678 research outputs found
3D Georgi-Glashow model and confining strings at zero and finite temperatures
In this review, we discuss the confining and finite-temperature properties of
the 3D SU(N) Georgi-Glashow model, and of 4D compact QED. At zero temperature,
we derive string representations of both theories, thus constructing the
SU(N)-version of Polyakov's theory of confining strings. We discuss the
geometric properties of confining strings, as well as the appearance of the
string theta-term from the field-theoretical one in 4D, and k-string tensions
at N larger than 2. In particular, we point out the relevance of negative
stiffness for stabilizing confining strings, an effect recently re-discovered
in material science. At finite temperature, we present a derivation of the
confining-string free energy and show that, at the one-loop level and for a
certain class of string models in the large-D limit, it matches that of QCD at
large N. This crucial matching is again a consequence of the negative
stiffness. In the discussion of the finite-temperature properties of the 3D
Georgi-Glashow model, in order to be closer to QCD, we mostly concentrate at
the effects produced by some extensions of the model by external matter fields,
such as dynamical fundamental quarks or photinos, in the supersymmetric
generalization of the model.Comment: 79 pages, LaTeX2e, uses ws-procs975x65.cls, no figures, minor
editorial corrections are included. To be published in the Ian Kogan Memorial
Collection "From Fields to Strings: Circumnavigating Theoretical Physics",
World Scientific, 200
Emergent Higgsless Superconductivity
We present a new Higgsless model of superconductivity, inspired from anyon
superconductivity but P- and T-invariant and generalizable to any dimension.
While the original anyon superconductivity mechanism was based on
incompressible quantum Hall fluids as average field states, our mechanism
involves topological insulators as average field states. In D space dimensions
it involves a (D-1)-form fictitious pseudovector gauge field which originates
from the condensation of topological defects in compact low-energy effective BF
theories. There is no massive Higgs scalar as there is no local order
parameter. When electromagnetism is switched on, the photon acquires mass by
the topological BF mechanism. Although the charge of the gapless mode (2) and
the topological order (4) are the same as those of the standard Higgs model,
the two models of superconductivity are clearly different since the origins of
the gap, reflected in the high-energy sectors are totally different. In 2D this
type of superconductivity is explicitly realized as global superconductivity in
Josephson junction arrays. In 3D this model predicts a possible phase
transition from topological insulators to Higgsless superconductors.Comment: Prepared for the proceedings of the XII Quark Confinement and the
Hadron Spectrum, 29 August to 3 September 2016, Thessaloniki, Greece. arXiv
admin note: substantial text overlap with arXiv:1408.506
SU(N) Antiferromagnets and Strongly Coupled QED: Effective Field Theory for Josephson Junctions Arrays
We review our analysis of the strong coupling of compact QED on a lattice
with staggered Fermions. We show that, for infinite coupling, compact QED is
exactly mapped in a quantum antiferromagnet. We discuss some aspects of this
correspondence relevant for effective field theories of Josephson junctions
arrays.Comment: 33 pages,latex,Proceedings of "Common Trends in Condensed Matter and
High Energy Physics",DFUPG 1/9
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