Phenomenology of symmetry breaking from extra dimensions

Abstract

Motivated by the electroweak hierarchy problem, we consider theories with two extra dimensions in which the four-dimensional scalar fields are components of gauge boson in full space. We explore the Nielsen-Olesen instability for SU(N) on a torus, in the presence of a magnetic background. A field theory approach is developed, computing explicitly the minimum of the complete effective potential, including tri-linear and quartic couplings and determining the symmetries of the stable vacua. We also develop appropriate gauge-fixing terms when both Kaluza-Klein and Landau levels are present and interacting, discussing the interplay between the possible six and four dimensional choices. The equivalence between coordinate dependent and constant Scherk-Schwarz boundary conditions -associated to either continuous or discrete Wilson lines- is analyzed.

arXiv comment39 pages and 8 eps figures. Few changes in section2

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Cited by in corpus (15)

• Three generation magnetized orbifold models
• Higher Order Couplings in Magnetized Brane Models
• Magnetic flux, Wilson line and orbifold
• Flavor structure from magnetic fluxes and non-Abelian Wilson lines
• Effective field theory for magnetic compactifications
• Three-generation Models from E_8 Magnetized Extra Dimensional Theory
• Flux compactifications and naturalness
• E6,7,8 Magnetized Extra Dimensional Models
• A New Class of Rank Breaking Orbifolds
• Quantum corrections for D-brane models with broken supersymmetry
• Mass spectrum in a six-dimensional $SU(n)$ gauge theory on a magnetized torus
• Symmetry breaking from Scherk-Schwarz compactification
• One-loop effective potential in M4 x T2 with and without 't Hooft flux
• Pseudo-Nambu-Goldstone bosons and tachyons in flux compactification
• CP violation from pure gauge in extra dimensions