Chanju Kim

On the vacuum wavefunction and string tension of Yang-Mills theories in (2+1) dimensions

Abstract We present an analytical continuum calculation, starting from first principles, of the vacuum wavefunction and string tension for pure Yang-Mills theories in (2+1) dimensions, extending our previous analysis using gauge-invariant matrix variables. The vacuum wavefunction is consistent with what is expected at both high and low momentum regimes. The value of the string tension is in very good agreement with recent lattice Monte Carlo evaluations.

Planar Yang-Mills theory: Hamiltonian, regulators and mass gap

Abstract We carry out the Hamiltonian analysis of non-Abelian gauge theories in (2+1) dimensions in a gauge-invariant matrix parametrization of the fields. A detailed discussion of regularization issues and the construction of the renormalized Laplace operator on the configuration space, which is proportional to the kinetic energy, are given. The origin of the mass gap is analyzed and the lowest eigenstates of the kinetic energy are explicitly obtained; these have zero charge and exhibit a mass gap. The nature of the corrections due to the potential energy, the possibility of an improved perturbation theory and a Schrodinger-like equation for the states are also discussed.

General low-energy dynamics of supersymmetric monopoles

We derive general low energy dynamics of monopoles and dyons in N=2 and N=4 supersymmetric Yang-Mills theories by utilising a collective coordinate expansion. The resulting new kind of supersymmetric quantum mechanics incorporates the effects of multiple Higgs fields, both in the N=2 vector multiplet and hypermultiplets, having non-vanishing expectation values.

Duality in N=2 super-Liouville theory

In this paper we consider a strong-weak coupling duality of the N=2 super-Liouville field theory (SLFT). Without the self-duality found in other Liouville theories, the N=2 SLFT, we claim, is associated with a `dual action by a transformation

Manifest covariance and the Hamiltonian approach to mass gap in (2+1)-dimensional Yang-Mills theory

bto 1/b

Atmospheric neutrino problem in maximally-mixed three generations of neutrinos

where

BPS D-branes from an unstable D-brane in a curved background

b

Tales of D0 on D6 branes: matrix mechanics of identical particles

is the coupling constant. To justify our conjecture, we compute the reflection amplitudes (or two-point functions) of the (NS) and the (R) operators of the N=2 SLFT based on the conjectured dual action and show that the results are consistent with known results.

DLCQ of fivebranes, large N screening, and L**2 harmonic forms on Calabi manifolds

In earlier work we have given a Hamiltonian analysis of Yang-Mills theory in (2+1) dimensions showing how a mass gap could arise. In this paper, generalizing and covariantizing from the mass term in the Hamiltonian analysis, we obtain two manifestly covariant and gauge-invariant mass terms which can be used in a resummation of standard perturbation theory to study properties of the mass gap.

Second virial coefficient of anyons without hard core

Abstract Motivated by the indication that both the atmospheric and the solar neutrino puzzles may simultaneously be solved by (vaccuum as well as matter-induced resonant) oscillations of two generations of neutrinos with large mixing, we have analyzed the data on the atmospheric and solar neutrinos assuming that all three neutrinos are maximally mixed. It is shown that the values of Δm2 obtained from the two-generation analyses are still valid even in the three-generation scheme, i.e. the two puzzles can be solved simultaneously if Δm 31 2 ⋍ 10 −2 eV 2 for the atmospheric neutrinos and Δm 21 2 ⋍ 10 −10 eV 2 for solar neutrinos in the maximally mixed three-generation scheme.