Introduction Results Further Discussion: Two-Loop Asymptotics Scaling Analyses Summary and Future Works Thermodynamic Lattice Study for Preconformal Dynamics in Strongly Flavored QCD-Like Theory 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 KMI-SCGT, Nagoya Univ. Dec. 04, 2012 Reference K. Miura, M. P. Lombardo and E. Pallante, Phys. Lett. B 710 (2012) 676. K. Miura, M. P. Lombardo and E. Pallante, PoS Lattice 2011, arXiv:1111.1098 [hep-lat]. Kohtaroh Miura A , M. Lombardo A E. Pallante B , A. Deuzeman C , and T. Silva B Thermodynamic Lattice Study for Preconformal Dynamics in Strongly Flavo
Introduction Results Emergence of IR-Conformality in Gauge Theory Further Discussion: Two-Loop Asymptotics Scaling Analyses Motivation Summary and Future Works QCD: Negative Beta-Func. Nf beta g QCD 3 anti-screening > screening Kohtaroh Miura A , M. Lombardo A E. Pallante B , A. Deuzeman C , and T. Silva B Thermodynamic Lattice Study for Preconformal Dynamics in Strongly Flavo
Introduction Results Emergence of IR-Conformality in Gauge Theory Further Discussion: Two-Loop Asymptotics Scaling Analyses Motivation Summary and Future Works Loss of Asymptotic Freedom at Large N f beta Nf g QED-Like anti-screening < screening 16.5 beta g QCD 3 anti-screening > screening Kohtaroh Miura A , M. Lombardo A E. Pallante B , A. Deuzeman C , and T. Silva B Thermodynamic Lattice Study for Preconformal Dynamics in Strongly Flavo
Introduction Results Emergence of IR-Conformality in Gauge Theory Further Discussion: Two-Loop Asymptotics Scaling Analyses Motivation Summary and Future Works Emergence of Conformality in Perturbation beta Nf QED-Like g 16.5 beta g g * * N Conformal Trans. (2nd.) f Miransky-Yamawaki ('97) * c.f.: 2loop N = 8.05, Banks-Zaks ('82) f QCD beta 3 g Kohtaroh Miura A , M. Lombardo A E. Pallante B , A. Deuzeman C , and T. Silva B Thermodynamic Lattice Study for Preconformal Dynamics in Strongly Flavo
Introduction Results Emergence of IR-Conformality in Gauge Theory Further Discussion: Two-Loop Asymptotics Scaling Analyses Motivation Summary and Future Works Four-Loop Example 4-loop beta-function, MS-bar Scheme 4-loop Running Coupling, MS-bar Scheme 3 5 N f = 7.335 N f = 7.335 N f = 8.0 N f = 8.0 2 4 1 3 g 2 /4 π 0 α = − β 2 -1 1 -2 0 -3 -4 -2 0 2 4 0 1 2 3 4 5 6 7 log( − µ ) g Kohtaroh Miura A , M. Lombardo A E. Pallante B , A. Deuzeman C , and T. Silva B Thermodynamic Lattice Study for Preconformal Dynamics in Strongly Flavo
Introduction Results Emergence of IR-Conformality in Gauge Theory Further Discussion: Two-Loop Asymptotics Scaling Analyses Motivation Summary and Future Works IRFP Conformality The emergence of IRFP Conformality due to the Non-Perturbative Gauge Interaction leads to a new class of a gauge theory different from both QCD and QED. (Lattice Reviews: Pallante, PoS LAT2009; Del Debbio, PoS LAT2010; Neil, PoS Lat2011). The IRFP (pre-)conformal dynamics plays an essential role in a technicolor model to implement a mass of standard model particles with avoiding too much FCNC (Review: Yamawaki (’96), Sannino (’06), Chivukula (’12)). The FRG method (Braun-Gies ’06-11) and the Gauge/Gravity model (Kiritsis et.al.(’08 - ’12), Kajantie et.al. (’09 - ’12), c.f. Panero (’09)) indicates that a cold conformal phase and a hot QGP phase is continuously connected at large N f . In other words, the vanishing of the thermal chiral transition with increasing N f indicates the onset of the conformal phase. Partly motivated by recent works of Shuryak (’12), the vanishing of the chiral dynamics is also elucidated by introducing the notion of a thermal critical coupling, whose approach to the IRFP coupling indicates the emergence of the conformal phase. Kohtaroh Miura A , M. Lombardo A E. Pallante B , A. Deuzeman C , and T. Silva B Thermodynamic Lattice Study for Preconformal Dynamics in Strongly Flavo
