Thomas-Fermi approximation for gauge theories

The Thomas-Fermi approximation for gauge theories

An effective field approximation, similar to the atomic Thomas-Fermi approach, is proposed for studying non-Abelian gauge theories which includes finitevolume effects. As applications of the formalism the equation of state for an SU(2) gauge theory with massless fermions is obtained. The extensions to realistic situations are briefly discussed. ? [email protected] † [email protected] ‡ jose.w...

Dipole Moments in Thomas-Fermi-Dirac and Thomas-Fermi Theories

Revised Thomas-Fermi approximation for singular potentials

Approximations for the many-fermion free-energy density functional that include the Thomas-Fermi (TF) form for the noninteracting part lead to singular densities for singular external potentials (e.g., attractive Coulomb). This limitation of the TF approximation is addressed here by a formal map of the exact Euler equation for the density onto an equivalent TF form characterized by a modified K...

Modified Weizsäcker Corrections in Thomas- Fermi Theories

Rational approximation to Thomas–Fermi equations

We show that a simple and straightforward rational approximation to the Thomas– Fermi equation provides the slope at origin with unprecedented accuracy and that relatively small Padé approximants are far more accurate than more elaborate approaches proposed recently by other authors. We consider both the Thomas–Fermi equation for isolated atoms and for atoms in strong magnetic fields.