Discrete Light-Cone Quantization in PP-Wave Background
Kunihito Uzawa, Kentaroh Yoshida
TL;DR
This paper explores the application of discrete light-cone quantization to a scalar field theory in a ten-dimensional pp-wave background, confirming its consistency with previous effective potential results.
Contribution
It demonstrates that DLCQ can be applied to a ten-dimensional pp-wave background similarly to two-dimensional Minkowski space, extending the method's applicability.
Findings
Vacuum energy computed via DLCQ matches previous effective potential results.
DLCQ procedure is consistent in the ten-dimensional maximally supersymmetric pp-wave background.
Supports the validity of DLCQ in curved, high-dimensional backgrounds.
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].
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