Multi - instanton calculus versus exact results in N=2 supersymmetric QCD

Harano, Toshiyuki; Sato, Masatoshi

doi:10.1016/S0550-3213(96)00599-8

Multi - instanton calculus versus exact results in N=2 supersymmetric QCD

Toshiyuki Harano
(
- Kyoto U.
)
,
Masatoshi Sato
(
- Kyoto U.
)

Aug, 1996

32 pages

Published in:

Nucl.Phys.B 484 (1997) 167-195

e-Print:

hep-th/9608060 [hep-th]

DOI:

10.1016/S0550-3213(96)00599-8

Report number:

KUNS-1403

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Abstract:

Microscopic tests of the exact results are performed in

N=2

supersymmetric

SU(2)

QCD. We present the complete construction of the multi-instanton in

N=2

supersymmetric QCD. All the defining equations of the super instanton are reduced to the algebraic equations. Using this result, we calculate the two-instanton contribution

{\cal F}_2

to the prepotential

{\cal F}

for the arbitrary

N_f

theories. For

N_f=0,1,2

, instanton calculus agrees with the prediction of the exact results, however, for

N_f=3,4

, we find discrepancies between them. We propose improved curves of the exact results for the massive

N_f=3

and massless

N_f=4

theories.

11.30.Pb
11.15.Kc
11.15.Tk
12.38.Aw
N = 2 supersymmetric QCD
Multi-instanton
Exact result
gauge field theory: SU(2)
supersymmetry
field theory: instanton

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