On the dynamical content of MAGs

Spanish Relativity Meeting: almost 100 years after Einstein's revolution

Vitagliano, Vincenzo^1

Departamento de Física, Instituto Superior Técnico, Universidade de Lisboa-UL, Av. Rovisco Pais 1, Lisboa

1049, Portugal^1

关键词: Auxiliary-fields;    Effective field theory;    Lagrangian;    Matter field;    Nonmetricity;    Second orders;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/600/1/012043/pdf
DOI  :  10.1088/1742-6596/600/1/012043

来源: IOP

【 摘 要 】

Adopting a procedure borrowed from the effective field theory prescriptions, we study the dynamics of metric-affine theories of increasing order, that in the complete version include invariants built from curvature, nonmetricity and torsion. We show that even including terms obtained from nonmetricity and torsion to the second order density Lagrangian, the connection lacks dynamics and acts as an auxiliary field that can be algebraically eliminated, resulting in some extra interactions between metric and matter fields.