On the phase structure of extra-dimensional gauge theories with fermions

Abstract

We study the phase structure of five-dimensional Yang-Mills theories coupled to Dirac fermions. In order to tackle their non-perturbative character, we derive the flow equations for the gauge coupling and the effective potential for the Aharonov-Bohm phases employing the Functional Renormalisation Group. We analyse the infrared and ultraviolet fixed-point solutions in the flow of the gauge coupling as a function of the compactification radius of the fifth dimension. We discuss various types of trajectories which smoothly connect both dimensional limits. Last, we investigate the phase diagram and vacuum structure of the gauge potential for different fermion content.

arXiv comment14 pages, 8 figures. v2: added references v3: published version

References in corpus (60)

• Exact evolution equation for the effective potential
• Non-Perturbative Renormalization Flow in Quantum Field Theory and Statistical Physics
• The Minimal Composite Higgs Model
• The four-loop beta-function in Quantum Chromodynamics
• The Exact Renormalisation Group and Approximate Solutions
• The phase diagram of dense QCD
• Aspects of the Functional Renormalisation Group
• Optimised Renormalisation Group Flows
• The nonperturbative functional renormalization group and its applications
• The 4-loop quark mass anomalous dimension and the invariant quark mass
• Exact Renormalization Group Equations. An Introductory Review
• Walking in the SU(N)
• The Standard Model from extra dimensions
• Limits on extra dimensions in orbifold compactifications of superstrings
• Flow Equations for N Point Functions and Bound States
• Fundamentals of the Exact Renormalization Group
• Fermion Interactions and Universal Behavior in Strongly Interacting Theories
• Lectures on the functional renormalization group method
• Finite Higgs mass without Supersymmetry
• Elements of the Continuous Renormalization Group
• Chiral phase structure of QCD with many flavors
• The Hosotani Mechanism in Bulk Gauge Theories with an Orbifold Extra Space S^1/Z_2
• Chiral phase boundary of QCD at finite temperature
• Gauge-Higgs Unification and Radiative Electroweak Symmetry Breaking in Warped Extra Dimensions
• UV and IR Zeros of Gauge Theories at The Four Loop Order and Beyond
• Higher-Loop Corrections to the Infrared Evolution of a Gauge Theory with Fermions
• Conformal Windows of SU(N) Gauge Theories, Higher Dimensional Representations and The Size of The Unparticle World
• Lectures on renormalization and asymptotic safety
• Renormalizability of gauge theories in extra dimensions
• Nonperturbative investigations of SU(3) gauge theory with eight dynamical flavors
• Dynamical Electroweak Symmetry Breaking in SO(5)xU(1) Gauge-Higgs Unification with Top and Bottom Quarks
• Finite size phase transitions in QCD with adjoint fermions
• Towards A Realistic Grand Gauge-Higgs Unification
• Renormalizable extra-dimensional models
• Grand Gauge-Higgs Unification
• Gauge-Higgs Grand Unification
• Gauge-Higgs unification in the 5 dimensional E_6 and E_7 GUTs on orbifold
• Infrared Zero of $\beta$ and Value of ${\gamma }_m$ for an SU(3) Gauge Theory at the Five-Loop Level
• Polyakov loops and the Hosotani mechanism on the lattice
• Higher-Order Scheme-Independent Series Expansions of ${\gamma }_{\bar{\psi }\psi ,IR}$ and ${\beta }_{IR}^{\prime }$ in Conformal Field Theories
• Scheme-Independent Series Expansions at an Infrared Zero of the Beta Function in Asymptotically Free Gauge Theories
• Gauge-invariant fields and flow equations for Yang-Mills theories
• The Asymptotically Safe Standard Model: From quantum gravity to dynamical chiral symmetry breaking
• Kaluza-Klein Thresholds and Regularization (In)dependence
• Gauge Coupling Unification in Gauge-Higgs Grand Unification
• Conformal House
• CKM matrix and FCNC suppression in $SO(5)\times U(1)\times SU(3)$ gauge-Higgs unification
• Gradient flow step-scaling function for SU(3) with twelve flavors
• The effective potential and universality in GUT inspired gauge-Higgs unification
• Effects of Bulk Mass in Gauge-Higgs Unification
• Near-conformal dynamics in a chirally broken system
• A PNJL Model for Adjoint Fermions with Periodic Boundary Conditions
• Phase structure and Hosotani mechanism in gauge theories with compact dimensions revisited
• Scheme-Independent Calculations of Properties at a Conformal Infrared Fixed Point in Gauge Theories with Multiple Fermion Representations
• Running coupling in the conformal window of large-Nf QCD
• SU(6) Gauge-Higgs Grand Unification: Minimal Viable Models and Flavor
• RG flows in Non-Perturbative Gauge-Higgs Unification II. Effective action for the Higgs phase near the quantum phase transition
• RG flows in Non-Perturbative Gauge-Higgs Unification I
• Gradient flow step-scaling function for SU(3) with $N_f=8$ fundamental flavors
• UV completion of extradimensional Yang-Mills theory for Gauge-Higgs unification

Cited by in corpus (1)

• Asymptotic grand unification in SO(10) with one extra dimension