String representation of Abelian Higgs theory and Aharonov-Bohm effect on the lattice

@article{MIPolikarpov1993StringRO,
  title={String representation of Abelian Higgs theory and Aharonov-Bohm effect on the lattice},
  author={M.I.Polikarpov and U. Wiese and Mikhail A. Zubkov},
  journal={Physics Letters B},
  year={1993},
  volume={309},
  pages={133-138}
}
Abstract The partition function of the 4D lattice Abelian Higgs theory is represented as the sum over world sheets of Nielsen-Olesen strings. The creation and annihilation operators of the strings are constructed. The topological long-range interaction of the strings and charged particles is shown to exist; it is proportional to the linking number of the string world sheet and particle world trajectory. 
Aharonov–Bohm effect in lattice Abelian Higgs theory
Abstract We study a field-theoretical analogue of the Aharonov–Bohm effect in two-, three- and four-dimensional Abelian Higgs models; the corresponding topological interaction is proportional to theExpand
Dyon condensation and the Aharonov-Bohm effect
We derive the string representation of the Abelian Higgs theory in which dyons are condensed. It happens that in such a representation the topological interaction exists in the expectation value ofExpand
Aharonov-Bohm effect in 3D Abelian Higgs theory
Abstract We study a field-theoretical analogue of the Aharonov-Bohm effect in the 3D Abelian Higgs Model: the corresponding topological interaction is proportional to the linking number of the vortexExpand
Various abelian projections of SU(2) lattice gluodynamics and Anaronov-Bohm effect in the field theory
Abstract We show that in general abelian projection of lattice gluodynamics it is not only monopoles but also strings are present. Both these topological excitations may be responsible for theExpand
Strings and Aharonov–Bohm effect in Abelian Higgs model
Abstract We investigate numerically the properties of the Abrikosov–Nielsen–Olesen strings in 4 D Abelian Higgs model. The fractal dimension D f of the vortex strings was found to be large in theExpand
Fermionic string from Abelian Higgs model with monopoles and Θ-term
The four-dimensional Abelian Higgs model with monopoles and Θ-term is considered in the limit of large mass of the Higgs boson. We show that for Θ=2π the theory is equivalent, at large distances, toExpand
The role of vortex strings in the non-compact lattice Abelian Higgs model
Abstract The non-compact lattice version of the Abelian Higgs model is studied in terms of its topological excitations. The Villain form of the partition function is represented as a sum overExpand
Infrared behaviour of the gauge boson propagator in a confining theory
Abstract We study the gauge boson propagator in the dual Abelian Higgs theory which confines electric charges. The confinement is due to dual Abrikosov-Nielsen-Olesen strings. We show that theExpand
Three-dimensional Abelian Higgs model: Confinement and the Aharonov-Bohm effect
The Aharonov-Bohm effect in a lattice noncompact Abelian Higgs model in 2+1 space-time is studied. It is shown numerically and analytically that this effect results in a long-range logarithmicExpand
Quantum fluctuations in the dual Higgs model with dual Dirac strings
Abstract In the Abelian dual Higgs model with dual Dirac strings suggested by Faber et al. [Nucl. Phys. B 475 (1996) 73] the quantum fluctuations of the dual-vector and the Higgs fields around anExpand
...
1
2
3
4
5
...

References

SHOWING 1-10 OF 35 REFERENCES
Aharonov-Bohm interaction of cosmic strings with matter.
It is shown that generically cosmic strings will interact with matter via their pure gauge potential. The cross section is purely geometrical, and does not vanish in the limit of zero string size.Expand
Quantum field theory of non-abelian strings and vortices
We develop an operator formalism for investigating the properties of non-abelian cosmic strings (and vortices) in quantum field theory. Operators are constructed that introduce classical stringExpand
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 theExpand
New order parameters for non-abelian gauge theories
Abstract In recent work a new order parameter has been constructed for abelian gauge theories in the presence of matter, both in the continuum and on the lattice. The order parameter directly probesExpand
Phase transitions in Abelian lattice gauge theories
We study the Euclidean partition function of Abelian lattice (gauge) theories in various dimensions. Using generalizations of mathematical methods developed recently to study the XY model in twoExpand
Discrete quantum hair on black holes and the non-abelian Aharonov-Bohm effect
In an abelian Higgs model where U(1) is broken to Zp by a condensate of charge pe, the U(1) charge QV in a finite volume V is an observable, but charge is screened, so 〈 QV 〉 falls exponentially toExpand
Soliton quantization in lattice field theories
Quantization of solitons in terms of Euclidean region functional integrals is developed, and Osterwalder-Schrader reconstruction is extended to theories with topological solitons. The quantizationExpand
GAUGE-INVARIANT FORMULATION OF QUANTUM ELECTRODYNAMICS
Electrodynamics is formulated so as to be manifestly invariant under general gauge transformations, through being built up entirely in terms of gauge-invariant dynamical variables. The quantizationExpand
Local discrete symmetry and quantum-mechanical hair
Abstract A charge operator is constructed for a quantum field theory with an abelian discrete gauge symmetry, and a non-local order parameter is formulated that specifies how the gauge symmetry isExpand
Discrete gauge symmetry in continuum theories.
TLDR
It is pointed out that local symmetry invariance can masquerade as discrete global symmetries to an observer equipped with only low-energy probes, and black holes can carry discrete gauge charges, a form of nonclassical ``hair. Expand
...
1
2
3
4
...