The Sea in Soviet Strategy

We investigate numerically the properties of the Abrikosov -Nielsen-Olesen strings in 4D abelian Higgs model. The fractal dimension D f of the vortex strings was found to be large in the Coulomb phase and it is close to 2 in the Higgs phase. We also show that the Wilson loop for non-integer charges is correlated with the linking number of the vortex string world sheets and the test particle world trajectory. We find that this topological (Aharonov-Bohm) interaction gives the main contribution to the Wilson loop quantum average for non-integer test charges in the vicinity of the Coulomb-Higgs phase transition.

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“…The ANO strings are extracted from the field configurations as follows [10,5]: * σ = * dn , (dϕ + A + 2πn) ∈ (−π, π] , n ∈ Z Z .…”

Section: Numerical Resultsmentioning

confidence: 99%

Strings and Aharonov–Bohm effect in Abelian Higgs model

et al. 1998

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“…In its Higgs phase directly related to the phenomenological Ginzburg-Landau model of superconductivity [9] it exhibits well-localized multi-vortex solutions with non-trivial integer topological charge [10][11][12][13]. On the lattice the model and its topological effects have been studied in two [14,15] as well as in four dimensions [16,17].…”

Section: Introductory Remarksmentioning

confidence: 99%

Dual simulation of the two-dimensional lattice U(1) gauge-Higgs model with a topological term

2015

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The 2-dimensional U(1) gauge-Higgs model with a topological term is a simple example of a lattice field theory where the complex action problem comes from the topological term. We show that the model can be exactly rewritten in terms of dual variables, such that the dual partition sum has only real and positive contributions. Using suitable algorithms the dual formulation allows for Monte Carlo simulations at arbitrary values of the vacuum angle. We demonstrate the feasibility of the dual simulation and study the continuum limit, as well as the phase diagram of the system.While working on the reply to the referee report the sad news reached us that our friend and co-author Michael Müller-Preussker has passed away on 12th of October 2015. Michael has devoted 50 years of his life to physics as a very successful researcher, but also was a colleague for whom service to the community was an important duty. Michael was an inspiration for many and his untimely early death is a big loss for all of us.

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1945–2010

Black¹

2009

Naval Power

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The Sea in Soviet Strategy

Cited by 14 publications

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Strings and Aharonov–Bohm effect in Abelian Higgs model

Strings and Aharonov–Bohm effect in Abelian Higgs model

Dual simulation of the two-dimensional lattice U(1) gauge-Higgs model with a topological term

1945–2010

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