Nonperturbative methods and extended-hadron models in field theory. III. Four-dimensional non-Abelian models

Dashen, Roger; Hasslacher, Brosl; Neveu, A.

doi:10.1103/physrevd.10.4138

Cited by 240 publications

(174 citation statements)

References 5 publications

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“…Monopoles are essentially related to the presence of the Higgs field with the SO(3) component, while for sphalerons Higgs can be replaced by other attractive agent. Recall that the sphaleron was first obtained in the gauge theory with doublet Higgs [19] and its existence was explained by Manton [20] as a consequence of non-triviality of the third homotopy group of the broken phase manifold. Later it was found that similar solutions arise in the theories without Higgs like Einstein-Yang-Mills and Yang-Mills with dilaton (for a review see [21]), in all such cases conformal invariance is broken.…”

Section: Glueballsmentioning

confidence: 99%

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Sphaleron glueballs in NBI theory with symmetrized trace

Dyadichev¹,

Gal’tsov²

2000

Nuclear Physics B

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We derive a closed expression for the SU (2) Born-Infeld action with the symmetrized trace for static spherically symmetric purely magnetic configurations. The lagrangian is obtained in terms of elementary functions. Using it, we investigate glueball solutions to the flat space NBI theory and their self-gravitating counterparts. Such solutions, found previously in the NBI model with the 'square rootordinary trace' lagrangian, are shown to persist in the theory with the symmetrized trace lagrangian as well. Although the symmetrized trace NBI equations differ substantially from those of the theory with the ordinary trace, a qualitative picture of glueballs remains essentially the same. Gravity further reduces the difference between solutions in these two models, and, for sufficiently large values of the effective gravitational coupling, solutions tends to the same limiting form. The black holes in the NBI theory with the symmetrized trace are also discussed.

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Section: Glueballsmentioning

confidence: 99%

“…1. The integer n is equal to the number of zeroes of w. The n = 1 solution is an analog of the sphaleron known in the Weinberg-Salam theory [19,20], it is expected to have one decay mode. Higher odd-n solutions may be interpreted as excited sphalerons, they Fig.…”

Section: Glueballsmentioning

confidence: 99%

Sphaleron glueballs in NBI theory with symmetrized trace

Dyadichev¹,

Gal’tsov²

2000

Nuclear Physics B

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“…In fact, in the absence of the hypercharge U(1) degrees of freedom, the above ansatz describes the SU(2) sphaleron which is not spherically symmetric [6]. The situation changes with the inclusion of the extra hypercharge U(1) in the standard model, which can compensate the action of the U(1) subgroup of SU (2) on the Higgs field.…”

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confidence: 99%

Monopole configuration in Weinberg-Salam model

1997

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We present a new type of spherically symmetric monopole and dyon solutions with the magnetic charge 4π/e in the standard Weinberg-Salam model. The monopole (and dyon) could be interpreted as a non-trivial hybrid between the abelian Dirac monopole and non-abelian 't Hooft-Polyakov monopole (with an electric charge). We discuss the possible physical implications of the electroweak dyon.Typeset using REVT E X 1

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“…However, there exists a static unstable solution of the field equations, known as sphaleron [3][4][5][6], that represents the top of the energy barrier between two distinct vacua and at finite temperature, because of thermal fluctuations of fields, fermion number violating vacuum to vacuum transitions can occur which are only suppressed by a Boltzmann factor, containing the height of the barrier at the given temperature, i.e. the energy of the sphaleron [7].…”

Section: Introductionmentioning

confidence: 99%

Sphalerons and the electroweak phase transition in models with higher scalar representations

Ahriche

Chowdhury

Nasri

2014

J. High Energ. Phys.

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In this work we investigate the sphaleron solution in a SU(2) × U(1) X gauge theory, which also encompasses the Standard Model, with higher scalar representation(s) (J (i) , X (i) ). We show that the field profiles describing the sphaleron in higher scalar multiplet, have similar trends like the doublet case with respect to the radial distance. We compute the sphaleron energy and find that it scales linearly with the vacuum expectation value of the scalar field and its slope depends on the representation. We also investigate the effect of U(1) gauge field and find that it is small for the physical value of the mixing angle, θ W and resembles the case for the doublet. For higher representations, we show that the criterion for strong first order phase transition, v c /T c > η, is relaxed with respect to the doublet case, i.e. η < 1.

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Nonperturbative methods and extended-hadron models in field theory. III. Four-dimensional non-Abelian models

Cited by 240 publications

References 5 publications

Sphaleron glueballs in NBI theory with symmetrized trace

Sphaleron glueballs in NBI theory with symmetrized trace

Monopole configuration in Weinberg-Salam model

Sphalerons and the electroweak phase transition in models with higher scalar representations

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