The Experts below are selected from a list of 318 Experts worldwide ranked by ideXlab platform
D. Antonov - One of the best experts on this subject based on the ideXlab platform.
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String Representation of the SU(N)-inspired dual Abelian–Higgs-type theory with the Θ-term
Physics Letters B, 2002Co-Authors: D. AntonovAbstract:Abstract String Representation of the [ U (1)] N −1 gauge-invariant dual Abelian–Higgs-type theory, which is relevant to the SU ( N )-QCD with the Θ -term and provides confinement of quarks, is derived. The N -dependence of the Higgs vacuum expectation value is found, at which the tension of the String joining quarks becomes N -independent, similarly to the real QCD. Contrary to that, the inverse coupling constant of the rigidity term of this String always behaves approximately as 1/ N . A long-range Aharonov–Bohm-type interaction of a dyon (i.e., a quark which acquired a magnetic charge due to the Θ -term) with a closed electric String becomes nontrivial at Θ ≠ Nπ ×integer. On the contrary, at these critical values of Θ , the scattering of dyons over Strings is absent.
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String Representation of the su n inspired dual abelian higgs type theory with the θ term
Physics Letters B, 2002Co-Authors: D. AntonovAbstract:Abstract String Representation of the [ U (1)] N −1 gauge-invariant dual Abelian–Higgs-type theory, which is relevant to the SU ( N )-QCD with the Θ -term and provides confinement of quarks, is derived. The N -dependence of the Higgs vacuum expectation value is found, at which the tension of the String joining quarks becomes N -independent, similarly to the real QCD. Contrary to that, the inverse coupling constant of the rigidity term of this String always behaves approximately as 1/ N . A long-range Aharonov–Bohm-type interaction of a dyon (i.e., a quark which acquired a magnetic charge due to the Θ -term) with a closed electric String becomes nontrivial at Θ ≠ Nπ ×integer. On the contrary, at these critical values of Θ , the scattering of dyons over Strings is absent.
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Dual formulation of gauge theories and confinement
Physics of Atomic Nuclei, 2001Co-Authors: D. Antonov, Dietmar EbertAbstract:We review various approaches to the problem of String Representation of gauge theories allowing for the analytic description of confinement. The models under study include QCD within the stochastic vacuum model, compact QED, and Abelian-projected SU(2) theory.
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String Representation of field correlators in the dual abelian higgs model
European Physical Journal C, 1999Co-Authors: D. Antonov, D EbertAbstract:By making use of the path integral duality transformation, we derive the String Representation for the partition function of an extended Dual Abelian Higgs Model containing gauge fields of external currents of electrically charged particles. By the same method, we obtain the corresponding Representations for the generating functionals of gauge field and monopole current correlators. In the case of bilocal correlators, the obtained results are found to be in agreement with the dual Meissner scenario of confinement and the Stochastic Model of the QCD vacuum.
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String Representation of Gauge Theories
arXiv: High Energy Physics - Phenomenology, 1999Co-Authors: D. AntonovAbstract:In this talk, various approaches to the problem of evaluation of the field strength correlators in the SU(3)-gluodynamics, which play the major role in the Stochastic Vacuum Model, are reviewed. This is done in the framework of the effective Abelian-projected theories under the various assumptions implied on the properties of the ensemble of Abelian-projected monopoles. In particular, within the assumption on the condensation of the monopole Cooper pairs, the main method of investigation is the String Representation of field strength correlators. The calculation of the bilocal field strength correlator in the 3D effective theory, where Abelian-projected monopoles are assumed to form a gas, based on the String Representation for the Wilson loop in this theory, is also presented.
D Ebert - One of the best experts on this subject based on the ideXlab platform.
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Confinement in the Abelian-Higgs-type theories: String picture and field correlators
Physics of Atomic Nuclei, 2005Co-Authors: D V Antonov, D EbertAbstract:Field correlators and the String Representation are used as two complementary approaches for the description of confinement in the SU ( N )-inspired dual Abelian-Higgs-type model. In the London limit of the simplest, SU (2)-inspired, model, bilocal electric field-strength correlators have been derived accounting for the contributions to these averages produced by closed dual Strings. The Debye screening in the plasma of such Strings yields a novel long-range interaction between points lying on the contour of the Wilson loop. This interaction generates a Lüscher-type term, even when one restricts oneself to the minimal surface, as is usually done in the bilocal approximation to the stochastic vacuum model. Beyond the London limit, it has been shown that a modified interaction appears, which becomes reduced to the standard Yukawa one in the London limit. Finally, a String Representation of the SU ( N )-inspired model with the Θ term, in the London limit, can be constructed.
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String Representation of the dual ginzburg landau theory beyond the london limit
arXiv: High Energy Physics - Phenomenology, 2003Co-Authors: Miho Koma, D Ebert, Yoshiaki Koma, H TokiAbstract:The effective String action of the color-electric flux tube in the dual Ginzburg-Landau (DGL) theory is studied by performing a path-integral analysis by taking into account the finite thickness of the flux tube. A modified Yukawa interaction appears as a boundary contribution and is reduced into the ordinary Yukawa interaction in the London Limit.
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towards the String Representation of the dual abelian higgs model beyond the london limit
Journal of High Energy Physics, 2002Co-Authors: Yoshiaki Koma, D Ebert, Miho Koma, H TokiAbstract:We perform a path-integral analysis of the String Representation of the dual abelian Higgs (DAH) model beyond the London limit, where the String describing the vortex of a flux tube has a finite thickness. We show that besides an additional vortex core contribution to the String tension, a modified Yukawa interaction appears as a boundary contribution in the type-II dual superconducting vacuum. In the London limit, the modified Yukawa interaction is reduced to the Yukawa one.
