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

Journal Article · Thu Dec 01 00:00:00 EST 1994 · Physical Review, D (Particles Fields); (United States)

DOI:https://doi.org/10.1103/PhysRevD.50.6978· OSTI ID:6942407

Blum, T; Kaerkkaeinen, L ^[1]

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1. Department of Physics, University of Arizona, Tucson, Arizona 85721 (United States)

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.

• DOE Contract Number: FG02-85ER40213
• OSTI ID: 6942407
• Journal Information: Physical Review, D (Particles Fields); (United States), Vol. 50:11; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
HIGGS MODEL
U-1 GROUPS
INTERMEDIATE VECTOR BOSONS
CONFINEMENT
GAUGE INVARIANCE
CHARGED PARTICLES
CHIRAL SYMMETRY
FERMIONS
HIGGS BOSONS
MASS
SIMULATION
SYMMETRY BREAKING
THREE-DIMENSIONAL CALCULATIONS
TWO-DIMENSIONAL CALCULATIONS
BOSONS
ELEMENTARY PARTICLES
INTERMEDIATE BOSONS
INVARIANCE PRINCIPLES
LIE GROUPS
MATHEMATICAL MODELS
PARTICLE MODELS
POSTULATED PARTICLES
SYMMETRY
SYMMETRY GROUPS
U GROUPS
662110* - General Theory of Particles & Fields- Theory of Fields & Strings- (1992-)