Scalar propagator in the pp-wave geometry obtained from AdS5×S5

Department of Physics, The Ohio State University, Columbus, OH 43210, USA
Nuclear Physics B (Impact Factor: 4.33). 01/2002; DOI: 10.1016/S0550-3213(02)00568-0
Source: arXiv

ABSTRACT We compute the propagator for massless and massive scalar fields in the metric of the pp-wave. The retarded propagator for the massless field is found to stay confined to the surface formed by null geodesics. The algebraic form of the massive propagator is found to be related in a simple way to the form of the propagator in flat spacetime.

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    ABSTRACT: We study quantities which are important for the realization of the holographic principle in the AdS/CFT correspondence: boundaries, geodesics and the propagators of scalar fields. They should play a role in the holographic setup in the BMN limit as well. We review the backgrounds and their relations that are relevant in the AdS/CFT correspondence and in its BMN limit. We describe the realization of the holographic principle in the AdS/CFT correspondence and summarize proposals of how to translate it in the BMN limit. We analyze the boundaries, geodesics and propagators of scalar fields in detail and observe how they behave in the limiting process from AdS5×S5 to the 10-dimensional plane wave, which is the spacetime in the BMN limit.
    Fortschritte der Physik 03/2005; 53(4):339 - 404. · 0.98 Impact Factor
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    ABSTRACT: We discuss the discrete light-cone quantization (DLCQ) of a scalar field theory on the maximally supersymmetric pp-wave background in ten dimensions. It has been shown that the DLCQ can be carried out in the same way as in the two-dimensional Minkowski spacetime. Then, the vacuum energy is computed by evaluating the vacuum expectation value of the light-cone Hamiltonian. The results are consistent with the effective potential obtained in our previous work [hep-th/0402028]. Comment: 11pages, LaTeX, to appear in Phys. Lett. B
    Physics Letters B 06/2005; · 4.57 Impact Factor
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    ABSTRACT: In this paper, a real-time formulation of light-cone pp-wave string field theory at finite temperature is presented. This is achieved by developing the thermo field dynamics (TFD) formalism in a second quantized string scenario. The equilibrirum thermodynamic quantities for a pp-wave ideal string gas are derived directly from expectation values on the second quantized string thermal vacuum. Also, we derive the real-time thermal pp-wave closed string propagator. In the flat space limit it is shown that this propagator can be written in terms of Theta functions, exactly as the zero temperature one. At the end, we show how supestrings interactions can be introduced, making this approach suitable to study the BMN dictionary at finite temperature. Comment: 27 pages, revtex4

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