TY - JOUR

T1 - Nonperturbative effects on the string world sheet (II)

AU - Dine, M.

AU - Seiberg, N.

AU - Wen, X. G.

AU - Witten, E.

N1 - Funding Information:
The work of M.D. was supported in part by DOE grant DE-AC02-83ER40107, and by an Alfred P. Sloan Foundation fellowship; that of N.S. by NSF grant PHY-82-17352 and that of X.-G.W. and E.W. by NSF grant PHY-80-19754.

PY - 1987

Y1 - 1987

N2 - Nonperturbative effects in the sigma model describing string propagation in curved space are considered. While the space-time superpotential is not renormalized in sigma-model perturbation theory, we show that it is changed by nonperturbative effects. Instantons can generate tadpoles and thus destabilize certain vacuum configurations, they can give masses to particles which are massless in perturbation theory and they can modify Yukawa couplings and high dimension operators in the superpotential. We consider the effects of perturbation theory around the instanton and multi-instanton configurations. Certain effects (pairing of particles in 27 and in 27 and tadpoles in models with the spin connection equal to the gauge-connection) vanish in the instanton approximation. We argue that this is an exact result.

AB - Nonperturbative effects in the sigma model describing string propagation in curved space are considered. While the space-time superpotential is not renormalized in sigma-model perturbation theory, we show that it is changed by nonperturbative effects. Instantons can generate tadpoles and thus destabilize certain vacuum configurations, they can give masses to particles which are massless in perturbation theory and they can modify Yukawa couplings and high dimension operators in the superpotential. We consider the effects of perturbation theory around the instanton and multi-instanton configurations. Certain effects (pairing of particles in 27 and in 27 and tadpoles in models with the spin connection equal to the gauge-connection) vanish in the instanton approximation. We argue that this is an exact result.

UR - http://www.scopus.com/inward/record.url?scp=0011523461&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0011523461&partnerID=8YFLogxK

U2 - 10.1016/0550-3213(87)90383-X

DO - 10.1016/0550-3213(87)90383-X

M3 - Article

AN - SCOPUS:0011523461

SN - 0550-3213

VL - 289

SP - 319

EP - 363

JO - Nuclear Physics, Section B

JF - Nuclear Physics, Section B

IS - C

ER -