A soluble string theory of hadrons

Gimon, Eric G.; Zayas, Leopoldo A. Pando; Sonnenschein, Jacob; Strassler, Matthew J.

doi:10.1088/1126-6708/2003/05/039

Cited by 51 publications

(195 citation statements)

References 39 publications

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“…Generalizing some of the ideas proposed in [5], a particular sector of these theories has been isolated. The resulting string theory is exactly solvable and describes hadronic excitations of the gauge theory [17]. Since the Penrose-Güven limit of either KS or MN backgrounds entails boosting along a certain compact direction transverse to the gauge theory directions, the hadronic states that are dual to the string theory modes necessarily have large U(1) charge.…”

Section: A String Theory Dual To Hadronic Statesmentioning

confidence: 99%

“…Since the Penrose-Güven limit of either KS or MN backgrounds entails boosting along a certain compact direction transverse to the gauge theory directions, the hadronic states that are dual to the string theory modes necessarily have large U(1) charge. These hadronic states that are selected upon taking the Penrose-Güven limit may be viewed as ripples on an infinitely heavy configuration with a large U(1) charge, called annulon [17].…”

Section: A String Theory Dual To Hadronic Statesmentioning

confidence: 99%

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Hadronic Density of States from String Theory

Zayas

Vaman

2003

Phys. Rev. Lett.

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Exactly soluble string theories describing a particular hadronic sector of certain confining gauge theories have been obtained recently as Penrose-Güven limits of the dual supergravity backgrounds. The effect of taking the Penrose-Güven limit on the gravity side translates, in the gauge theory side, into an effective truncation to hadrons of large U(1) charge (annulons). We present an exact calculation of the finite temperature partition function for the hadronic states corresponding to a Penrose-Güven limit of the Maldacena-Nùñez embedding of N = 1 SYM into string theory. It is established that the theory exhibits a Hagedorn density of states.Motivated by this exact calculation we propose a semiclassical string approximation to the finite temperature partition function for confining gauge theories admitting a supergravity dual, by performing an expansion around classical solutions characterized by temporal windings. This semiclassical approximation reveals a hadronic energy density of states of Hagedorn type, with the coefficient determined by the gauge theory string tension as expected for confining theories. We argue that our proposal captures primarily information about states of pure N = 1 SYM, given that this semiclassical approximation does not entail a projection onto states of large U(1) charge.

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Section: A String Theory Dual To Hadronic Statesmentioning

confidence: 99%

Section: A String Theory Dual To Hadronic Statesmentioning

confidence: 99%

Hadronic Density of States from String Theory

Zayas

Vaman

2003

Phys. Rev. Lett.

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“…The R → ∞ limit can be achieved, for instance, by transforming the (2.3) geometry into a parallel plane-wave spacetime [27].…”

Section: × Rmentioning

confidence: 99%

Semi-classical string solutions for =1 SYM

Pons¹,

Talavera²

2003

Nuclear Physics B

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We study semi-classically the dynamics of string solitons in the Maldacena-Nuñez background, dual in the infra-red to N =1, d = 4 SYM. For closed string configurations rotating in the S 2 × R space wrapped by the stack of N D-branes we find a behaviour that indicates the decoupling of the stringy Kaluza-Klein modes with sufficiently large R-symmetry charge. We show that the spectrum of a pulsating string configuration in S 2 coincides with that of a N=2 super Sine-Gordon model. Closed string configurations spinning in the transversal S 3 give a relation of the energy and the conserved angular momentum identical to that obtained for configurations spinning in the S 5 of the AdS 5 × S 5 , dual to N =4 SYM. In order to obtain non-trivial relations between the energy and the spin, we also consider conical-like configurations stretching along a radial variable in the unwrapped directions of the system of D-branes and simultaneously along the transversal direction. We find that in this precise case, these configurations are unstable -contrary to other backgrounds, where we show that they are stable. We point out that in the Poincaré-like coordinates used for the MaldacenaNuñez background it seems that it is not possible to reproduce the well-known field theory relation between the energy and the angular momentum. We reach a similar conclusion for the Klebanov-Strassler background, by showing that the conical-like configurations are also unstable.

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“…Much of the developments in the conformal version regarding beyond the supergravity approximation were extended to the nonconformal case. For example, the BMN limit [12] was also understood in nonconformal situations; the analogous structure describes hadronic states for which an exact string Hamiltonian was presented [13]. Using semiclassical quantization in the context of gauge/gravity correspondence, quantum corrections to Regge trajectories were calculated [14], showing that quantum effects alter both the linearity of the trajectory and the vanishing classical intercept, J := α(t) = α 0 + α ′ t + β √ t. More recently, Alday and Maldacena proposed a prescription to calculate the gluon scattering amplitudes for N = 4 using beyond the supergravity degrees of freedom [15].…”

Section: Introductionmentioning

confidence: 99%

Light-like Wilson Loops and Cusp Anomalous Dimensions in Nonconformal Gauge Theories

Zayas¹,

Phalen²,

Terrero-Escalante³

et al. 2008

AIP Conference Proceedings

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Abstract. We emphasize that nonconformal theories provide a natural playground for the ideas of the Maldacena conjecture opening the possibility of exploring properties that could potentially be in the same universality class as QCD. In particular, we discuss in detail how light-like Wilson loops, an important ingredient in the prescription for scattering amplitudes, can be described in a number of gravity duals of nonconformal gauge theories. We point out to a few universal properties and the prominent role of the strong scale.

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A soluble string theory of hadrons

Cited by 51 publications

References 39 publications

Hadronic Density of States from String Theory

Hadronic Density of States from String Theory

Semi-classical string solutions for =1 SYM

Light-like Wilson Loops and Cusp Anomalous Dimensions in Nonconformal Gauge Theories

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