Spectral Boundary Conditions in the Bag Model

TL;DR

This paper introduces a simplified spectral boundary condition for fermions in the bag model that preserves chiral symmetry, is time-independent, and facilitates Hamiltonian analysis in both Minkowski and Euclidean spaces.

Contribution

It presents a reduced, time-independent spectral boundary condition that maintains chiral invariance and is suitable for Hamiltonian studies in various spacetime frameworks.

Findings

Boundary conditions are chiral invariant and time-independent.

Applicable to both Minkowski and Euclidean spaces.

Facilitates Hamiltonian treatment of fermions in the bag model.

Abstract

We propose a reduced form of spectral boundary conditions for holding fermions in the bag in a chiral invariant way. Our boundary conditions do not depend on time and allow Hamiltonian treatment of the system. They are suited for studies of chiral phenomena both in Minkowski and Euclidean spaces.