2011/05/23 by Damien P. George, George, Damien P.
Engineering · Mathematics · Physics and Astronomy · #Basis (linear algebra) #Computer science #FOS: Physical sciences #Field (mathematics) #General relativity #Geometry #Geophysics and Sensor Technology #Group (periodic table) #High Energy Physics - Phenomenology (hep-ph) #High Energy Physics - Theory (hep-th) #Homogeneous space #Lie group #Mathematical Physics (math-ph) #Mathematics #Model building #Numerical methods for differential equations #Particle Accelerators and Free-Electron Lasers #Physics #Point (geometry) #Pure mathematics #Quantum gravity #Quantum mechanics #Spacetime symmetries #Standard Model (mathematical formulation) #Symmetry (geometry) #Theoretical physics #hep-ph #hep-th #math-ph #math.MP
paper · pdf · doi:10.48550/arxiv.1105.4604
published in arXiv (Cornell University) (Cornell University) · 33 pages
arxiv created 2011/05/23 · openalex publication_date 2011/05/23 · arxiv updated 2011/05/25 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We outline a new, systematic way of constructing and analysing field theories, where all possible continuous symmetries of a given model are derived using the method of Lie point symmetries. If the model has free parameters, and relationships amongst any of these parameters yields an enhanced symmetry, then all such relationships are found, along with the resulting symmetry group. We discuss how the method can be applied to the standard model and beyond, to direct the search for a more predictive field theory. The method handles compact and non-compact continuous groups, spontaneously broken symmetries, and is also applicable to general relativity.