QCD Vacuum Structure and Confinement

26 Aug 2024, 08:30 → 30 Aug 2024, 17:15 Europe/Athens

Georgios Savvidis (Nat. Cent. for Sci. Res. Demokritos (GR))

 

International Conference on
QCD Vacuum Structure and Confinement  (QCD-VSC-2024)

26 - 30 August 2024
Naxos Island of Cyclades, Greece

 The principal goal of the conference is to strengthen the growing communication between scientists working on different aspects of the Quantum Chromodynamics, Electroweak theory and Gravity, QCD vacuum structure and chromomagnetic condensate,Topology of Yang Mills vacuum fields, new topological invariants, quantum geometry,  monopole-antimonopole condensation, quark confinement, loop equations and turbulence, cosmology, the cosmological implication of the gauge field theory vacuum condensate, Large Scale Stucture of the Universe, high energy scattering experiments, high energy jets. We are looking forward to promoting a fruitful exchange of ideas and methods.  

International Advisory Committee

J. Ambjorn (Copenhagen), Y. Cho (Seoul), M. Duff (London), B. Durhuus (Copenhagen),  A. Niemi (Stockholm), Yen-Jie Lee (Boston), J. Greensite (San Francisco), R. Pasechnik (Lund),  P. Ko (Seoul), V. Skalozub (Dnipro), T. Tsukioka (Kyoto), D. Pak (Tashkent), I. Park (Seoul), Kei-Ichi Kondo (Chiba), A. Marciano (Fudan), Zhi-Wei Wang (Chengdu), M. Chernodub (Tours), H. Nielsen (Copenhagen),  P.-M. Zhang (Zhuhai), J. Frohlich (Zurich), T. Tomboulis (Los Angeles), T. Jonsson (Reykjavik), D. Johnston (Edinburgh), J. Wheater (Oxford),  G. Savvidy (INPP, Athens)

Local Organizing Committee

Konstantinos Papadopoulos (INPP, Athens), Spiros Konitopoulos (INPP, Athens), Kostas Filippas (INPP, Athens), George  Savvidy (INPP, Athens),

 

 

Monday, 26 August

1 Registration

Welcome speech

2 Were there any anomalies in the gluon jets in ALEPH?

According to the Abelian decomposition of QCD, there is a theoretical prediction that gluons can be classified into two types, each exhibiting distinct experimental signatures. The optimal setting for experimental verification of this theory is a clean environment such as the LEP, rather than the LHC. We have investigated whether there were any anomalies observed already in the gluon jets recorded in the ALEPH experiment and revisited the analyses with the archived ALEPH data. In this presentation, we will show our latest updates on our study on the gluon jet properties in ALEPH.

Speaker: Inkyu Park (University of Seoul, Department of Physics (KR))

3 Dual Theory of Decaying Turbulence

We have found an infinite dimensional manifold of exact solutions of the Navier-Stokes loop equation for the Wilson loop in decaying Turbulence in arbitrary dimension d > 2. This solution family is equivalent to a fractal curve in complex space Cd with random steps parametrized by N Ising variables σi = ±1, in addition to a rational number p q and an integer winding number r, related by ∑ σi = qr. This equivalence provides a dual theory describing a strong turbulent phase of the Navier Stokes flow in Rd space as a random geometry in a different space, like ADS/CFT correspondence in gauge theory. From a mathematical point of view, this theory implements a stochastic solution of the unforced Navier-Stokes equations. For a theoretical physicist, this is a quantum statistical system with integer-valued parameters, satisfying some number theory constraints. Its long-range interaction leads to critical phenomena when its size N → ∞ or its chemical potential µ → 0. The system with fixed N has different asymptotics at odd and even N → ∞, but the limit µ → 0 is well defined. The energy dissipation rate is analytically calculated as a function of µ using methods of number theory. It grows as ν/µ 2 in the continuum limit µ → 0, leading to anomalous dissipation at µ ∝ √ ν → 0. The same method is used to compute all the local vorticity distribution, which has no continuum limit but is renormalizable in the sense that infinities can be absorbed into the redefinition of the parameters. The small perturbation of the fixed manifold satisfies the linear equation we solved in a general form. This perturbation decays as t −λ , with a continuous spectrum of indexes λ in the local limit µ → 0. The spectrum is determined by a resolvent, which is represented as an infinite product of 3 ⊗ 3 matrices depending of the element of the Euler ensemble.

Speaker: Alexander Migdal (New York University, Abu Dhabi)

10:30 Coffee break

4 How Large is the Space of Covariantly Constant Gauge Fields

The covariantly constant gauge fields are solutions of the sourceless Yang-Mills equation and represent classical vacuum fields. We found that the moduli space of the covariantly constant gauge fields is infinite-dimensional and is therefore much larger than the space of constant chromomagnetic fields. These solutions represent a space lattice of non-perturbative magnetic flux tubes/vertices oriented in the opposite directions, each of which has a Dirac quantum flux. The geometrical structure of the solutions is self-sustaining without presence of any Higgs field support. They are similar to a condensate of the Nielsen-Olesen magnetic flux tubes of opposite orientations. The solutions have a non-vanishing Hopf invariant density.

Speaker: Georgios Savvidis (Nat. Cent. for Sci. Res. Demokritos (GR))

5 Conformal symmetry of the Nambu-Goto string

I consider a generalization of the Liouville action which corresponds to the Nambu-Goto
string like the usual Liouville action corresponds to the Polyakov string. The two differ by higher-derivative terms which are negligible classically but revive quantumly. I exactly solve the four-derivative case and argue that conformal symmetry of the Nambu-Goto
string in 4 dimensions is described by the (4,3) minimal model.

Speaker: Dr Yuri Makeenko (Niels Bohr Institute)

12:30 Launch break

6 Explorations in Metric-Affine Quadratic Gravity

Speaker: Kyriakos Tamvakis

17:15 Coffee break

7 Einstein - Cartan gravity and the early Universe

Abstract. It is well-known since the works of Utiyama and Kibble that the gravitational force can be obtained by gauging the Lorentz group, which puts gravity on the same footing as the Standard Model fields. The resulting theory - Einstein-Cartan gravity - happens to be very interesting. I will overview the construction of this theory and discuss its applications in particle physics and cosmology.

Speaker: Prof. Mikhail Shaposhnikov

8 Talk

Tuesday, 27 August

9 Lecture

10 Lecture

10:30 Coffee break

11 Lecture

12 Lecture

12:30 Launch break

13 Talk

17:15 Coffee break

14 Talk

15 Talk

Wednesday, 28 August

16 Lecture

17 Lecture

10:30 Coffee break

18 Lecture

19 Lecture

12:30 Launch break

20 Talk

17:15 Coffee break

21 Talk

22 Talk

Thursday, 29 August

23 Lecture

24 Lecture

10:30 Coffee break

25 Lecture

26 Lecture

12:30 Launch break

27 Talk

17:15 Coffee break

28 Talk

29 Talk

Friday, 30 August

30 Lecture

31 Lecture

10:30 Coffee brak

32 Lecture

33 Lecture

12:30 Launch break

34 Talk