Confining the gauge field to a lower dimensional subspace by an inhomogeneous Higgs mechanism

We study a three-dimensional (3D) U(1) gauge theory coupled to a charged Higgs field with a spatially varying mass term. By choosing the mass term to be nonzero outside a 2D plane, an inhomogeneous, spontaneous breaking of the U(1) gauge symmetry confines the gauge fields to the 2D plane. The photon...

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Bibliographic Details
Published in:Physical review. D, Particles and fields Particles and fields, 1994-12, Vol.50 (11), p.6978-6983
Main Authors: Blum, T, Kärkkäinen, L
Format: Article
Language:English
Subjects:
662110 - General Theory of Particles & Fields- Theory of Fields & Strings- (1992-)
BOSONS
CHARGED PARTICLES
CHIRAL SYMMETRY
CONFINEMENT
ELEMENTARY PARTICLES
FERMIONS
GAUGE INVARIANCE
HIGGS BOSONS
HIGGS MODEL
INTERMEDIATE BOSONS
INTERMEDIATE VECTOR BOSONS
INVARIANCE PRINCIPLES
LIE GROUPS
MASS
MATHEMATICAL MODELS
PARTICLE MODELS
PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
POSTULATED PARTICLES
SIMULATION
SYMMETRY
SYMMETRY BREAKING
SYMMETRY GROUPS
THREE-DIMENSIONAL CALCULATIONS
TWO-DIMENSIONAL CALCULATIONS
U GROUPS
U-1 GROUPS
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Summary:We study a three-dimensional (3D) U(1) gauge theory coupled to a charged Higgs field with a spatially varying mass term. By choosing the mass term to be nonzero outside a 2D plane, an inhomogeneous, spontaneous breaking of the U(1) gauge symmetry confines the gauge fields to the 2D plane. The photon acquires a mass outside this mass defect. On the defect the 3D gauge action is reduced to an effective 2D gauge action. Simulations show the average plaquette on the defect has the required 2D value which demonstrates the above mechanism. We propose this as a way to simulate gauge theories of chiral fermions in conjunction with the method recently proposed by Kaplan.
ISSN:0556-2821
1089-4918
DOI:10.1103/PhysRevD.50.6978