Effective Action and Holography in 5D Gauge Theories

Abstract

We apply the holographic method to 5D gauge theories on the warped interval. Our treatment includes the scalars associated with the fifth gauge field component, which appear as 4D Goldstone bosons in the holographic effective action. Applications are considered to two classes of models in which these scalars play an important role. In the Composite-Higgs (and/or Gauge-Higgs Unification) scenario, the scalars are interpreted as the Higgs field and we use the holographic recipe to compute its one-loop potential. In AdS/QCD models, the scalars are identified with the mesons and we compute holographically the Chiral Perturbation Theory Lagrangian up to p^4 order. We also discuss, using the holographic perspective, the effect of including a Chern-Simons term in the 5D gauge Lagrangian. We show that it makes a Wess-Zumino-Witten term to appear in the holographic effective action. This is immediately applied to AdS/QCD, where a Chern-Simons term is needed in order to mimic the Adler-Bardeen chiral anomaly.

37 pages; v2, minor changes, one reference added; v3, minor corrections, version published in JHEP

References in corpus (5)

• Light custodians in natural composite Higgs models
• About the holographic pseudo-Goldstone boson
• Electroweak Symmetry Breaking and Precision Tests with a Fifth Dimension
• Exact Equivalence of the D=4 Gauged Wess-Zumino-Witten Term and the D=5 Yang-Mills Chern-Simons Term
• WZW action in odd dimensional gauge theories

Cited by in corpus (40)

• The Composite Nambu-Goldstone Higgs
• Light Top Partners for a Light Composite Higgs
• On the Tuning and the Mass of the Composite Higgs
• The Discrete Composite Higgs Model
• Baryon Number-Induced Chern-Simons Couplings of Vector and Axial-Vector Mesons in Holographic QCD
• Electroweak Breaking on a Soft Wall
• Dynamical Electroweak Symmetry Breaking in SO(5)xU(1) Gauge-Higgs Unification with Top and Bottom Quarks
• Baryon Physics in Holographic QCD
• Direct and indirect signals of natural composite Higgs models
• On axials and pseudoscalars in the hadronic light-by-light contribution to the muon $(g-2)$
• Dark Matter and Electroweak Symmetry Breaking in Models with Warped Extra Dimensions
• New Prospects for Higgs Compositeness in h -> Z gamma
• Stable skyrmions from extra dimensions
• Pseudo scalar contributions to light-by-light correction of muon g-2 in AdS/QCD
• Yukawa Couplings and Effective Interactions in Gauge-Higgs Unification
• Leptons in Holographic Composite Higgs Models with Non-Abelian Discrete Symmetries
• Cornering Large-$N_c$ QCD with Positivity Bounds
• Gauge-Higgs Unification at LHC
• Massive Pions, Anomalies and Baryons in Holographic QCD
• Simple and Realistic Composite Higgs Models in Flat Extra Dimensions
• The electroweak gauge couplings in SO(5) x U(1) gauge-Higgs unification
• Meson-Nucleon Coupling from AdS/QCD
• Holographic Methods and Gauge-Higgs Unification in Flat Extra Dimensions
• Electroweak symmetry breaking and collider signatures in the next-to-minimal composite Higgs model
• ${\gamma }^{\ast }{\rho }^0\to {\pi }^0$ Transition Form Factor in Extended AdS/QCD Models
• A minimally tuned composite Higgs model from an extra dimension
• Probing light top partners with CP violation
• Anomaly Holography, the Wess-Zumino-Witten Term, and Electroweak Symmetry Breaking
• AdS/QCD: The Relevance of the Geometry
• The Super-Planckian Axion Strikes Back
• Direct Constraints, Flavor Physics, and Flavor Anomalies in Composite Higgs Models
• Modelling strong interactions and longitudinally polarized vector boson scattering
• Non Minimal Terms in Composite Higgs Models and in QCD
• Natural inflation in 5D warped backgrounds
• Anomaly Inflow and Holography
• Convergent Bayesian Global Fits of 4D Composite Higgs Models
• Nonlinear Boundary Dynamics and Chiral Symmetry in Holographic QCD
• Holographic Composite Higgs Model Building: Soft Breaking, Maximal Symmetry, and the Higgs Mass
• On Effective Actions from Holography
• Revisiting the chiral effective action in holographic models