Introduction Results Emergence of IR-Conformality in Gauge Theory Further Discussion: Two-Loop Asymptotics Scaling Analyses Motivation Summary and Future Works IRFP Conformality The emergence of IRFP Conformality due to the Non-Perturbative Gauge Interaction leads to a new class of a gauge theory different from both QCD and QED. (Lattice Reviews: Pallante, PoS LAT2009; Del Debbio, PoS LAT2010; Neil, PoS Lat2011). The IRFP (pre-)conformal dynamics plays an essential role in a technicolor model to implement a mass of standard model particles with avoiding too much FCNC (Review: Yamawaki (’96), Sannino (’06), Chivukula (’12)). The FRG method (Braun-Gies ’06-11) and the Gauge/Gravity model (Kiritsis et.al.(’08 - ’12), Kajantie et.al. (’09 - ’12), c.f. Panero (’09)) indicates that a cold conformal phase and a hot QGP phase is continuously connected at large N f . In other words, the vanishing of the thermal chiral transition with increasing N f indicates the onset of the conformal phase. Partly motivated by recent works of Shuryak (’12), the vanishing of the chiral dynamics is also elucidated by introducing the notion of a thermal critical coupling, whose approach to the IRFP coupling indicates the emergence of the conformal phase. Kohtaroh Miura A , M. Lombardo A E. Pallante B , A. Deuzeman C , and T. Silva B Thermodynamic Lattice Study for Preconformal Dynamics in Strongly Flavo
Introduction Results Emergence of IR-Conformality in Gauge Theory Further Discussion: Two-Loop Asymptotics Scaling Analyses Motivation Summary and Future Works IRFP Conformality The emergence of IRFP Conformality due to the Non-Perturbative Gauge Interaction leads to a new class of a gauge theory different from both QCD and QED. (Lattice Reviews: Pallante, PoS LAT2009; Del Debbio, PoS LAT2010; Neil, PoS Lat2011). The IRFP (pre-)conformal dynamics plays an essential role in a technicolor model to implement a mass of standard model particles with avoiding too much FCNC (Review: Yamawaki (’96), Sannino (’06), Chivukula (’12)). The FRG method (Braun-Gies ’06-11) and the Gauge/Gravity model (Kiritsis et.al.(’08 - ’12), Kajantie et.al. (’09 - ’12), c.f. Panero (’09)) indicates that a cold conformal phase and a hot QGP phase is continuously connected at large N f . In other words, the vanishing of the thermal chiral transition with increasing N f indicates the onset of the conformal phase. Partly motivated by recent works of Shuryak (’12), the vanishing of the chiral dynamics is also elucidated by introducing the notion of a thermal critical coupling, whose approach to the IRFP coupling indicates the emergence of the conformal phase. Kohtaroh Miura A , M. Lombardo A E. Pallante B , A. Deuzeman C , and T. Silva B Thermodynamic Lattice Study for Preconformal Dynamics in Strongly Flavo
Introduction Results Emergence of IR-Conformality in Gauge Theory Further Discussion: Two-Loop Asymptotics Scaling Analyses Motivation Summary and Future Works IRFP Conformality The emergence of IRFP Conformality due to the Non-Perturbative Gauge Interaction leads to a new class of a gauge theory different from both QCD and QED. (Lattice Reviews: Pallante, PoS LAT2009; Del Debbio, PoS LAT2010; Neil, PoS Lat2011). The IRFP (pre-)conformal dynamics plays an essential role in a technicolor model to implement a mass of standard model particles with avoiding too much FCNC (Review: Yamawaki (’96), Sannino (’06), Chivukula (’12)). The FRG method (Braun-Gies ’06-11) and the Gauge/Gravity model (Kiritsis et.al.(’08 - ’12), Kajantie et.al. (’09 - ’12), c.f. Panero (’09)) indicates that a cold conformal phase and a hot QGP phase is continuously connected at large N f . In other words, the vanishing of the thermal chiral transition with increasing N f indicates the onset of the conformal phase. Partly motivated by recent works of Shuryak (’12), the vanishing of the chiral dynamics is also elucidated by introducing the notion of a thermal critical coupling, whose approach to the IRFP coupling indicates the emergence of the conformal phase. Kohtaroh Miura A , M. Lombardo A E. Pallante B , A. Deuzeman C , and T. Silva B Thermodynamic Lattice Study for Preconformal Dynamics in Strongly Flavo
Introduction Results Emergence of IR-Conformality in Gauge Theory Further Discussion: Two-Loop Asymptotics Scaling Analyses Motivation Summary and Future Works Table of Contents Introduction 1 Emergence of IR-Conformality in Gauge Theory Motivation Results 2 Measurements and Lattice Outputs N ∗ f from Vanishing Thermal step scalings N ∗ f from Thermal Critical Coupling g c T N ∗ f from Vanishing Critical Temperature T c Further Discussion: Two-Loop Asymptotics Scaling Analyses 3 Summary and Future Works 4 Kohtaroh Miura A , M. Lombardo A E. Pallante B , A. Deuzeman C , and T. Silva B Thermodynamic Lattice Study for Preconformal Dynamics in Strongly Flavo
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