A Bulk Effect to SUSY Effective Potential in a 5D Super-Yang-Mills Model

Abstract

Supersymmetric effective potential of a 5D super-Yang-Mills model compactified on $S^1/Z_2$, i.e., on an interval $l$ of extra dimension, is estimated at the 1-loop level by the auxiliary field tadpole method. For the sake of infinite towers of Kaluza-Klein excitation modes of bulk fields involved in the tadpoles, there arises a definite bulk effect of linear growth of the effective potential along with the cutoff ${\mitΛ}$ which is greatly suppressed by $l$ to produce finite contributions. The minimization of the effective potential incorporating the tree potential and a Fayet-Iliopoulos $D$-term reveals an interesting case that the size of $l$ is stabilized at a length corresponding to an intermediate mass scale $10^{12-14}$ GeV.

15 pages, 2 figures

References in corpus (4)

• Quantum Field Theory and Unification in AdS5
• Anomalies, Fayet-Iliopoulos terms and the consistency of orbifold field theories
• 5D Super Yang-Mills Theory in 4D Superspace, Superfield Brane Operators, and Applications to Orbifold GUTs
• Brane-Anti-Brane Solution and SUSY Effective Potential in Five Dimensional Mirabelli-Peskin Model

Cited by in corpus (4)

• Field Quantization in 5D Space-Time with Z${}_2$-parity and Position/Momentum Propagator
• A New Mechanism for Radius Stabilization in Warped Supersymmetry
• Quantum Dynamics of a Bulk-Boundary System
• Family of Singular Solutions in A SUSY Bulk-Boundary System