Speaker
Description
We know that the massive symmetric rank-two tensor is closely related to the linear theory of massive gravity, within the framework of open string theory. In the present work we develop a family of gauge fixing conditions to study the divergence problem of the Siegel-Zwiebach (SZ) propagator in the massless limit. The SZ Lagrangian describes a massive rank two tensor interacting with a vector and a scalar fields in the critical dimension of the bosonic string. In the Fierz-Pauli (FP)
gauge condition, the SZ Lagrangin changes to a new Lagrangian, called FP Lagrangian, which was proposed to describe the massive symmetric spin two particle. In the massless case, the FP Lagrangian has been identified as the linearized Lagrangian of Einstein’s gravity. But it has been found that the propagator of FP Lagrangian in the massless limit diverges, making it unsuitable for studying massive symmetric rank two particle in small-mass limit. The new family of gauge-fixing
conditions worked out here is shown to be capable of addressing this issue, neatly connecting the FP and transverse-traceless (TT) gauge conditions. It has been found that the propagator is nonsingular in the massless limit of SZ Lagrangian in TT gauge which makes it appropriate for studying massive spin two particle.
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