matrix string theory

2002 ◽  
Vol 2002 (09) ◽  
pp. 019-019 ◽  
Author(s):  
Shozo Uehara ◽  
Satoshi Yamada
2003 ◽  
Vol 18 (25) ◽  
pp. 1743-1752
Author(s):  
G. Cleaver ◽  
K. Tanaka

We consider N=2 SU(2) Seiberg–Witten duality theory for models with N f =2 and N f =3 quark flavors. We investigate arbitrary large bare mass ratios between two or three quarks at the singular points. For N f =2 we explore large bare mass ratios corresponding to a singularity in the strong coupling region. For N f =3 we determine the location of both strong and weak coupling singularities that produce specific large bare mass ratios.


2016 ◽  
Vol 25 (10) ◽  
pp. 1630006 ◽  
Author(s):  
Alberto Güijosa

In the nearly 20 years that have elapsed since its discovery, the gauge-gravity correspondence has become established as an efficient tool to explore the physics of a large class of strongly-coupled field theories. A brief overview is given here of its formulation and a few of its applications, emphasizing attempts to emulate aspects of the strong-coupling regime of quantum chromodynamics (QCD). To the extent possible, the presentation is self-contained, and does not presuppose knowledge of string theory.


1991 ◽  
Vol 06 (27) ◽  
pp. 2467-2474 ◽  
Author(s):  
J. AMBJØRN ◽  
A. BELLINI ◽  
D. JOHNSTON

It is clear from both the non-perturbative and perturbative approaches to two-dimensional quantum gravity that a new strong coupling regime is setting in at d = 1, independent of the genus of the worldsheet being considered. It has been suggested that a Kosterlitz–Thouless (KT) phase transition in the Liouville theory is the cause of this behavior. However, it has recently been pointed out that the XY-model, which displays a KT transition on the plane and the sphere, is always in the strong coupling, disordered phase on a surface of constant negative curvature. A higher genus worldsheet can be represented as a fundamental region on just such a surface, which might seem to suggest that the KT picture predicts a strong coupling region for arbitrary d, contradicting the known results. We resolve the apparent paradox.


2021 ◽  
Vol 2021 (10) ◽  
Author(s):  
Simone Giombi ◽  
Bendeguz Offertaler

Abstract We study the half-BPS circular Wilson loop in $$ \mathcal{N} $$ N = 4 super Yang-Mills with orthogonal gauge group. By supersymmetric localization, its expectation value can be computed exactly from a matrix integral over the Lie algebra of SO(N). We focus on the large N limit and present some simple quantitative tests of the duality with type IIB string theory in AdS5× ℝℙ5. In particular, we show that the strong coupling limit of the expectation value of the Wilson loop in the spinor representation of the gauge group precisely matches the classical action of the dual string theory object, which is expected to be a D5-brane wrapping a ℝℙ4 subspace of ℝℙ5. We also briefly discuss the large N, large λ limits of the SO(N) Wilson loop in the symmetric/antisymmetric representations and their D3/D5-brane duals. Finally, we use the D5-brane description to extract the leading strong coupling behavior of the “bremsstrahlung function” associated to a spinor probe charge, or equivalently the normalization of the two-point function of the displacement operator on the spinor Wilson loop, and obtain agreement with the localization prediction.


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