Biomedical subjects

Alexios P Polychronakos

Publications and source records attributed to Alexios P Polychronakos.

2 recordsLinked to original sources

PubMed2006

Bosonization in higher dimensions via noncommutative field theory.

We propose the bosonization of a many-body fermion theory in D spatial dimensions through a noncommutative field theory on a (2D-1)-dimensional space. This theory leads to a chiral current algebra over the noncommutative space and reproduces the correct perturbative Hilbert space and excitation energies for the fermions. The validity of the method is demonstrated by bosonizing a two-dimensional gas of fermions in a harmonic trap.

Journal Article↗

PubMed2002

Calogero-Moser models with noncommutative spin interactions.

We construct integrable generalizations of the elliptic Calogero-Sutherland-Moser model of particles with spin, involving noncommutative spin interactions. The spin coupling potential is a modular function and, generically, breaks the global spin symmetry of the model down to a product of U(1) phase symmetries. Previously known models are recovered as special cases.

Journal Article↗