2018/03/31 by Victor Guada, Alessio Maiezza, Miha Nemevšek · 35 citations
Mathematics · Physics and Astronomy · #Action (physics) #Atomic and Subatomic Physics Research #Classical mechanics #Computer science #Cosmology and Gravitation Theories #Field (mathematics) #Geometry #Mathematical analysis #Mathematics #Physics #Piecewise #Piecewise linear function #Pure mathematics #Quantum #Quantum gravity #Quantum mechanics #Quantum tunnelling #Quantum, superfluid, helium dynamics #Scalar (mathematics) #Scalar field #Scalar field theory #Statistical physics #Theoretical physics #gr-qc #hep-ph #hep-th
paper · pdf · doi:10.1103/physrevd.99.056020
published in Physical review. D/Physical review. D. 99(5) (American Physical Society) · 15 pages, 12 figures, polygonal bounces extended to multi-fields, computation of the prefactor, added references
arxiv created 2019/01/28 · openalex publication_date 2019/03/29 · arxiv updated 2019/04/03 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We propose a new approach for computing tunneling rates in quantum or thermal field theory with multiple scalar fields. It is based on exact analytical solutions of piecewise linear potentials with many segments that describes any given potential to arbitrary precision. The method is first developed for the single field case in three and four space-time dimensions and demonstrated on examples of classical potentials as well as the calculation of quantum fluctuations. A systematic expansion of the potential beyond the linear order is considered, taking into account higher order corrections, which paves the way for multiple scalar fields. We thereby provide a fast semianalytical tool for evaluating the bounce action for theories with an extended scalar sector.