HIGGS-INSPIRED CORRECTIONS TO THE RG FLOW IN THE FINITE-TEMPERATURE 3D GEORGI–GLASHOW MODEL AND ITS <font>SU</font>(N)-GENERALIZATION

Antonov, Dmitri

doi:10.1142/s0217732302007065

Cited by 5 publications

(4 citation statements)

References 13 publications

(41 reference statements)

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“…Such a derivation can also be extended to the SU(N )-case (2.5). In that case [83], it is qualitatively clear that T BKT should remain the same, since it only differs from that of the SU(2)-case by the factor q i 2 , which is equal to unity. However, some peculiarities of the SU(N )-case at N > 2 become clear only upon a derivation of the RG equations, which will be given below.…”

Section: Higgs-inspired Corrections To the Rg Flow In The Absence Of ...mentioning

confidence: 94%

3d Georgi–glashow Model and Confining Strings at Zero and Finite Temperatures

Antonov

Diamantini

2005

From Fields to Strings: Circumnavigating Theoretical Physics

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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 θ-term from the field-theoretical one in 4D, and k-string tensions at N > 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.

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Section: Higgs-inspired Corrections To the Rg Flow In The Absence Of ...mentioning

confidence: 94%

3d Georgi–glashow Model and Confining Strings at Zero and Finite Temperatures

Antonov

Diamantini

2005

From Fields to Strings: Circumnavigating Theoretical Physics

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“…In this way, as has been shown in Refs. [129][130][131][132], the deconfinement phase transition in the 3D compact QED can be studied analytically.…”

Section: Deconfinement Phase Transition In the 3d Compact Qedmentioning

confidence: 99%

Monopole-Based Scenarios of Confinement and Deconfinement in 3D and 4D

Bellettre

2017

Universe

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This review discusses confinement, as well as the topological and critical phenomena, in the gauge theories which provide the condensation of magnetic monopoles. These theories include the 3D SU(N ) Georgi-Glashow model, the 4D [U(1)] N −1 -invariant compact QED , and the [U(1)] N −1 -invariant dual Abelian Higgs model. After a general introduction to the string models of confinement, an analytic description of this penomenon is provided at the example of the 3D SU(N ) Georgi-Glashow model, with a special emphasis placed on the so-called Casimir scaling of k-string tensions in that model. We further discuss the string representation of the 3D [U(1)] N −1 -invariant compact QED, as well as of its 4D generalization with the inclusion of the Θ-term. We compare topological effects, which appear in the latter case, with those that take place in the 3D QED extended by the Chern-Simons term. We further discuss the string representation of the 't Hooft-loop average in the [U(1)] N −1 -invariant dual Abelian Higgs model extended by the Θ-term, along with the topological effects caused by this term. These topological effects are compared with those occurring in the 3D dual Abelian Higgs model (i.e., the dual Landau-Ginzburg theory) extended by the Chern-Simons term. In the second part of the review, we discuss critical properties of the weakly-coupled 3D confining theories. These theories include the 3D compact QED, along with its fermionic extension, and the 3D Georgi-Glashow model. Keywords: magnetic monopoles; Abelian-type models of confinement; string representation of the Wilson-and the 't Hooft-loop averages; Aharonov-Bohm and other topological effects; Casimir scaling of k-string tensions; critical properties of the 3D weakly coupled confining theories Topological Effects in the Abelian-Type Confining Theories IntroductionIn this review, we discuss various non-perturbative phenomena that take place in the Abelian-type confining gauge theories. We start this discussion with recalling some basic facts about confinement, the large-distance static quark-antiquark potential associated with it, and the related models of the confining string. As is well known, because of confinement in QCD, quarks and gluons do not exist as individual particles, but appear only in the form of bound states (for recent reviews, see [1][2][3]). The latter include mesons, baryons, glueballs, and the so-called hybrids consisting of a quark, an antiquark, and one or several gluons. Confining interactions that take place between the constituents of the bound states, can occur through string-like Euclidean configurations of the Yang-Mills field. Such effective strings can be viewed as the microscopic tubes that carry fluxes of the gauge field from one constituent to another, which is the reason for calling them "the QCD flux tubes" [4][5][6][7]. Similar flux tubes, called Abrikosov vortices [8,9] (for a relativistic generalization, see [10]), exist in type-II superconductors, in which case they represent stable cylindrically-symmetric s...

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“…In this Section, we shall discuss some results of Ref. [ 12] which concern the peculiarities of the SU (N )-case. The SU (N )-generalization of the action (3), stemming from the SU (N ) Georgi-Glashow model, has the form…”

Section: Properties Of the Su (N )-Casementioning

confidence: 99%

“…In the case m H ∼ m W , one can perform the RG analysis by integrating out high-frequency modes of the fields χ and ψ (see the second paper of Ref. [ 12] for details).…”

Section: Properties Of the Su (N )-Casementioning

confidence: 99%

Finite-Temperature Behavior of the (2+1)d Georgi-Glashow Model With and Without Quarks

Antonov

2002

Continuous Advances in QCD 2002

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2+1)-dimensional Georgi-Glashow model and its SU (N )-generalization are explored at nonzero temperatures and in the regime when the Higgs boson is not infinitely heavy. The finiteness of the Higgs-boson mass leads to various novel effects. Those include the appearance of two separate phase transitions and of the upper bound on the parameter of the weak-coupling approximation, necessary to maintain the stochasticity of the Higgs vacuum. The modification of the finitetemperature behavior of the model emerging due to the introduction of massless quarks is also discussed.

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HIGGS-INSPIRED CORRECTIONS TO THE RG FLOW IN THE FINITE-TEMPERATURE 3D GEORGI–GLASHOW MODEL AND ITS SU(N)-GENERALIZATION

Cited by 5 publications

References 13 publications

3d Georgi–glashow Model and Confining Strings at Zero and Finite Temperatures

3d Georgi–glashow Model and Confining Strings at Zero and Finite Temperatures

Monopole-Based Scenarios of Confinement and Deconfinement in 3D and 4D

Finite-Temperature Behavior of the (2+1)d Georgi-Glashow Model With and Without Quarks

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