Confinement in a Higgs model on R3×S1

@article{Nishimura2012ConfinementIA,
  title={Confinement in a Higgs model on R3×S1},
  author={Hiromichi Nishimura and Michael C. Ogilvie},
  journal={Physical Review D},
  year={2012},
  volume={85},
  pages={065021}
}
We determine the phase structure of an SU(2) gauge theory with an adjoint scalar on $R^{3}\times S^{1}$ using semiclassical methods. There are two global symmetries: a $Z(2)_{H}$ symmetry associated with the Higgs field and a $Z(2)_{C}$ center symmetry. We analyze the order of the deconfining phase transition when different deformation terms are used. After finding order parameters for the global symmetries, we show that there are four distinct phases: a deconfined phase, a confined phase, a… Expand

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References

SHOWING 1-10 OF 59 REFERENCES
Phase diagrams of lattice gauge theories with Higgs fields
We study the phase diagram of lattice gauge theories coupled to fixed-length scalar (Higgs) fields. We consider several gauge groups: Z/sub 2/, U(1), and SU(N). We find that when the Higgs fieldsExpand
On the Phase Transition Towards Permanent Quark Confinement
In quantized gauge field theories one can introduce sets of operators that modify the gauge-topological structure of the fields but whose physical effect is essentially local. In 2 + 1 dimensionalExpand
Phase diagrams of SU(N) gauge theories with fermions in various representations
We minimize the one-loop effective potential for SU(N) gauge theories including fermions with finite mass in the fundamental (F), adjoint (Adj), symmetric (S), and antisymmetric (AS) representations.Expand
Magnetic bion condensation: A new mechanism of confinement and mass gap in four dimensions
In recent work, we derived the long-distance confining dynamics of certain QCD-like gauge theories formulated on small S{sup 1}xR{sup 3} based on symmetries, an index theorem, and Abelian duality.Expand
Polyakov―Nambu―Jona-Lasinio model for adjoint fermions with periodic boundary conditions
Recent work on QCD-like theories has shown that the addition of adjoint fermions obeying periodic boundary conditions to gauge theories on ${R}^{3}\ifmmode\times\else\texttimes\fi{}{S}^{1}$ can leadExpand
Gluino condensate and magnetic monopoles in supersymmetric gluodynamics
Abstract We examine supersymmetric SU(N) gauge theories on R 3 × S 1 with a circle of circumference β. These theories interpolate between four-dimensional N = 1 pure gauge theory for β = ∞ andExpand
Abelian duality, confinement, and chiral-symmetry breaking in a SU(2) QCD-like theory.
We analyze the vacuum structure of SU(2) QCD with multiple massless adjoint representation fermions formulated on a small spatial S{sup 1}xR{sup 3}. The absence of thermal fluctuations, and the factExpand
Magnetic monopole dynamics, supersymmetry, and duality
Abstract We review the properties of BPS, or supersymmetric, magnetic monopoles, with an emphasis on their low-energy dynamics and their classical and quantum bound states. After an overview ofExpand
Quark confinement and topology of gauge theories
Abstract The phenomenon of quark confinement is known to be connected with the restoration of apparently broken gauge symmetry. In this paper we focus on a special mechanism which is responsible forExpand
Monopoles, affine algebras and the gluino condensate
We examine the low-energy dynamics of four-dimensional supersymmetric gauge theories and calculate the values of the gluino condensate for all simple gauge groups. By initially compactifying theExpand
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3
4
5
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