# Tentative program

## March 22nd

- 09:45-10:00 Welcome
- 10:00-11:00 Structure of the thermal ground state in SU(2) quantum Yang-Mills theory
*Ralf Hofmann* - 11:00-12:00 High-loop order radiative corrections to the pressure in deconfining SU(2) Yang-Mills thermodynamics
*Ingolf Bischer*

- 14:00-15:00 SU(2)
_{CMB}at high redshifts and the value of H_{0}*Steffen Hahn* - 15:00-16:00 Topological excitations of SO(3)-fields
*Manfried Faber*

- 16:30:-17:30 Vacuum Polarization Energy of the Phi
^{6}kink*Herbert Weigel* - 17:30-18:30 Exact computations in topological U(1) Chern-Simons and BF theories
*Philippe Mathieu*

## March 23rd

- 10:00-11:00 Supersymmetric features of hadron physics and other novel properties of QCD from Light-Front Holography and Superconformal Quantum Mechanics
*Stanley J. Brodsky* - 11:00-12:00 Conformal, Superconformal. and Supersymmetric constraints on Light Front Holograpic QCD
*Hans Guenter Dosch*

- 14:00-15:00 1) Renormalization in Non-Perturbative, Gauge-Invariant QCD

2) The Birth and Death of a Universe.*Herbert M. Fried* - 15:00-16:00 Comparison of Gluon Bundle based QCD Curves with ISR Elastic pp Scattering Data
*Peter Tsang*

- 16:30-17:30 Hamiltonian approach to QCD in Coulomb gauge
*Hugo Reinhardt* - 17:30-18:30Dispersive approach to QCD and some of its applications
*Alexander V.Nesterenko*

## March 24th

- 10:00-11:00 A renormalization group approach to the universality of Wigner's semi-circle law for random matrices with dependent entries
*Thomas Krajewski* - 11:00-12:00 Relativistic Localizing Processes Bespeak an Inevitable Projective Geometry of the Spacetime
*Jacques L. Rubin*

- 14:00-15:00 On the emergence of the Coulomb forces in reducible quantum electrodynamics
*Jan Naudts* - 15:00-16:00 On the meaning of effective locality
*Thierry Grandou*

## SU(2)_{CMB} at high redshifts and the value of H_{0}

*Steffen Hahn*

One of the biggest problems in cosmology today lies in the discrepancy between the (high-z) calculated and measured value of the Hubble constant H_{0}.
Despite its great success this seems to arise because of an incompleteness of the commonly used
ΛCDM. Using a new (high-z) model, which assumes a replacement of the
conventional CMB photon gas by a SU(2) Yang-Mills thermodynamics, three flavours of massless neutrinos (N_{ν}), and a purely
baryonic matter sector (no (high-z) CDM), one obtains new values for the end of the recombination (z_{*} = 1720.98 ± 6.45) and
the radiation-drag epoch (z_{drag} = 1847.96 ±7.46). If one treats z_{*} as the redshift of baryon freeze-out (instead of z_{drag})
and calculates the corresponding sound horizon (r_{s}(z_{*}) = (135.44 ± 0.56) Mpc), the resulting H_{0, SU(2)} lies in the one-sigma
range of the intersection between the model independent (low-z) extraction of r_{s} H_{0} = Cst. and H_{0} = (73.24 ± 1.74) km s^{−1} Mpc^{−1}

## Conformal, Superconformal. and Supersymmetric constraints on Light Front Holograpic QCD

*Hans Guenter Dosch*

The Maldacena conjecture suggests that superconformal symmetry plays an important role in holographic theories. Indeed we show that the combination of superconformal quantum mechanics and light front holographic QCD leads to important constraints on the dynamics, which are well compatible with the hadron spectra.

ToP## High-loop order radiative corrections to the pressure in deconfining SU(2) Yang-Mills thermodynamics

*Ingolf Bischer*

We demonstrate that despite a strong suppressing effect of vertex constraints inherited from the thermalground state in the deconfining phase, radiative corrections to the thermal, free-quasiparticle pressure arise at any loop order. Investigating if the hierarchical suppression with increasing loop orders that is observed up to two-loop extends to higher orders, we calculate a particular three-loop correction, which is suppressed close to the critical temperature of the deconfining-preconfining phase transition. However, its high-temperature behaviour reveals the necessity to perform an all-loop-order resummation of the associated family of twoparticle irreducible bubble diagrams. Their resummation defines a well-bounded analytical continuation away from low temperatures.

