This article is intended to be a very brief review on the most basic facts and concepts of heavy fermion physics. A general overview is given as an introduction. In the following part, the mechanism leading to the formation of heavy fermions is explained briefly, and its connection to Kondo effect is emphasized. Then we talk about heavy fermion theories in more detail, where the concepts like K...

Exact results for the dynamic dimer and trimer structure factors of the one-dimensional s = 1 2 XX model in a transverse magnetic field (‖ z) are presented and discussed in relation to known exact results for the dynamic spin structure factors. In the framework of the Jordan-Wigner representation, the accessible spectrum of the dimer fluctuation operator is limited to two-fermion excitations wh...

A bound state problem in a topologically massive quantum electrodynamics is investigated by using a non-perturbative method. We formulate the Bethe-Salpeter equation for scalar bound states composed of massive fermion and anti-fermion pair under the lowest ladder approximation. In a large mass expansion for the (anti-) fermion, we derive the Schrödinger equation and solve it by a numerical meth...

We generalize the NF = 2 Schwinger model on the lattice by adding a charged scalar field. In this so-called χUφ2 model the scalar field shields the fermion charge, and a neutral fermion, acquiring mass dynamically, is present in the spectrum. We study numerically the mass of this fermion at various large fixed values of the gauge coupling by varying the effective four-fermion coupling, and find...

We consider a model with global Abelian chiral symmetry of two massless fermion fields interacting with a complex massive scalar field. We argue that the Schwinger–Dyson equations for the fermion and boson propagators admit ultraviolet-finite chiral-symmetry-breaking solutions provided the Yukawa couplings are large enough. The fermions acquire masses and the elementary excitations of the compl...

One -loop fermion determinant is discussed for the case in which dynamical chiral symmetry breaking caused by momentum dependent fermion self energy Σ(p2) take place. The obtained series generalizes the heat kernel expansion for hard fermion mass. PACS number(s): 03.65.Db, 11.10Ef, 11.30.Rd, 12.39.Fe In quantum field theory, 1-loop quantum correction of fermions is from fermion determinant. It ...

We show that quantum effects can stabilize a soliton in a model with no soliton at the classical level. The model has a scalar field chirally coupled to a fermion in 1+1 dimensions. We use a formalism that allows us to calculate the exact one loop fermion contribution to the effective energy for a spatially varying scalar background. This energy includes the contribution from counterterms fixed...

We show that quantum effects can stabilize a soliton in a model with no soliton at the classical level. The model has a scalar field chirally coupled to a fermion in 1+1 dimensions. We use a formalism that allows us to calculate the exact one loop fermion contribution to the effective energy for a spatially varying scalar background. This energy includes the contribution from counterterms fixed...

The e-e bound state spectrum of three-dimensional QED is investigated in the quenched ladder approximation to the homogeneous Bethe-Salpeter equation with fermion propagators from a rainbow approximation Schwinger-Dyson solution with a variable fermion mass. A detailed analysis of the analytic structure of the fermion propagator is performed so as to test the appropriateness of the methods empl...

It is known that the one-loop effective action of QED2 is a quadratic in the field strength when the fermion mass is zero: all potential higher order contributions beyond second order vanish. For nonzero fermion mass it is shown that this behavior persists for a general class of fields for at least one value of the fermion mass when the external field’s flux Φ satisfies 0 < |eΦ| < 2π. For QED4 ...