DYNAMICS WITH INFINITE NUMBER OF DERIVATIVESFOR LEVEL TRUNCATED NON-COMMUTATIVEINTERACTION

摘要

We study dynamics in field models appearing in a level-truncation scheme for non-commutatively interacting string field theory. Distinguishing property of such models is that the corresponding equations of motion contain infinite number of derivatives. We study existence of physically interesting solutions of these equa-tions in special approximation for interacting open-closed string model. We also present a general relation for stress tensor as well as energy conservation law for the case of arbitrary (finite) number of levels. Recent applications of such models include cosmological inflation and dark energy problems.