TY - JOUR

T1 - String theoretical interpretation for finite N Yang-Mills theory in two dimensions

AU - Matsuo, Toshihiro

AU - Matsuura, So

N1 - Funding Information:
The authors would like to thank H. Kawai, T. Tada, M. Hayakawa, T. Kuroki, S. Kawamoto, K. Ohta, Y. Shibusa and Y. Hikida for useful discussions and valuable comments. This work has been supported by the Special Postdoctoral Researchers Program at RIKEN.

PY - 2005/1/10

Y1 - 2005/1/10

N2 - We discuss the equivalence between a string theory and the two-dimensional Yang-Mills theory with SU(N) gauge group for finite N. We find a sector which can be interpreted as a sum of covering maps from closed string worldsheets to the target space, whose covering number is less than N. This gives an asymptotic expansion of 1/N whose large N limit becomes the chiral sector defined by Gross and Taylor. We also discuss that the residual part of the partition function provides the nonperturbative corrections to the perturbative expansion.

AB - We discuss the equivalence between a string theory and the two-dimensional Yang-Mills theory with SU(N) gauge group for finite N. We find a sector which can be interpreted as a sum of covering maps from closed string worldsheets to the target space, whose covering number is less than N. This gives an asymptotic expansion of 1/N whose large N limit becomes the chiral sector defined by Gross and Taylor. We also discuss that the residual part of the partition function provides the nonperturbative corrections to the perturbative expansion.

KW - Finite N 2D Yang-Mills theory

KW - Gauge/string duality

KW - Nonperturbative collections

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U2 - 10.1142/S0217732305016348

DO - 10.1142/S0217732305016348

M3 - Article

AN - SCOPUS:12144274028

VL - 20

SP - 29

EP - 41

JO - Modern Physics Letters A

JF - Modern Physics Letters A

SN - 0217-7323

IS - 1

ER -