TY - JOUR

T1 - Baryons from supergravity

AU - Brandhuber, Andreas

AU - Itzhaki, Nissan

AU - Sonnenschein, Jacob

AU - Yankielowicz, Shimon

PY - 1998

Y1 - 1998

N2 - We study the construction of baryons via supergravity along the line suggested recently by Witten and by Gross and Ooguri. We calculate the energy of the baryon as a function of its size. As expected the energy is linear with N. For the non-supersymmetric theories (in three and four dimensions) we find a linear relation which is an indication of confinement. For the N = 4 theory we obtain the result (EL = -const.) which is compatible with conformal invariance. Surprisingly, our calculation suggests that there is a bound state of k quarks if N ≥ k ≥ 5N/8. We study the N = 4 theory also at finite temperature and find the zero temperature behavior for small size of the baryon, and screening behavior for baryon, whose size is large compared to the thermal wavelength.

AB - We study the construction of baryons via supergravity along the line suggested recently by Witten and by Gross and Ooguri. We calculate the energy of the baryon as a function of its size. As expected the energy is linear with N. For the non-supersymmetric theories (in three and four dimensions) we find a linear relation which is an indication of confinement. For the N = 4 theory we obtain the result (EL = -const.) which is compatible with conformal invariance. Surprisingly, our calculation suggests that there is a bound state of k quarks if N ≥ k ≥ 5N/8. We study the N = 4 theory also at finite temperature and find the zero temperature behavior for small size of the baryon, and screening behavior for baryon, whose size is large compared to the thermal wavelength.

KW - 1/n expansion

KW - Brane dynamics in gauge theories

UR - http://www.scopus.com/inward/record.url?scp=33645926072&partnerID=8YFLogxK

U2 - 10.1088/1126-6708/1998/07/020

DO - 10.1088/1126-6708/1998/07/020

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AN - SCOPUS:33645926072

SN - 1126-6708

VL - 1998

SP - XXX-10

JO - Journal of High Energy Physics

JF - Journal of High Energy Physics

IS - 7

ER -