Abstract
We analyze the effect of heavy fundamentally charged particles on the finite temperature deconfining phase transition in the (2+1)-dimensional Georgi–Glashow model. We show that in the presence of fundamental matter the transition turns into a crossover. The near critical theory is mapped onto the 2-dimensional Ising model in an external magnetic field. Using this mapping we determine the width of the crossover region as well as the specific heat as a function of the fundamental mass.
Highlights
We analyze the effect of heavy fundamentally charged particles on the finite temperature deconfining phase transition in the 2+1 dimensional Georgi-Glashow model
Significant progress has been made in understanding the deconfining phase transition in 2+1 dimensions
The transition in the SU (2) Georgi-Glashow model has been analysed in detail: the order of the phase transition as well as the universality class have been established explicitly without recourse to universality arguments, and the dynamics of the phase transition was given a simple interpretation in terms of the restoration of magnetic symmetry [1]
Summary
We analyze the effect of heavy fundamentally charged particles on the finite temperature deconfining phase transition in the 2+1 dimensional Georgi-Glashow model. Let us first summarize what is known [1, 5] about this theory without the heavy fundamental matter field Φ. The dimensionally reduced theory in addition to the terms present in (8) contains contributions due to the finite density of W bosons [1].
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