Three-dimensional$$(\psi \overline \psi  )^2 $$ model with an external non-abelian field, temperature and a chemical potentialmodel with an external non-abelian field, temperature and a chemical potential

Klimenko, K. G.; Magnitsky, B. V.; Vshivtsev, A. S.

doi:10.1007/bf02831447

Cited by 42 publications

(31 citation statements)

References 11 publications

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“…in the presence of an external chromomagnetic field) and finite temperature, it was shown that a weak gluon condensate plays a stabilizing role for the behavior of the constituent quark mass, the quark condensate, meson masses and coupling constants for varying temperature [18]. Then, in a series of papers, devoted to the NJL model with gluon condensate, it was shown that an external chromomagnetic field, similar to the ordinary magnetic field, serves as a catalyzing factor in the fermion mass generation and dynamical breaking of chiral symmetry as well [19]. The basis for this phenomenon is the effective reduction of the space dimensionality in the presence of external chromomagnetic fields [20].…”

Section: Introductionmentioning

confidence: 99%

Influence of an external chromomagnetic field on color superconductivity

et al. 2002

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We study the competition of quark-antiquark and diquark condensates under the influence of an external chromomagnetic field modelling the gluon condensate and in dependence on the chemical potential and temperature. As our results indicate, an external chromomagnetic field might produce remarkable qualitative changes in the picture of the color superconducting (CSC) phase formation. This concerns, in particular, the possibility of a transition to the CSC phase and diquark condensation at finite temperature.

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Section: Introductionmentioning

confidence: 99%

Influence of an external chromomagnetic field on color superconductivity

et al. 2002

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“…It was also demonstrated that a strong chromomagnetic field catalyzes DχSB [9]. As was shown in [10], this effect can be understood in the framework of the dimensional reduction mechanism as well, and it does not depend on the particular form of the constant chromomagnetic field configuration.…”

Section: Introductionmentioning

confidence: 67%

“…This phenomenon of magnetic catalysis was explained basing upon the idea of effective reduction of space dimensionality in the presence of a strong external magnetic field [7] (see also paper [8] and references therein). It was also demonstrated that a strong chromomagnetic field catalyzes DχSB [9]. As was shown in [10], this effect can be understood in the framework of the dimensional reduction mechanism as well, and it does not depend on the particular form of the constant chromomagnetic field configuration.…”

Section: Introductionmentioning

confidence: 67%

Competition of color ferromagnetic and superconductive states in a quark-gluon system

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Zhukovsky

2005

Phys. Rev. D

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The possibility of color ferromagnetism in an SU (2) gauge field model is investigated. The conditions allowing a stable color ferromagnetic state of the quark system in the chromomagnetic field occupying small domains are considered. A phase transition between this state and the color superconducting states is considered. The effect of finite temperature is analyzed.PACS numbers: 11.10. Wx, 11.30.Qc, 12.20.Ds, 12.60.Cn IntroductionNonperturbative effects of non-abelian gauge theories take place in the infrared region.Among such nonperturbative effects are the existence of the QCD vacuum with gluon and quark condensates, chiral symmetry breaking, confinement and the hadronization process.They can only be studied by approximate methods and in the framework of various effective models. For instance, one of the possibilities to approximately describe the gluon condensate is to introduce background color fields of certain configurations (see, e.g., [1,2]).Another example of nonperturbative problems is the physics of light mesons that can be described by effective four-fermion models such as the Nambu-Jona-Lasinio (NJL) quark model, which was successfully used to implement the ideas of dynamical chiral symmetry breaking (DχSB) and bosonization (see e.g. [3], [4] and references therein; for a review of (2+1)-dimensional four-quark effective models see [5]).In the framework of four-fermion models, it was shown that a constant magnetic field [6] induces the dynamical chiral symmetry breaking (DχSB), as well as the fermion mass 2 generation, even under conditions when the interaction between fermions is weak. This phenomenon of magnetic catalysis was explained basing upon the idea of effective reduction of space dimensionality in the presence of a strong external magnetic field [7] (see also paper[8] and references therein). It was also demonstrated that a strong chromomagnetic field catalyzes DχSB [9]. As was shown in [10], this effect can be understood in the framework of the dimensional reduction mechanism as well, and it does not depend on the particular form of the constant chromomagnetic field configuration.One of the solutions of the Yang-Mills equations that can serve as a model for the gluon condensate is a constant chromomagnetic field. Its role was demonstrated in [11,12]. In these papers, the authors calculated the one-loop effective potential for a constant chromomagnetic field B and they demonstrated that it reaches its minimum at a nonvanishing value of B.However this simple analytical model of the gluon condensate with a uniform chromomagnetic field B = const (the so-called "colour ferromagnetic state") [11,12] suffered from an instability [13]. This problem later has been studied in a number of papers. In particular, The principal difficulty in finding a stable color ferrromagnetic state is that a local minimum of the action can not be obtained, since the corresponding field configuration proved to be spatially inhomogeneous. In order to circumvent this difficulty, the method earlier applied in analy...

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“…At G < G c = π 2 /(2Λ − 2mπ) the vacuum of the model is P −even, at G > G c a phase of the model with spontaneously broken parity is realized. At the point G = G c the global minimum of the potential jumps from the origin to the nontrivial point (5), and the first order phase transition takes place. (We note for comparison that in the case of a massless theory, i.e., for m = 0, a second order phase transition continuous in the coupling constant takes place at the point G = G c .…”

Section: Phase Structure Of the Model At H =mentioning

confidence: 99%

“…This phenomenon was then explained basing upon mechanism of effective reduction of space-time dimensions in the external magnetic field and, corresponding strengthening of the role of infrared divergences in the vacuum reorganization [4]. Later, it has been shown that spontaneous chiral symmetry breaking can be induced by an external chromomagnetic field as well [5][6][7]. Moreover, basing upon the study of a number of field theories, it has been argued that DχSB magnetic catalysis effect may have a universal, i.e.…”

Section: Introductionmentioning

confidence: 97%