Calculation of Ground State Energy for Confined Fermion Fields
Igor O. Cherednikov
TL;DR
This paper presents a renormalization method for calculating the ground state energy of confined fermion fields in (1+1)D, addressing singularities and providing finite energy results for a hybrid fermion-boson model.
Contribution
It introduces a novel renormalization approach for Casimir energy in confined fermion systems and computes the finite ground state energy for a specific hybrid model.
Findings
Finite ground state energy obtained for the fermion bag model.
Method effectively removes singularities at the regularization parameter.
Results depend on the size of the confining bag.
Abstract
A method for renormalization of the Casimir energy of confined fermion fields in (1+1)D is proposed. It is based on the extraction of singularities which appear as poles at the point of physical value of the regularization parameter, and subsequent compensation of them by means of redefinition of the "bare" constants. A finite ground state energy of the two-phase hybrid model of fermion bag with chiral boson-fermion interaction is calculated as the function of the bag's size.
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