A Study of Non-Canonical Lagrangian

Abstract

Non-canonical Lagrangian (Lagrangian with non-quadratic kinetic term) has been studied in the context of cosmology. In this work, the non-canonical Lagrangian with potential energy term has been discussed. We have obtained the periodic and solitary wave solutions for certain types of potential. The solutions obtained here may provide some new direction in the theory of phase transition, quantum field theory and related phenomena.

Noncanonical Domain Wall as a Unified Model of Dark Energy and Dark Matter: I. Cosmic Dynamics 1,2

“…Therefore, for analytical purposes, we will focus on the motion of a one-dimensional field. Lagrangian (2.2) is invariant under Lorentz transformation [25]. Therefore, for any potential, the time-dependent solution of the Bogomolnyi Equation (2.14) can be obtained by performing a Lorentz boost to the solution of the equation.…”