Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2005-08-17
JHEP 0512 (2005) 017
Physics
High Energy Physics
High Energy Physics - Theory
27 pages; added references, acknowledgments, missing normalization in equations 2.3 - 2.8, also cleaned up notation, and added
Scientific paper
10.1088/1126-6708/2005/12/017
We investigate the one-loop energy shift E to certain two-impurity string states in light-cone string field theory on a plane wave background. We find that there exist logarithmic divergences in the sums over intermediate mode numbers which cancel between the cubic Hamiltonian and quartic ``contact term''. Analyzing the impurity non-conserving channel we find that the non-perturbative, order g_2^2 sqrt(lambda') contribution to E/mu predicted in hep-th/0211220 is in fact an artifact of these logarithmic divergences and vanishes with them, leaving an order g_2^2 lambda' contribution. Exploiting the supersymmetry algebra, we present a form for the energy shift which appears to be manifestly convergent and free of non-perturbative terms. We use this form to argue that E/mu receives order g_2^2 lambda' contributions at every order in intermediate state impurities.
Grignani Gianluca
Orselli Marta
Ramadanovic Bojan
Semenoff Gordon W.
Young Donovan
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