ToP## Exact computations in topological U(1) Chern-Simons and BF theories

*Philippe Mathieu*

During this talk, we will introduce Deligne-Beilinson (DB) cohomology that classifies U(1)-connexions on 3-manifolds. We will show how the structure of DB classes provides a way to perform exact (non-perturbative) computations in U(1) Chern-Simons (CS) theory (resp. BF theory) at the level of functional integrals. We will see then that partition functions and observables of these theories are strongly related to topological invariants well-known by the mathematicians.

ToP## Relativistic Localizing Processes Bespeak an Inevitable Projective Geometry of the Spacetime

*Jacques L. Rubin*

Relativistic localizing systems made up from relativistic auto-locating positioning systems supplemented by an ancillary satellite are presented. The determination of such systems is motivated by the need to not only locate (within a grid) users utilizing receivers but, more generally, to localize any spacetime event. The angles measured on the celestial circles/spheres of the satellites enter into the definition. Therefore, they define, up to scalings, intrinsic physical coordinates related to the underlying conformal structure of spacetime. Moreover, they indicate that spacetime must be endowed everywhere with a local projective geometry characteristic of a so-called generalized Cartan space locally modeled on a real projective space. The particular process of localization is based, in a way, on an enhanced notion of parallax in space and time generalizing the usual parallax restricted to space only. The protocols of localization are presented in details with, in conclusion, possible applications in astrophysics.

ToP## Topological excitations of SO(3)-fields

*Manfried Faber*

We define a Lagrangian for a scalar SO(3)-field in Minkowski space and derive the equations of motion. We determine the topological excitations of these fields. The three degrees of freedom of the SO(3)-field are sufficient to get long-range Coulomb forces, mass as field energy, spin as a topological quantum number and 4-Pi rotations as characteristic of fermions. Due to a spontaneous breaking of symmetry two massless degrees of freedom appear which can be compared with the two polarisations of electromagnetic waves. A U(1) gauge symmetry is emerging.

ToP## Dispersive approach to QCD and some of its applications

*A.V.Nesterenko*

The dispersive approach to QCD, which extends the applicability range of perturbation theory towards the infrared domain, is applied to the study of the hadronic vacuum polarization function and related quantities. This approach merges the intrinsically nonperturbative constraints, which originate in the kinematic restrictions on the relevant physical processes, with corresponding perturbative input. The obtained hadronic vacuum polarization function agrees with pertinent lattice simulation data. The evaluated hadronic contributions to the muon anomalous magnetic moment and to the shift of the electromagnetic fine structure constant conform with recent estimations of these quantities.

ToP## Comparison of Gluon Bundle based QCD Curves with ISR Elastic pp Scattering Data

*Peter Tsang*

Using functional techniques for exact solutions to QCD processes, a simplified version of the amplitudes provides fits to the ISR data. Qualitative generalizations to initial LHC data are suggested, and are presently under consideration.

ToP## 1) Renormalization in Non-Perturbative, Gauge-Invariant QCD

## 2) The Birth and Death of a Universe.

*Herbert M. Fried*

1) The two fundamental quantities out of which all quantum "radiative corrections" are built are Gluon Bundles (each GB defines an infinite sum of gluons exchanged between any two quarks) and Closed Quark Loops, as noted in our previous papers on this subject. Renormalization here is such that only chain-loop-graphs and GBs, appear between quarks of different hadrons, carrying momentum transfer between those hadrons. All individual quark renormalizations vanish.

2)This presentation is meant to be a brief survey of several recent publications providing a simple, sequential explanation of Dark Energy, Inflation, and Dark Matter. This leads to an intuitive and qualitative picture of the Why and the How of the Big Bang, and thence to a possible understanding of the Birth and Death of a Universe. That very last step in the death of an Old Universe should involve the production of numerous Supermassive Black Holes, to be later discovered by astronomers of the New Universe.

ToP## Hamiltonian approach to QCD in Coulomb gauge

*Hugo Reinhardt*

I will review recent results obtained within the Hamiltonian approach to QCD in Coulomb gauge both at zero and finite temperatures. The temperature is introduced by compactifying a spatial dimension. Results are presented for the chiral and dual quark condensate as well as for the Polyakov loop.

ToP## A renormalization group approach to the universality of Wigner's semi-circle law for random matrices with dependent entries

*Thomas Krajewski*

Spectral properties of random matrices have many applications in physics, ranging from nuclear physics to disordered systems. This ubiquity can be traced back to the universality of spectral properties: whatever the distribution of the entries are, the spectral observables obey some universal laws when the size of the matrices become large. A simple example is Wigner's semi-circle law that describes the density of eigenvalues for a hermitian matrix whose entries are independent and identically distributed (iid). We extend it beyond the iid case, provided the cumulants obey a simple power law bound in the size of the matrix. To derive this result, we use the replica technique and a renormalisation group equation for the replica effective action. This is joint work with Vu Dinh Long (student at Ecole Polytechnique) and Adrian Tanasa (LABRI, Bordeaux).

