### Conveners

#### Section G

- Domenec Espriu Climent (University of Barcelona (ES))

#### Section G

- Ilias Kyritsis (University of Crete (GR) and APC (FR))

#### Section G

- Francesco Nitti (APC, Université Paris VII)

#### Section G

- Domenec Espriu Climent (University of Barcelona (ES))

### Description

Section G: Strongly Coupled Theories

Hints on the confinement/deconfinement mechanisms from supersymmetric and string theories; strongly coupled theories beyond the Standard Model; applications of nonperturbative methods of QCD to other fields.

Conveners: D. Espriu (U. Barcelona), Z. Fodor (BU Wuppertal), E. Kiritsis (APC and U. Crete), F. Sannino (CP3-Origins), A. Weiler (TU Munich)

Talk based on paper by

G. Triantaphyllou, EJTP 13, No. 35 (2016) 115–144

http://www.ejtp.com/articles/ejtpv13i35p115.pdf

We present the inelastic scattering between $\gamma\gamma$ into/out of a strongly interacting EWSBS satisfying unitarity. The matrix elements $V_L V_L\to V_L V_L $, $V_L V_L \to hh$, $hh\to hh$, $V_L V_L \to \gamma \gamma$ and $hh \to \gamma \gamma$ are al computed to NLO in perturbation theory with the Nonlinear Effective Theory of the EWSBS (within the Equivalence Theorem).

Describing the...

By means of forward sum-rules for γγ and gg scattering we show that a spin-0 resonance with mass of the order of the TeV and a sizable γγ or gg partial width -of the order of a few GeV- must be accompanied by higher spin resonances with JR≥2 with similar properties, as expected in strongly coupled extensions of the Standard Model or, alternatively, in higher dimensional deconstructed duals....

The fermonic Green’s functions of QCD exhibit an unexpected property of `effective locality’, which is exact. In the strong coupling limit, at quenching and eikonal approximations, effective locality implies a dependence of non-perturbative fermonic Green’s functions on both $C_{2f}$ and $C_{3f}$ Casimir operators, that is, on the full algebraic content of the $SU(3)$ rank-2 color algebra....

I will present recent progress on the lattice investigation of a nearly conformal gauge theory, SU(3) with 2 flavors of sextet fermions, that may realize a composite Higgs impostor scenario.

I will review some of the recent progress in determining the infrared behavior of two color gauge theory with fermions in fundamental or adjoint representation of the gauge group. Particular focus will be given to the theory with six Dirac fermions in the fundamental reptesentation.

We investigate the spectrum of the SU(2) gauge theory with

Nf = 2 flavors of fermions in the fundamental representation, in the

continuum, using Lattice simulations.

This model provides a minimal template which has been used for

different strongly coupled extensions of the Standard Model ranging from

composite (Goldstone) Higgs models to intriguing types of dark

matter candidates, such...

We study the effect of magnetic field $B$ on the critical temperature $T_{c}$ of the confinement-deconfinement phase transition in hard-wall AdS/QCD, and holographic duals of flavored and unflavored $\mathcal{N}=4$ super-Yang Mills theories on $\mathbb{R}^3\times \rm S^1$. For all of the holographic models, we find that $T_{c}(B)$ decreases with increasing magnetic field $B\ll T^2$, consistent...

The strong CP problem of QCD can be solved via the Peccei-Quinn mechanism. The resulting pseudo-Goldstone bosons, the axions are natural candidates for dark matter. In order to quantitatively understand axion dark matter production two important QCD inputs are required: the equation of state and the topological susceptibility at high temperatures. We determine these quantities and use them to...

It is based on https://arxiv.org/abs/1511.03868 as well as work which should appear soon.

In order to obtain a better understanding of QCD as well as possible strongly coupled extensions of the Standard Model it is important that we reliably can calculate anomalous dimensions of certain composite operators at fixed points. We show how to consistently calculate the mass anomalous dimension order by order in perturbation theory in a scheme independent manner. We compare our...

I will start by an introduction to holographic QCD, concentrating on bottom-up models where the backreaction of quarks to gluon dynamics is fully included (V-QCD models). The physics of theta angle and axial anomaly can be consistently included in such models. At small quark mass the models agree with effective field theory. I show how the Gell-Mann-Oakes-Renner relation for the mass of the...

The requirement of having a consistent S-matrix can impose highly non-trivial constraints on effective field theories. In particular, we show how supersymmetry constrains the effective action of N=4 SYM in the Coulomb branch and we introduce new constraints coming from breaking conformal symmetry in the form of soft theorems. Finally, we also discuss the interplay between scale and conformal...

We study scaling properties of the model of fully developed turbulence of a compressible fluid, based on the stochastic Navier-Stokes equation, by means of the field theoretic renormalization group (RG). This model was already considered earlier in [N.V. Antonov, M.Yu. Nalimov, and A.A. Udalov, Theor. Math. Phys., Vol. 110, No. 3, 1997]. The scaling properties in that approach are related to...

Accepting that there is a mass gap above the electroweak scale, electroweak effective theory (EWET) is an appropriate tool to describe this sector, where only the Standard Model fields are taken into account. Since the EWET couplings contain information on the unknown high-energy dynamics, we consider a generic strongly-coupled scenario of electroweak symmetry breaking, where the known...

Axial charge imbalance is an essential ingredient in novel effects related to the chiral anomaly like the chiral magnetic effect. In non-Abelian plasma with chiral fermions, local axial charge can be generated either by topological fluctuations of the medium or by usual thermal fluctuations. We show how local topological domains in the Quark Gluon Plasma lead to the dynamical generation of an...