## Abstract

By fully exploiting the mathematical and physical analogy to the Ginzburg-Landau theory of superconductivity, a complete discussion of the ground state behavior of the four-dimensional Abelian Higgs model in the static tree level approximation is presented. It is shown that a sufficiently strong external magnetic field can alter the ground state of the theory by restoring a spontaneously broken symmetry, or by creating a qualitatively different 'vortex' state. The energetically favored ground state is explicitly determined as a function of the external field and the ratio between coupling constants of the theory.

## Citation Formats

Harrington, B J, and Shepard, H K.
Alteration of the ground state by external magnetic fields. [External field, coupling constant ratio, static tree level approximation].
Netherlands: N. p.,
1976.
Web.

Harrington, B J, & Shepard, H K.
Alteration of the ground state by external magnetic fields. [External field, coupling constant ratio, static tree level approximation].
Netherlands.

Harrington, B J, and Shepard, H K.
1976.
"Alteration of the ground state by external magnetic fields. [External field, coupling constant ratio, static tree level approximation]."
Netherlands.

@misc{etde_7350589,

title = {Alteration of the ground state by external magnetic fields. [External field, coupling constant ratio, static tree level approximation]}

author = {Harrington, B J, and Shepard, H K}

abstractNote = {By fully exploiting the mathematical and physical analogy to the Ginzburg-Landau theory of superconductivity, a complete discussion of the ground state behavior of the four-dimensional Abelian Higgs model in the static tree level approximation is presented. It is shown that a sufficiently strong external magnetic field can alter the ground state of the theory by restoring a spontaneously broken symmetry, or by creating a qualitatively different 'vortex' state. The energetically favored ground state is explicitly determined as a function of the external field and the ratio between coupling constants of the theory.}

journal = {Nucl. Phys., B; (Netherlands)}

volume = {105:3}

journal type = {AC}

place = {Netherlands}

year = {1976}

month = {Mar}

}

title = {Alteration of the ground state by external magnetic fields. [External field, coupling constant ratio, static tree level approximation]}

author = {Harrington, B J, and Shepard, H K}

abstractNote = {By fully exploiting the mathematical and physical analogy to the Ginzburg-Landau theory of superconductivity, a complete discussion of the ground state behavior of the four-dimensional Abelian Higgs model in the static tree level approximation is presented. It is shown that a sufficiently strong external magnetic field can alter the ground state of the theory by restoring a spontaneously broken symmetry, or by creating a qualitatively different 'vortex' state. The energetically favored ground state is explicitly determined as a function of the external field and the ratio between coupling constants of the theory.}

journal = {Nucl. Phys., B; (Netherlands)}

volume = {105:3}

journal type = {AC}

place = {Netherlands}

year = {1976}

month = {Mar}

}