TWO-LOOP EULER–HEISENBERG EFFECTIVE ACTIONS FROM CHARGED OPEN STRINGS

doi:10.1142/s0217751x06025110

TWO-LOOP EULER–HEISENBERG EFFECTIVE ACTIONS FROM CHARGED OPEN STRINGS

2012-01-25

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DOI：10.1142/s0217751x06025110

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We present the multiloop partition function of open bosonic string theory in the presence of a constant gauge field strength, and discuss its low-energy limit. The result is written in terms of twisted determinants and differentials on higher-genus Riemann surfaces, for which we provide an explicit representation in the Schottky parametrization. In the field theory limit, we recover from the string formula the two-loop Euler–Heisenberg effective action for adjoint scalars minimally coupled to the background gauge field.

TWO-LOOP EULER–HEISENBERG EFFECTIVE ACTIONS FROM CHARGED OPEN STRINGS

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