# Two-fermion Bethe-Salpeter Equation in Minkowski Space: the Nakanishi Way

## TL;DR

This paper discusses a method to solve the two-fermion Bethe-Salpeter equation directly in Minkowski space using the Nakanishi integral representation and light-front projection, demonstrating its potential for broad applications.

## Contribution

It introduces a novel approach combining Nakanishi representation and light-front projection to solve the Bethe-Salpeter equation for fermionic systems in Minkowski space.

## Key findings

- Preliminary calculations show the method's feasibility.
- The approach has broad potential applications.
- Theoretical framework established for future work.

## Abstract

The possibility of solving the Bethe-Salpeter Equation in Minkowski space, even for fermionic systems, is becoming actual, through the applications of well-known tools: i) the Nakanishi integral representation of the Bethe-Salpeter amplitude and ii) the light-front projection onto the null-plane. The theoretical background and some preliminary calculations are illustrated, in order to show the potentiality and the wide range of application of the method.