## 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