Introduction Results: Six Flavor QCD at Finite Temperature Discussion: Nf Dependence of Tc Summary and Future Works Lattice Study for Conformal and Walking Dynamics in Large N f Gauge Theory A Potential Interest for Use of New Fermions Kohtaroh Miura A , M. Lombardo A , E. Pallante B A. Deuzeman C , and T. Silva B Laboratori Nazionali di Frascati - INFN A Rijksuniversiteit Groningen B University of Bern C Talk at YIPQS, YITP, Feb. 20, 2011 Kohtaroh Miura A , M. Lombardo A , E. Pallante B A. Deuzeman C , and T. Silva B Lattice Study for Conformal and Walking Dynamics in Large Nf Gauge Theo
Introduction Results: Six Flavor QCD at Finite Temperature Discussion: Nf Dependence of Tc Summary and Future Works References References K. Miura, M. P. Lombardo and E. Pallante, “Chiral phase transition at finite temperature and conformal dynamics in large N f QCD,” arXiv:1110.3152 [hep-lat]. K. Miura, M. P. Lombardo and E. Pallante, “Thermodynamic Study for Conformal Phase in Large Nf Gauge Theory,” PoS Lattice 2011, arXiv:1111.1098 [hep-lat]. Tools MILC Code: http://www.physics.utah.edu/˜detar/milc/milc qcd.html Argolithm: Rational Hybrid Molecular-Dynamics with Omelyan-Integrator Computers: IBM-sp6 in CINECA, SP16000 in YITP, and Italian-Grid-Infrastructures Kohtaroh Miura A , M. Lombardo A , E. Pallante B A. Deuzeman C , and T. Silva B Lattice Study for Conformal and Walking Dynamics in Large Nf Gauge Theo
Introduction Results: Six Flavor QCD at Finite Temperature Discussion: Nf Dependence of Tc Summary and Future Works Table of Contents Introduction 1 Emergence of Conformal Symmetry in Gauge Theory General Motivation to Study Conformal Dynamics Goal and Strategy Results: Six Flavor QCD at Finite Temperature 2 Critical Coupling Determination in N f = 6 QCD-Like Theory Asymptotic Scaling Discussion: N f Dependence of T c 3 N f Dependence of T c / Λ L N f Dependence of T c / M : Use of UV Reference Scale M Summary and Future Works 4 Kohtaroh Miura A , M. Lombardo A , E. Pallante B A. Deuzeman C , and T. Silva B Lattice Study for Conformal and Walking Dynamics in Large Nf Gauge Theo
Introduction Emergence of Conformal Symmetry in Gauge Theory Results: Six Flavor QCD at Finite Temperature General Motivation to Study Conformal Dynamics Discussion: Nf Dependence of Tc Goal and Strategy Summary and Future Works Table of Contents Introduction 1 Emergence of Conformal Symmetry in Gauge Theory General Motivation to Study Conformal Dynamics Goal and Strategy Results: Six Flavor QCD at Finite Temperature 2 Critical Coupling Determination in N f = 6 QCD-Like Theory Asymptotic Scaling Discussion: N f Dependence of T c 3 N f Dependence of T c / Λ L N f Dependence of T c / M : Use of UV Reference Scale M Summary and Future Works 4 Kohtaroh Miura A , M. Lombardo A , E. Pallante B A. Deuzeman C , and T. Silva B Lattice Study for Conformal and Walking Dynamics in Large Nf Gauge Theo
