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Bulk Scalar Field and Brane Interaction in RS Model | Scalar Field Mass Matrix Considerations

Explore effects of bulk and brane scalar field interactions in RS model, analyzing scalar field mass matrix in achieving research goals. Consider dynamics between quintessence and inflaton for comprehensive universe evolution study.

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Bulk Scalar Field and Brane Interaction in RS Model | Scalar Field Mass Matrix Considerations

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  1. Date:100104 F97222009 劉彥緯 weekly report 100104

  2. Bulk scalar field in RS I model: -Walter D. Goldberger and Mark Wise Phys Rev D 60, 107505 (1999) (RS I metric ) free scalar field in the bulk: m is of order KK decomposition: effective four dimensional KK modes: the light modes have masses in the TeV range

  3. I also consider that if there is a scalar field on our brane and an interaction term, assume • The authors in Reference [8] mentioned an simple interaction form : use Reference [8] - Kazuya Koyama, Andrew Mennim, and David Wands Phys Rev D 72, 064001 (2005)

  4. After field renormalization, the effective four-dimensional action is : • (problem?) The mass matrix for our goal:

  5. Discussion • I considered a toy model that there exists a bulk scalar field and a brane scalar field, and also an interaction between bulk and brane, but the mass matrix (20) might not achieve our goal. • I should also consider whether the scalar field affect the geometry . • If we want to relate the quintessence with inflaton, the evolution of the universe should be considered.

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