TY - JOUR

T1 - Worldsheets in holography

T2 - Computing corrections to the Veneziano amplitude

AU - Ireson, Edwin

PY - 2019/5/10

Y1 - 2019/5/10

N2 - We provide a brief summary of a method to calculate improvements to the Veneziano amplitude, creating sub-leading nonlinearities in the Regge trajectory of states. We formulate it as an extension of a computation by Makeenko and Olesen. We begin in a confining gauge theory coupled to matter, rewriting the meson scattering amplitude as a specific path integral over shapes and sizes of closed Wilson loops using the worldline formalism. We then prescribe how to further the computation at strong coupling by employing holography, which provides a prescription for the expectation value of these Wilson loops in strongly coupled regimes. The computation we desire then appears to subsume to a certain calculation in the effective field theory of a string worldsheet embedded in a certain broad class of allowed holographic backgrounds. A convenient interaction picture presents itself naturally in this context, allowing us to draw Feynman diagrams corresponding to the first few corrections due to weaker coupling regimes. The answer we find has qualitatively the same features as other endeavors with the same objective.

AB - We provide a brief summary of a method to calculate improvements to the Veneziano amplitude, creating sub-leading nonlinearities in the Regge trajectory of states. We formulate it as an extension of a computation by Makeenko and Olesen. We begin in a confining gauge theory coupled to matter, rewriting the meson scattering amplitude as a specific path integral over shapes and sizes of closed Wilson loops using the worldline formalism. We then prescribe how to further the computation at strong coupling by employing holography, which provides a prescription for the expectation value of these Wilson loops in strongly coupled regimes. The computation we desire then appears to subsume to a certain calculation in the effective field theory of a string worldsheet embedded in a certain broad class of allowed holographic backgrounds. A convenient interaction picture presents itself naturally in this context, allowing us to draw Feynman diagrams corresponding to the first few corrections due to weaker coupling regimes. The answer we find has qualitatively the same features as other endeavors with the same objective.

KW - AdS/CFT

KW - Meson scattering

KW - Regge trajectory

KW - holography

UR - http://www.scopus.com/inward/record.url?scp=85063727505&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85063727505&partnerID=8YFLogxK

U2 - 10.1142/S0217732319300027

DO - 10.1142/S0217732319300027

M3 - Review article

AN - SCOPUS:85063727505

VL - 34

JO - Modern Physics Letters A

JF - Modern Physics Letters A

SN - 0217-7323

IS - 14

M1 - 1930002

ER -