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arXiv · 1208.6206

Energy from the gauge invariant observables

Takayuki Baba·Nobuyuki Ishibashi
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Abstract

For a classical solution |Psi> in Witten's cubic string field theory, the gauge invariant observable is conjectured to be equal to the difference of the one-point functions of the closed string state corresponding to V, between the trivial vacuum and the one described by |Psi>. For a static solution |Psi>, if V is taken to be the graviton vertex operator with vanishing momentum, the gauge invariant observable is expected to be proportional to the energy of |Psi>. We prove this relation assuming that |Psi> satisfies equation of motion and some regularity conditions. We discuss how this relation can be applied to various solutions obtained recently.

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Takayuki Baba, Nobuyuki Ishibashi. 2013-03-19. Energy from the gauge invariant observables. https://doi.org/10.1007/jhep04(2013)050

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