non-Abelian Higgs Model Research Articles

Q-ball solutions in local gauge theories with a Chern-Simons term

In abelian and non-abelian Higgs models with a Chern-Simons terms, we show that even in the absence of the Higgs mechanism, there exist solutions of finite energy, flux, charge and angular momentum, which may be interpreted as Q-balls of an unbroken local gauge theory.

SPHERICALLY SYMMETRIC SO(4) INSTANTON OF A NON-ABELIAN HIGGS MODEL IN 4-DIMENSIONS

A spherically symmetric instanton of a 4-dimensional non-Abelian Higgs model descended from a generalised Yang-Mills system, is presented. This instanton is not selfdual.

Charged-vortex solution to spontaneously broken gauge theories with Chern-Simons term.

We study the charged-vortex solution to the classical equations of motion for a non-Abelian Higgs model with a Chern-Simons term. We determine the energy of the vortex and the values of the magnetic and electric fields by means of a power-series expansion and also using a variational approach.

A non-Abelian Higgs model on the lattice in terms of a complete system of gauge invariants

In this Letter we investigate the lattice version of a certain non-Abelian Higgs model, the theory of a SU(2)-gauge field interacting with a matter field in the adjoint representation.

Comparison of two gauge-nonequivalent IAnsäItzeB for charged vortices in SU(2) gauge theory with Chern-Simons term.

We discuss in detail the possible connection between the two topologically equivalent but gauge-nonequivalent Ansa$uml---tze for charged (neutral) vortices in an SU(2) non-Abelian Higgs model with (without) a Chern-Simons term. In particular, we show that when the magnitude of the two Higgs fields are proportional to each other in the Ansatz where the global gauge group is SU(2) then the field equations and the energy functional in the two Ansa$uml---tze have identical form in terms of the corresponding dimensionless Ginzburg-Landau-type parameters \ensuremath{\eta} and \ensuremath{\lambda}. In this case we show that for a wide range of parameters the charged (as well as neutral) one-vortex energy in the Ansatz, in which the fields are in the adjoint representation of SU(2) so that the global gauge group is SU(2)/${Z}_{2}$, is less than the corresponding energy in the Ansatz where the global gauge group is SU(2). For the neutral case we also obtain an exact and approximate analytic one-vortex solution in case \ensuremath{\lambda}=1 and 2, respectively (and \ensuremath{\eta}=1). Finally we show that charged (as well as neutral) ${Z}_{3}$ vortices of the SU(3) gauge theory repel each other in the dominant part of the type-II region of superconductivity (i.e., \ensuremath{\lambda}>\ensuremath{\eta}).

Symplectic structure of a non-Abelian Higgs model on the lattice

Symplectic structure of a non-Abelian Higgs model on the lattice is calculated in terms of gauge invariants.

Charged vortex of finite energy in nonabelian gauge theories with Chern-Simons term

The existence is shown of a charged vortex of finite energy in the (2 + 1)-dimensional nonabelian Higgs model with a Chern-Simons term. By using the constrained variational calculation, the vortex energy ξ, the angular momentum J, and the magnetic moment k are estimated. Rigorous lower bounds on ξ and J are also derived. It is further shown that the lower bound is saturated for the neutral vortex provided the parameters of the model have special values and that in this case an exact vortex solution can be obtained.

O(4)-invariant solutions in Yang-Mills theory with scalar field

The representation of 't Hooft is used to establish a correspondence between the class of gauge fields of a non-Abelian Higgs model and the solutions of a scalar field theory with nonlinear interaction. The existence of O(4)-invariant instanton type solutions is proved. An explicit example of a nonself-dual instanton is constructed, together with instanton-anti-instanton and meron-instanton pairs.

Self-dual factorization of the Proca equation with Chern-Simons term in 4 K − 1 dimensions

We show that the Proca equation with Chern-Simons term propagates a self-dual field with two distinct masses in 4 K − 1 dimensions. In the special case of three-dimensions ( K = 1) it is further shown that the corresponding lagrangian is the free gauge part of the abelian Higgs model with Chern-Simons term after the Higgs mechanism has taken place. Some unusual features of the nonabelian Higgs model with Chern-Simons term are also pointed out.

Two-meron configurations in the nonabelian Higgs model

In the nonabelian SU(2) gauge Higgs model, the explicit meron-meron solution is given for a discrete value of the coupling constant of the scalar fields.

Meron-like configurations in a classical non-Abelian Higgs model

A set of two nonlinear differential equations for cylindrically symmetric meron-like configurations in a classical non-Abelian Higgs model is obtained.

Two-dimensional SU( N) Higgs theory : An instanton approach

The two-dimensional non-abelian Higgs model is studied by employing a dilute gas of Z N vortices. The results obtained are similar to the corresponding results of the abelian model, studied by Callan, Dashen and Gross, and Raby and Ukawa. The most interesting conclusion is that in the presence of some number, N F, of massless fermion flavors, the theory behaves differently for N > N crit or N < N crit where N crit = N F/( N F−2).

Quantum soliton operators for vortices and superselection rules

We propose a quantum field theory of vortex solitons in the canonical formalism. Using the fact that the topological charge, regarded as an operator, commutes with all local operators, we obtain a superselection rule structure of Abelian and non-Abelian Higgs models in 2 + 1 dimensions. Lorentz-invariant vortex sectors are constructed as nonvacuum representations of the canonical commutation relations. The intertwining operator between the vortex sector and the vacuum sector is identified to be a quantum vortex operator.