Papers of W. Nahm
|The interaction energy of t'Hooft monopoles in the Prasad-Sommerfeld limit||W. Nahm||In the Prasad-Somerfield limit of vanishing Higgs mass, the size of 't Hooft monopoles increases when they interact with each other. For monopoles of like charges, their interaction energy decreases at least with the fourth power of the distance.||Aug 1978||CERN-TH.2550, Phys. Lett. B 79:426,1978||Link|
|Interacting monopoles||W. Nahm||The Bogomolny equation for interacting monopoles of like charge in tne case of vanishing Higgs mass is fulfilled , by an asymptotic expansion in powers of the inverse monopole distance. Consequently their interaction energy decreases faster than any power. It is zero if the expansion is summable. The degrees of freedom for the multi-monopole system are determined. The additional degrees of freedom expected in case of a hidden non-zero spin are absent. But there emerges a dual gauge group, whose generator forms, together with local translations, a multiplet of an outer automorphism group SU(2).||Mar 1979||CERN-TH.2642, Phys. Lett. B 85:373,1979.||Link|
|A simple formalism for the BPS monopole||W. Nahm||
A simple formalism for the BPS monopole is obtained by generalizing the ADHM construction of multi-instantons to a Hilbert space. Both the potential itself and the Green's functions for different isospin can be obtained with very little effort from the instanton formulae.
Talk given at the International Summer Institute on Theoretical Physics Freiburg, September 1981.
|On abelian self-dual multimonopoles||W. Nahm||Abelian self-dual monopoles are Dirac monopoles which also act as the source of a scalar field equal in strength to the potential of the magnetic field. The static field generated by several such monopoles with arbitrary positions can be described by adapting the ADHM formalism developed to instantons. In particular one obtains an exact expression for the Green function of the covariant Laplace operator.||Mar 1980||CERN-TH. 2835, Phys.Lett. B 93 (1980) 42||Link|
|Gribov copies and instantons||W. Nahm||Gribov copies are closely related to instanton effects. Thus they are of semi-classical nature and have nothing to do with confinement.||Jul 1981||CERN-TH.3114||Link||
Presented at 4th Warsaw Symp. on Elementary Particle Physics, Kazimierz, Poland, May 25-30, 1981.
|All self-dual multimonopoles for arbitrary gauge group||W. Nahm||The ADHM formalism is adapted to self- dual multimonopoles for arbitrary charge and arbitrary gauge group. Each configuration is characterized by a solution of a certain ordinary non-linear differential equation, which has chances to be completely integrable. For axially symmetric configurations it reduces to the integrable Toda lattice equations. The construction of the potential requires the solution of a further ordinary linear differential equation.||Sep 1981||CERN-TH.3172||Link|
|Multimonopoles in the ADHM construction||W. Nahm||No abstract||Dec 1981||IC/81/238||Link|
|The algebraic geometry of multimonopoles||W. Nahm||Multimonopole solutions of the Bogomolny equation are treated by a transform to an ordinary differential equation. The solution of this equation yields algebraic curves and holomorphic line bundles over them.||Nov 1982||BONN-HE-82-30||Link||
Presented at the XIth International Colloquium on Group Theoretical Methods in Physics, Istanbul, August 1982.
|Monopoles in quantum field theory||N.S. Craigie, P. Goddard, W. Nahm||Not yet available||1982||
Proceedings, Monopole Meeting, Trieste, Italy, December 11-15, 1981.
|The construction of all self-dual multimonopoles by the ADHM method||W. Nahm||No abstract||1982||IC/82/16||Link||
Trieste 1981, "Proceedings, Monopoles In Quantum Field Theory".
|Self-dual monopoles and calorons||W. Nahm||An elementary proof for the ADHM construction is given both for instantons and for self-dual monopoles and calorons. The description of calorons leads to the same nonlinear ordinary differential equation as in the case of monopoles, but with cyclic boundary conditions. Asymptotically, calorons look like monopoles. There one obtains a description in terms of a reduced gauge group. If extended over all space, one obtains singularities on algebraic curves given by the envelope of the spectral curve.||Sep 1983||BONN-HE-83-16||Link|
|Do magnetic monopoles catalyse proton decay?||W. Nahm||Not yet available||1983||Phys.Bl.39:68,1983||