A high-resolution version for printing - CP3-Origins
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Strong Interactions<br />
The main objective of this project is to study the phase diagram of strongly interacting theories,<br />
using a variety of analytical and numerical methods. Our phase diagram together with the<br />
summary of the various theories very recently investigated via first lattice simulations is shown<br />
in Figure 1. Even very novel extensions of the SM, recently proposed by H. Georgi at Harvard,<br />
termed “unparticle” physics can make use of the knowledge of the phase diagram we are proposing<br />
to uncover.<br />
Non-SUSY Phase Diagram<br />
γ =1 γ =2<br />
Fund<br />
Ladder<br />
Adjoint - SU(2)<br />
Minimal Walking Technicolor<br />
Con<strong>for</strong>mal Chiral Symmetry Breaks Non QCD<br />
3<br />
SD Sannino Tuominen<br />
Ryttov Sannino<br />
2A<br />
Catterall, Sannino 07<br />
Catterall, Gidet, Sannino, Schneible 08<br />
Del Debbio, Patella, Pica 08<br />
Del Debbio et al.. 09<br />
Hietanen, Rummukainen, Tuominen 09<br />
Catterall, Giedt, Sannino Schneible 09<br />
Bursa, Del Debbio, Keegan, Pica, Pickup<br />
2<br />
Υ=1<br />
Dual<br />
Sannino<br />
2S<br />
Adj<br />
1<br />
Υ=2 Ryttov Sannino<br />
All Orders Beta Function<br />
Ryttov and F.S. 07<br />
Figure 1: Left panel: Our prediction <strong>for</strong> the phase diagram <strong>for</strong> SU(N) gauge theories with Nf fermions in various representations. The<br />
shaded areas correspond to scale invariant theories. The different colors indicate different representations of the underlying fermions.<br />
The dashed line correspond to the lower boundary obtained within the ladder approximation corresponding to the anomalous dimension<br />
of the fermion mass operator, i.e. gamma around one. The lower solid line <strong>for</strong> any window corresponds to the new bound found by<br />
us – corresponding to gamma equal two. Right panel: Blow up of the range of number of flavors <strong>for</strong> Dirac fermions in the adjoint representation<br />
corresponding to the Minimal Walking Technicolor (MWT) theory. The theoretical predictions using duality (Sannino 09), ladder<br />
approximation (Sannino-Tuominen 04) and all-orders beta function (Ryttov-Sannino 07) are reported together with the lattice simulations.<br />
The red diamond corresponds to simulations indicating that the MWT is con<strong>for</strong>mal while the yellow triangles indicate that the<br />
theory is not like QCD and might be either con<strong>for</strong>mal or near con<strong>for</strong>mal (walking).<br />
Gauge Dualities<br />
We uncovered novel solutions of the 't Hooft anomaly matching conditions <strong>for</strong> QCD and other<br />
strongly interacting theories. Interestingly in the perturbative regime the new gauge theories, if<br />
interpreted as a possible duals, predict the critical number of flavors above which the original<br />
theory, in the nonperturbative regime, develops an infrared stable fixed point. Remarkably this<br />
value is identical to the maximum bound predicted in the nonpertubative regime via the allorders<br />
conjectured beta function <strong>for</strong> nonsupersymmetric gauge theories.<br />
[QCD Dual. Francesco Sannino, (Southern Denmark U., <strong>CP3</strong>-<strong>Origins</strong>). <strong>CP3</strong>-ORIGINS-2009-6. Published in<br />
Phys.Rev.D80:065011,2009. e-Print: arXiv:0907.1364 [hep-th]<br />
Higher Representations Duals. Francesco Sannino, (Southern Denmark U., <strong>CP3</strong>-<strong>Origins</strong>) . <strong>CP3</strong>-ORIGINS-<br />
2009-13. Published in Nucl.Phys.B830:179-194,2010. e-Print: arXiv:0909.4584 [hep-th]]<br />
CP³-Black book 16