ToP## On the emergence of the Coulomb forces in reducible quantum electrodynamics

*Jan Naudts*

Reducible quantum electrodynamics (QED) has been studied by Marek Czachor and coworkers. The main effect of allowing reducible representations is a modification of the canonical commutation and anti-commutation relations. Recently, the author has proposed a simplified version of the theory, with the aim to eliminate mathematical inconsistencies inherited from standard QED. A first result of the theory is a proof that free electrons and free photons can form bound states, much like the polaron states of solid state physics. The Hamiltonian is the usual one based on minimal coupling of the fields. As a means of studying the time evolution of dressed electron fields new field operators are introduced which again satisfy Maxwell's equations but now including Coulomb forces. This leads to the conclusion that the Coulomb forces are emergent, in the same sense as the emergence of gravity, discussed recently in the literature.

ToP## Supersymmetric features of hadron physics and other novel properties of QCD from Light-Front Holography and Superconformal Quantum Mechanics

*Stanley J. Brodsky*

A primary question in hadron physics is how the mass scale for hadrons emerges from the QCD Lagrangian, even in the limit of zero quark mass. I will present a new approach to color confinement and the emergence of the QCD mass scale, based on "light-front holography", a formalism which relates the bound-state amplitudes in the fifth dimension of AdS space to the boost-invariant light-front wavefunctions describing the structure of hadrons in physical space-time. The result is a nonperturbative, relativistic light-front quantum mechanical wave equation which incorporates color confinement and predicts the spectroscopic and dynamical features of hadron physics, including a massless pion for zero quark mass, form factors, structure functions, as well as linear Regge trajectories with identical slopes in the radial quantum number n and orbital angular momentum L for both mesons and baryons. One can extend the analysis using superconformal algebra where the hadronic eigensolutions form 2 X 2 supersymmetric representations of the conformal group. The resulting light-front bound-state equations predict striking similarities between the meson, baryon, and tetraquark spectra. The mass scale underlying the masses of the light-quark hadrons also determines the mass scale Λs which controls the evolution of the perturbative QCD coupling. The predicted hadronic light-front wavefunctions lead to a new understanding of the conversion of quarks and gluons to hadrons and jet hadronization at the amplitude level.

I will also discuss (1) a new mechanism for Higgs production at high longitudinal momentum at the LHC, and (2) applications of the Principle of Maximum Conformality (PMC), which sets the renormalization scale of perturbative QCD predictions for LHC reactions at every order unambiguously. The PMC predictions are independent of the choice of renormalization scheme and eliminate the n! renormalon divergence.

ToP## On the meaning of effective locality

*Thierry Grandou*

The formal property of "effective locality" surfaces at the level of the non-perturbative fermonic Green's functions of QCD, and, so far, rather appealing "tree-level" consequences could be derived out of it. Concerning its meaning however, effective locality remains somewhat enigmatic a property. For example, it comes about related to a mass scale whose real nature is an issue. An ongoing analysis has recently revealed an unexpected peculiarity of effective locality which will be the matter of this talk.

ToP## Vacuum Polarization Energy of the φ^{6} kink

*Herbert Weigel*

We propose an efficient method to compute the vacuum polarization energy of static field configurations that do not allow a decomposition
into symmetric and anti-symmetric channels in one space dimension. In particular we compute the vacuum polarization energy of the kink soliton
in the φ^{6} model. We link the dependence of this energy on the position of the center of the soliton to the different masses of the quantum
fluctuation at negative and postive spatial infinity.

## Structure of the thermal ground state in SU(2) quantum Yang-Mills theory

*Ralf Hofmann*

We review how the deconfining thermal ground state estimate is obtained in terms of a coarse-graining process over the (densely packed) central regions in Harrington-Shepard (anti)calorons. Due to the (anti)selfduality of these configurations, their staticity away from their centers, and certain spatial fall-off properties this entails electric and magnetic dipole densities. We show that the according permittivity and permability, within certain bounds, do not depend on the classical energy density nor frequency of the wave. In an next step, we derive an upper bound on the wavelength at given intensity where classical behaviour no longer can be expected due to a probing (anti)caloron centers. We also discuss the according thermal situation, and how at least two SU(2) of disparate Yang-Mills scales necessarily need to mix in order for their ground states to represent Lorentz invariance the way it is experimentally guaranteed to exist up to the gamma range.

ToP