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Energy conservation for \(p\)-adic and SFT string equations. (English. Russian original) Zbl 1098.81085

Proc. Steklov Inst. Math. 245, 98-104 (2004); translation from Tr. Mat. Inst. Steklova 245, 107-113 (2004).
Summary: A conserved energy functional for the equations describing spatially homogeneous configurations of an open fermionic string tachyon field is constructed. For a special value of the model’s parameter \(q\), \(q=0\), this functional gives conserved energy for a \(p\)-adic string tachyon \((p=3)\). A conserved energy for equations describing interacting open and closed strings is presented in a special form that is a sum of functionals depending on open and closed string tachyon fields, respectively, which allows us to study the energy flow from open to closed strings.
For the entire collection see [Zbl 1087.46002].

MSC:

81T30 String and superstring theories; other extended objects (e.g., branes) in quantum field theory
34A35 Ordinary differential equations of infinite order
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