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String Representation of field correlators in the dual abelian higgs model
European Physical Journal C, 1999Co-Authors: D. Antonov, D EbertAbstract:By making use of the path integral duality transformation, we derive the String Representation for the partition function of an extended Dual Abelian Higgs Model containing gauge fields of external currents of electrically charged particles. By the same method, we obtain the corresponding Representations for the generating functionals of gauge field and monopole current correlators. In the case of bilocal correlators, the obtained results are found to be in agreement with the dual Meissner scenario of confinement and the Stochastic Model of the QCD vacuum.
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String Representation of field correlators in the su 3 gluodynamics
Physics Letters B, 1998Co-Authors: D. Antonov, D EbertAbstract:Abstract The String Representation of the Abelian projected SU(3)-gluodynamics partition function is derived by using the path-integral duality transformation. On this basis, we also derive analogous Representations for the generating functionals of correlators of gluonic field strength tensors and monopole currents, which are finally applied to the evaluation of the corresponding bilocal correlators. The large distance asymptotic behaviours of the latter turn out to be in a good agreement with existing lattice data and the Stochastic Model of the QCD vacuum.
Martin Derka - One of the best experts on this subject based on the ideXlab platform.
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Symposium on Computational Geometry - 1-String B_2-VPG Representation of Planar Graphs
2020Co-Authors: Therese C Biedl, Martin DerkaAbstract:In this paper, we prove that every planar graph has a 1-String B_2-VPG Representation - a String Representation using paths in a rectangular grid that contain at most two bends. Furthermore, two paths representing vertices u, v intersect precisely once whenever there is an edge between u and v.
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1 String b_2 vpg Representation of planar graphs
Journal of Computational Geometry, 2016Co-Authors: Therese C Biedl, Martin DerkaAbstract:In this paper, we prove that every planar graph has a 1-String $B_2$-VPG Representation—a String Representation using paths in a rectangular grid that contain at most two bends. Furthermore, two paths representing vertices $u,v$ intersect precisely once whenever there is an edge between $u$ and $v$. We also show that only a subset of the possible curve shapes is necessary to represent $4$-connected planar graphs.
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1 String b_2 vpg Representation of planar graphs
Symposium on Computational Geometry, 2015Co-Authors: Therese C Biedl, Martin DerkaAbstract:In this paper, we prove that every planar graph has a 1-String B_2-VPG Representation - a String Representation using paths in a rectangular grid that contain at most two bends. Furthermore, two paths representing vertices u, v intersect precisely once whenever there is an edge between u and v.
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1 String cz Representation of planar graphs
arXiv: Computational Geometry, 2014Co-Authors: Therese C Biedl, Martin DerkaAbstract:In this paper, we prove that every planar 4-connected graph has a CZ-Representation---a String Representation using paths in a rectangular grid that contain at most one vertical segment. Furthermore, two paths representing vertices $u,v$ intersect precisely once whenever there is an edge between $u$ and $v$. The required size of the grid is $n \times 2n$.
Antti J Niemi - One of the best experts on this subject based on the ideXlab platform.
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towards a String Representation of infrared su 2 yang mills theory
Physics Letters B, 1999Co-Authors: Edwin Langmann, Antti J NiemiAbstract:Abstract We employ a heat kernel expansion to derive an effective action that describes four dimensional SU(2) Yang-Mills theory in the infrared limit. Our result supports the proposal that at large distances the theory is approximated by the dynamics of knotted String-like fluxtubes which appear as solitons in the effective theory.
Therese C Biedl - One of the best experts on this subject based on the ideXlab platform.
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Symposium on Computational Geometry - 1-String B_2-VPG Representation of Planar Graphs
2020Co-Authors: Therese C Biedl, Martin DerkaAbstract:In this paper, we prove that every planar graph has a 1-String B_2-VPG Representation - a String Representation using paths in a rectangular grid that contain at most two bends. Furthermore, two paths representing vertices u, v intersect precisely once whenever there is an edge between u and v.
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1 String b_2 vpg Representation of planar graphs
Journal of Computational Geometry, 2016Co-Authors: Therese C Biedl, Martin DerkaAbstract:In this paper, we prove that every planar graph has a 1-String $B_2$-VPG Representation—a String Representation using paths in a rectangular grid that contain at most two bends. Furthermore, two paths representing vertices $u,v$ intersect precisely once whenever there is an edge between $u$ and $v$. We also show that only a subset of the possible curve shapes is necessary to represent $4$-connected planar graphs.
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1 String b_2 vpg Representation of planar graphs
Symposium on Computational Geometry, 2015Co-Authors: Therese C Biedl, Martin DerkaAbstract:In this paper, we prove that every planar graph has a 1-String B_2-VPG Representation - a String Representation using paths in a rectangular grid that contain at most two bends. Furthermore, two paths representing vertices u, v intersect precisely once whenever there is an edge between u and v.
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1 String cz Representation of planar graphs
arXiv: Computational Geometry, 2014Co-Authors: Therese C Biedl, Martin DerkaAbstract:In this paper, we prove that every planar 4-connected graph has a CZ-Representation---a String Representation using paths in a rectangular grid that contain at most one vertical segment. Furthermore, two paths representing vertices $u,v$ intersect precisely once whenever there is an edge between $u$ and $v$. The required size of the grid is $n \times 2n$.
