Framework for a theory that underlies the standard model

TL;DR

This paper proposes a new theoretical framework for the standard model, inspired by fluid dynamics equations, and identifies Lorentz-invariant Lagrangians that replicate its equations with regularized propagators.

Contribution

It introduces a physically motivated premise linking standard model equations to fluid dynamics, and constructs Lorentz-invariant Lagrangians consistent with this premise.

Findings

Lagrangians whose equations resemble fluid dynamics

Subsystems equivalent to the standard model equations

Inclusion of covariantly regularized propagators

Abstract

We put forward the following, physically motivated premise for constructing a theory that underlies the standard model in four-dimensional space-time: The Euler-Lagrange equations of such a theory formally resemble some equations of motion underlying fluid-dynamics equations in the kinetic theory of gases. Following this premise, we point out Lorentz-invariant Lagrangians whose Euler-Lagrange equations contain a subsystem equivalent to the Euler-Lagrange equations of the standard model with covariantly regularized propagators.