Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2002-09-16
Nucl.Phys. B666 (2003) 361-395
Physics
High Energy Physics
High Energy Physics - Theory
42 pages, no figures; v2: typos corrected, references updated; version in press in Nucl. Phys. B
Scientific paper
10.1016/S0550-3213(03)00453-X
We point out that the permanent confinement in a compact 2+1-dimensional U(1) Abelian Higgs model is destroyed by matter fields in the fundamental representation. The deconfinement transition is Kosterlitz-Thouless like. The dual theory is shown to describe a three-dimensional gas of point charges with logarithmic interactions which arises from an anomalous dimension of the gauge field caused by critical matter field fluctuations. The theory is equivalent to a sine-Gordon-like theory in 2+1 dimensions with an anomalous gradient energy proportional to $k^3$. The Callan-Symanzik equation is used to demonstrate that this theory has a massless and a massive phase. The renormalization group equations for the fugacity $y(l)$ and stiffness parameter $K(l)$ of the theory show that the renormalization of $K(l)$ induces an anomalous scaling dimension $\eta_y$ of $y(l)$. The stiffness parameter of the theory has a universal jump at the transition determined by the dimensionality and $\eta_y$. As a byproduct of our analysis, we relate the critical coupling of the sine-Gordon-like theory to an {\it a priori} arbitrary constant that enters into the computation of critical exponents in the Abelian Higgs model at the charged infrared-stable fixed point of the theory, enabling a determination of this parameter. This facilitates the computation of the critical exponent $\nu$ at the charged fixed point in excellent agreement with one-loop renormalization group calculations for the three-dimensional XY-model, thus confirming expectations based on duality transformations.
Kleinert Hagen
Nogueira Flavio S.
Sudbo Asle
No associations
LandOfFree
Kosterlitz-Thouless-like deconfinement mechanism in the 2+1 dimensional Abelian Higgs model does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Kosterlitz-Thouless-like deconfinement mechanism in the 2+1 dimensional Abelian Higgs model, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Kosterlitz-Thouless-like deconfinement mechanism in the 2+1 dimensional Abelian Higgs model will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-291907