Introduction Emergence of Conformal Symmetry in Gauge Theory Results: Six Flavor QCD at Finite Temperature General Motivation to Study Conformal Dynamics Discussion: Nf Dependence of Tc Goal and Strategy Summary and Future Works Gauge Theory with IRFP S [ g ′ ] S [ g ] µ ′ µ B ( g , N c , N f ) = µ dg d µ . (1) g B ( g ) g ∗ IRFP Conformal g ∗ g µ Kohtaroh Miura A , M. Lombardo A , E. Pallante B A. Deuzeman C , and T. Silva B Lattice Study for Conformal and Walking Dynamics in Large Nf Gauge Theo
Introduction Emergence of Conformal Symmetry in Gauge Theory Results: Six Flavor QCD at Finite Temperature General Motivation to Study Conformal Dynamics Discussion: Nf Dependence of Tc Goal and Strategy Summary and Future Works 2-loop beta-function 0.8 N f = 6: (b 0 , b 1 )=(+,+) N f =12: (b 0 , b 1 )=(+, -) 0.6 N f =18: (b 0 , b 1 )=(- , -) 0.4 0.2 beta func. 0 g * =(-b 0 /b 1 ) 1/2 -0.2 -0.4 -0.6 -0.8 0 0.5 1 1.5 2 2.5 3 3.5 4 g B ( g , N c , N f ) = − g 3 ˆ b 0 ( N c , N f ) + b 1 ( N c , N f ) g 2 ˜ Kohtaroh Miura A , M. Lombardo A , E. Pallante B A. Deuzeman C , and T. Silva B Lattice Study for Conformal and Walking Dynamics in Large Nf Gauge Theo
Introduction Emergence of Conformal Symmetry in Gauge Theory Results: Six Flavor QCD at Finite Temperature General Motivation to Study Conformal Dynamics Discussion: Nf Dependence of Tc Goal and Strategy Summary and Future Works N f − N c Phase Diagram N f b =0 QED-Like 0 -b /b =N /6C [R] c CONFORMAL?? 0 1 2 chiral IRFP 16.5 b =0 1 Walking BZ-IR 8.05 appears QCD-Like 0 N c 2 3 c.f. Dietrich and Sannino (’07) Kohtaroh Miura A , M. Lombardo A , E. Pallante B A. Deuzeman C , and T. Silva B Lattice Study for Conformal and Walking Dynamics in Large Nf Gauge Theo
Introduction Emergence of Conformal Symmetry in Gauge Theory Results: Six Flavor QCD at Finite Temperature General Motivation to Study Conformal Dynamics Discussion: Nf Dependence of Tc Goal and Strategy Summary and Future Works (New) Strong Dynamics for Electroweak Phase Transition Composite Higgs: To avoid Higgs mass hierarchy problem. Walking Dynamics: To make masses of SM fermions ( �∋ ν ) without large FCNC current. « γ [ g 2 »Z Λ ETC � ¯ ∗ ] ˜– „ Λ ETC ΨΨ �| ETC g 2 ( µ ) Conformal = exp d (log µ ) γ ˆ − − − − − → . (2) � ¯ ΨΨ �| TC Λ TC Λ TC Kohtaroh Miura A , M. Lombardo A , E. Pallante B A. Deuzeman C , and T. Silva B Lattice Study for Conformal and Walking Dynamics in Large Nf Gauge Theo
Introduction Emergence of Conformal Symmetry in Gauge Theory Results: Six Flavor QCD at Finite Temperature General Motivation to Study Conformal Dynamics Discussion: Nf Dependence of Tc Goal and Strategy Summary and Future Works (New) Strong Dynamics for Electroweak Phase Transition Composite Higgs: To avoid Higgs mass hierarchy problem. Walking Dynamics: To make masses of SM fermions ( �∋ ν ) without large FCNC current. « γ [ g 2 »Z Λ ETC � ¯ ∗ ] ˜– „ Λ ETC ΨΨ �| ETC g 2 ( µ ) Conformal = exp d (log µ ) γ ˆ − − − − − → . (2) � ¯ ΨΨ �| TC Λ TC Λ TC Kohtaroh Miura A , M. Lombardo A , E. Pallante B A. Deuzeman C , and T. Silva B Lattice Study for Conformal and Walking Dynamics in Large Nf Gauge Theo
