P. Olesen

Vortex Line Models for Dual Strings

We call attention to the possibility of constructing field theories for the dual string. As an example, we show that a Higgs type of Lagrangian allows for vortex-line solutions, in analogy with the vortex lines in a type II superconductor. These vortex lines can approximately be identified with the Nambu string. In the strong coupling limit we speculate that the vortex lines make up all low energy phenomena. It turns out that this strong coupling limit is “super quantum mechanical” in the sense that the typical action of the theory is very small in comparison with Planks constant.

SCALING OF MULTIPLICITY DISTRIBUTIONS IN HIGH ENERGY HADRON COLLISIONS.

Abstract It is shown that asymptotically 〈 n 〉 σ n ( s ) is only a function of n /〈 n 〉, where σ n ( s ) is the multiplicity distribution. The essential assumption in deriving this result is that multiparticle inclusive cross sections obey the scaling law. It is also pointed out that the available data below 30 GeV may possibly indicate rather long-range correlations in multi-body reactions.

A QUANTUM LIQUID MODEL FOR THE QCD VACUUM Gauge and rotational invariance of domained and quantized homogeneous color fields

We show that domains are formed in a homogeneous SU(2) color magnetic field. Due to quantum fluctuations the domains have fluid properties. It is then argued that, quantum mechanically, superpositions of such domains must be considered. The resulting state is gauge and rotational invariant, in spite of the fact that the original color magnetic field breaks these invariances. We point out that in our model for the QCD vacuum, color magnetic monopoles are not confined.

On the formation of a random color magnetic quantum liquid in QCD

Abstract It is shown that a quantum state consisting of a condensate of color magnetic flux tubes is formed in QCD for a rather weak coupling g2/4π = 0.37. This result is obtained in a systematic search for energy minimizing forms of the QCD unstable magnetic mode. The magnetic field is argued to be of a “random” type with 〈H〉 = 0 and 〈H2〉 ≠ 0 at any point.

STOCHASTIC CONFINEMENT AND DIMENSIONAL REDUCTION (II). Three-dimensional SU(2) lattice gauge theory

We study 3-dimensional SU(2) lattice gauge theory with respect to dimensional reduction. By Monte Carlo calculations we find that this reduction is valid to a good approximation (within ≈10%). The adjoint string tension is found to scale approximately. We also compare the adjoint string tension with a string theory.

Three-dimensional lattice gauge theory and strings

We consider SU(2) lattice gauge theory in three dimensions. The Wilson loops are found to be well described by a simple string model in the approximate scaling region.

A Color Magnetic Vortex Condensate in QCD

Abstract It is shown that there exists a very close analogy between a lattice of vortices in a superconductor near the critical field and a condensate of color magnetic flux tubes due to the unstable mode in QCD. This analogy makes it possible to identify a dynamical Higgs field in QCD. We show that the color magnetic flux tubes are quantized in terms of the center group Z(2) in the SU(2) case. In the case of SU( N ) it is possible to select a color direction of the field such that one has Z( N ) quantization.

A hidden Higgs lagrangian in QCD

Abstract It is shown that a previously found instability for the SU(2) Yang-Mills field equation can be removed by a (1 + 1) dimensional Higgs mechanism. The SU(2) results are generalized to SU( N ), with special emphasis on SU(3).

On primordial magnetic fields of electroweak origin

Abstract We consider Vachaspatis primordial magnetic field which is generated at the electroweak phase transition. Assuming that either the gradients of the Higgs field or, alternatively, the magnetic field itself are stochastic variables with a normal distribution, we find that the resulting magnetic field has an RMS value in the present-day universe which is fully consistent with what is required for the galactic dynamo mechanism.

ANTI-SCREENING OF LARGE MAGNETIC FIELDS BY VECTOR BOSONS

Abstract In the SO(3) model with massive vector bosons we show that for magnetic fields exceeding m w 2 e there is condensation of Ws. This condensation is characterized by anti-screening. Near the critical field we show that the condensate is a lattice of vortex lines.