A systematic approach to model building
Abstract
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 noncompact continuous groups, spontaneously broken symmetries, and is also applicable to general relativity.
 Publication:

arXiv eprints
 Pub Date:
 May 2011
 DOI:
 10.48550/arXiv.1105.4604
 arXiv:
 arXiv:1105.4604
 Bibcode:
 2011arXiv1105.4604G
 Keywords:

 High Energy Physics  Theory;
 High Energy Physics  Phenomenology;
 Mathematical Physics
 EPrint:
 33 pages