Nonperturbative improvement of SU(2) lattice gauge theory with adjoint or fundamental flavors
arXiv:1101.0154 · doi:10.1007/JHEP06(2011)061
Abstract
SU(2) gauge theory with two fermions transforming under the adjoint representation may appear conformal or almost conformal in the infrared, and is one of the candidate theories for building models for technicolor. Early lattice Monte Carlo studies of this model have used unimproved Wilson fermion formulation, which can be expected to have large lattice cutoff effects. In this paper we present the calculation of the O(a) improved lattice Wilson-clover action of the theory. The Sheikholeslami-Wohlert coefficient has been determined non-perturbatively, and various boundary improvement terms, needed for the Schroedinger functional formalism, have been calculated in perturbation theory. For comparison, we have also determined the improvement coefficients for SU(2) gauge theory with two fundamental representation fermions. The calculation paves way for more accurate lattice Monte Carlo analyses of the theory in the future.
22 pages
References in corpus (52)
- Strong Dynamics and Electroweak Symmetry Breaking
- Unparticle Physics
- Chiral symmetry and O(a) improvement in lattice QCD
- The Schrödinger Functional - a Renormalizable Probe for Non-Abelian Gauge Theories
- Non-perturbative O(a) improvement of lattice QCD
- Orientifold theory dynamics and symmetry breaking
- Walking in the SU(N)
- Another Odd Thing About Unparticle Physics
- Light Composite Higgs from Higher Representations versus Electroweak Precision Measurements -- Predictions for LHC
- A Precise Determination of the Running Coupling in the SU(3) Yang-Mills Theory
- Lattice Study of the Conformal Window in QCD-like Theories
- Collider signals in unparticle physics
- Minimal Walking on the Lattice
- O(a) improvement of the axial current in lattice QCD to one-loop order of perturbation theory
- Higher representations on the lattice: numerical simulations. SU(2) with adjoint fermions
- Lattice Study of Conformal Behavior in SU(3) Yang-Mills Theories
- Zero of the discrete beta function in SU(3) lattice gauge theory with color sextet fermions
- Phase diagram of SU(2) with 2 flavors of dynamical adjoint quarks
- Evolution of the coupling constant in SU(2) lattice gauge theory with two adjoint fermions
- The physics of eight flavours
- Nearly conformal gauge theories in finite volume
- Computation of the Running Coupling in the SU(2) Yang-Mills Theory
- The Phase Structure of an SU(N) Gauge Theory with N_f Flavors
- Conformal vs confining scenario in SU(2) with adjoint fermions
- Evidence for a conformal phase in SU(N) gauge theories
- The infrared dynamics of Minimal Walking Technicolor
- Mass anomalous dimension in SU(2) with two adjoint fermions
- The running coupling from the QCD Schrödinger functional -- a one-loop analysis
- One-loop renormalization of the QCD Schrödinger functional
- Spectrum of SU(2) lattice gauge theory with two adjoint Dirac flavours
- Phase structure of SU(3) gauge theory with two flavors of symmetric-representation fermions
- Infrared fixed point in SU(2) gauge theory with adjoint fermions
- Running coupling and mass anomalous dimension of SU(3) gauge theory with two flavors of symmetric-representation fermions
- Mesonic spectroscopy of Minimal Walking Technicolor
- Investigating the critical properties of beyond-QCD theories using Monte Carlo Renormalization Group matching
- Conformal or Walking? Monte Carlo renormalization group studies of SU(3) gauge models with fundamental fermions
- Unparticle & Higgs as Composites
- Mass anomalous dimension in SU(2) with six fundamental fermions
- Running coupling constant of ten-flavor QCD with the Schrödinger functional method
- Thermodynamics of lattice QCD with 2 flavours of colour-sextet quarks: A model of walking/conformal Technicolor
- Dynamical Stabilization of the Fermi Scale: Phase Diagram of Strongly Coupled Theories for (Minimal) Walking Technicolor and Unparticles
- On Lattice QCD with Many Flavors
- Chiral properties of SU(3) sextet fermions
- Lattice QCD: a critical status report
- Improvement via hypercubic smearing in triplet and sextet QCD
- Study of the scaling properties in SU(2) gauge theory with eight flavors
- Evidence for a First Order, Finite Temperature Phase Transition in 8 Flavor QCD
- Mass anomalous dimension and running of the coupling in SU(2) with six fundamental fermions
- Non-perturbatively improved clover action for SU(2) gauge + fundamental and adjoint representation fermions
- Search for the IR fixed point in the Twisted Polyakov Loop scheme (II)
- Improved Spectroscopy of Minimal Walking Technicolor
- Perturbative improvement of SU(2) gauge theory with two Wilson fermions in the adjoint representation
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- Gradient Flow Coupling in the SU(2) gauge theory with two adjoint fermions
- Lattice Monte-Carlo study of pre-conformal dynamics in strongly flavoured QCD in the light of the chiral phase transition at finite temperature
- One,Two,Zero: Scales of Strong Interactions
- Infrared conformality and bulk critical points: SU(2) with heavy adjoint quarks
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- Perturbative Improvement of the Schrodinger Functional for Lattice Strong Dynamics
- Numerical results for gauge theories near the conformal window
- Slope of the beta function at the fixed point of SU(2) gauge theory with six or eight flavors
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- Mapping the Conformal Window: SU(2) with 4, 6 and 10 flavors of fermions