Introduction Emergence of Conformal Symmetry in Gauge Theory Results: Six Flavor QCD at Finite Temperature General Motivation to Study Conformal Dynamics Discussion: Nf Dependence of Tc Goal and Strategy Summary and Future Works (New) Strong Dynamics for Electroweak Phase Transition Composite Higgs: To avoid Higgs mass hierarchy problem. Walking Dynamics: To make masses of SM fermions ( �∋ ν ) without large FCNC current. « γ [ g 2 »Z Λ ETC � ¯ ∗ ] ˜– „ Λ ETC ΨΨ �| ETC g 2 ( µ ) Conformal = exp d (log µ ) γ ˆ − − − − − → . (2) � ¯ ΨΨ �| TC Λ TC Λ TC Kohtaroh Miura A , M. Lombardo A , E. Pallante B A. Deuzeman C , and T. Silva B Lattice Study for Conformal and Walking Dynamics in Large Nf Gauge Theo
Introduction Emergence of Conformal Symmetry in Gauge Theory Results: Six Flavor QCD at Finite Temperature General Motivation to Study Conformal Dynamics Discussion: Nf Dependence of Tc Goal and Strategy Summary and Future Works Summary-Table I: Lattice Studies for Conformal Window Fundamental Reps. N f = 16 : Damgaard et al.(’97, Meson Mass Analyses), A.Hasenfratz (’10, MCRG), Fodor et al.(’09, Mass Scaling Low) N f = 12 : Appelquist-Fleming-Neil(’08, Step-Scaling, Schrodinger-Functional), Fodor et al.(’09,’11), A.Hasenfratz(’10), Itou et al.(PoS2010, TPL), Deuzeman-Lombardo-Pallante(’08, Bulk-Trans., Const. Phys.), Mawninney et al.(’09), Kogut-Sinclair (’90). N f = 8 : Appelquist-Fleming-neil(’08), A.Hasenfratz(’10), Deuzeman-Lombardo-Pallante (’08, Finite T , a ( β c ) / a ( β ′ c ) = N ′ τ / N τ ). Ohki et al.(PoS2010, TPL, N c = 2). N f = 6 : LSF Collaboration (’10, Enhancement of PBP/ F 3 π ) , Miura-Lombardo-Pallante (Present, Finite T ). Kohtaroh Miura A , M. Lombardo A , E. Pallante B A. Deuzeman C , and T. Silva B Lattice Study for Conformal and Walking Dynamics in Large Nf Gauge Theo
Introduction Emergence of Conformal Symmetry in Gauge Theory Results: Six Flavor QCD at Finite Temperature General Motivation to Study Conformal Dynamics Discussion: Nf Dependence of Tc Goal and Strategy Summary and Future Works Summary-Table II: Lattice Studies for Conformal Window Other Representations: N f = 2 Symm.: Degrand-Shamir-Svetitsky (’10, N c = 3 Schrodinger-Functional), Fodor-Holland-Kuti-Nogradi-Schroeder (’09, N c = 3 Random-Matrix-Therory) Adjoint: Debbio-Lucini-Patella-Pica-Rago (’10, N c = 2, M PS / √ σ =Large), Hietanen-Rummukainen-Tuominen (’09, N c = 2, Schrodinger-Functional), Catterall-Giedt-Sannino-Schneible (’08, N c = 2, Meson Mass and String Tension) Kohtaroh Miura A , M. Lombardo A , E. Pallante B A. Deuzeman C , and T. Silva B Lattice Study for Conformal and Walking Dynamics in Large Nf Gauge Theo
Introduction Emergence of Conformal Symmetry in Gauge Theory Results: Six Flavor QCD at Finite Temperature General Motivation to Study Conformal Dynamics Discussion: Nf Dependence of Tc Goal and Strategy Summary and Future Works T − N f Phase Diagram: Functional Renormalization Group Braun-Gies ('06) 200 T c N f = 25 MeV 150 T c 100 Critical Exp. Analyses 50 0 4 6 8 12.9 2 10 12 N f ˛ 2 . 54 ˛ ˛ N f − N ∗ ˛ ∝ ( Braun-Gies(’06) ) , (3) T c f c . f . Miransky-Yamawaki Scaling (’97) . (4) Kohtaroh Miura A , M. Lombardo A , E. Pallante B A. Deuzeman C , and T. Silva B Lattice Study for Conformal and Walking Dynamics in Large Nf Gauge Theo
Recommend
More recommend
