A quadratic curvature Lagrangian of Paw{\l}owski and R\c{a}czka: a finger exercise with MathTensor

TL;DR

This paper revisits a quadratic curvature Lagrangian model proposed by Pawłowski and Rączka, using Mathematica and MathTensor to rederive the gravitational field equations, highlighting computational approaches in theoretical physics.

Contribution

The paper demonstrates the use of computer algebra systems to rederive complex gravitational equations in a Higgsless unified interaction model.

Findings

Successful rederivation of gravitational field equations using MathTensor

Illustration of computational techniques in theoretical physics

Validation of the model's consistency through algebraic computation

Abstract

Recently Paw{\l}owski and R\c{a}czka proposed a unified model for the fundamental interactions which does not contain a physical Higgs field. The gravitational field equation of their model is rederived under heavy use of the computer algebra system Mathematica and its package MathTensor.