1998/06/11 by Eduardo Guendelman, E. I. Guendelman, Guendelman, E. I. +3 · 1 citation
Mathematics · Physics and Astronomy · #Algebraic and Geometric Analysis #Cosmology and Gravitation Theories #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #Relativity and Gravitational Theory #gr-qc
paper · pdf · doi:10.48550/arxiv.gr-qc/9806053
10 pages
arxiv created 1998/06/11 · openalex publication_date 1998/06/11 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We consider an action which consists of two terms: the first S1=∫ L1Φd4x and the second S2=∫ L2√(-g)d4x where Φis a measure which has to be determined dynamically. S1 satisfies the requirement that the transformation L1→ L1+const does not effect equations of motion. In the first order formalism, a constraint appears which allows to solve χ=Φ/√(-g). Then, in a true vacuum state (TVS), χ→∞ and in the conformal Einstein frame no singularities are present, the energy density of TVS is zero without fine tuning of any scalar potential in S1 or S2. When considering only a linear potential for a scalar field ϕin S1, the continuous symmetry ϕ→ϕ+const is respected. Surprisingly, in this case SSB takes place while no massless ("Goldstone") boson appears.