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Charges in gauge theories.

McMullan, David (2007)

SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]

Effective bosonic degrees of freedom for one-flavour chromodynamics

J. Kijowski, G. Rudolph, M. Rudolph (1998)

Annales de l'I.H.P. Physique théorique

Effects of quark interactions on dynamical chiral symmetry breaking by a magnetic field.

Hiller, Brigitte, Osipov, Alexander A., Blin, Alex H., Da Providência, João (2008)

SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]

Functional integral approaches to the bosonization of effective multi-quark interactions with $U_{A} (1)$ breaking.

Hiller, Brigitte, Osipov, Alexander A., Bernard, Véronique, Blin, Alex H. (2006)

SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]

Gauge transformations and inverse quantum scattering with medium-range magnetic fields.

Jung, Wolf (2005)

Mathematical Physics Electronic Journal [electronic only]

Hartree-Fock theory in nuclear physics

D. Gogny, P. L. Lions (1986)

ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique

Lattice field theory with the sign problem and the maximum entropy method.

Imachi, Masahiro, Shinno, Yasuhiko, Yoneyama, Hiroshi (2007)

SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]

Mathematical analysis of a generalized chiral quark soliton model.

Arai, Asao (2006)

SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]

New generating functions for multivariate biorthogonal polynomials on the $N$ -sphere.

Exton, Harold (1995)

Journal of Applied Mathematics and Stochastic Analysis

Self-localized quasi-particle excitation in quantum electrodynamics and its physical interpretation.

Feranchuk, Ilya D., Feranchuk, Sergey I. (2007)

SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]

Spatial patterns for the three species Gross-Pitaevskii system in the plane.

Caliari, Marco, Squassina, Marco (2008)

Electronic Journal of Differential Equations (EJDE) [electronic only]

Weak interaction limit for nuclear matter and the time-dependent Hartree-Fock equation

Bernard Ducomet (2010)

Applications of Mathematics

We consider an effective model of nuclear matter including spin and isospin degrees of freedom, described by an $N$ -body Hamiltonian with suitably renormalized two-body and three-body interaction potentials. We show that the corresponding mean-field theory (the time-dependent Hartree-Fock approximation) is “exact” as $N$ tends to infinity.