Panel discussion: What don’t we know about confinement?

Alkofer, Reinhard; Diakonov, Dmitri; Pawlowski, Jan M.; Reinhardt, Hugo; Захаров, В. И.; Zwanziger, Daniel; Greensite, Jeff

doi:10.1063/1.3574936

Cited by 8 publications

(11 citation statements)

References 42 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Nevertheless our understanding of confinement is incomplete: the Euclidean space-time lattice Monte Carlo simulations cannot access the realtime aspects of the dynamical string formation and string breaking. Furthermore, even in the static case, it is not settled yet if one can fully describe the confinement mechanism -specifically the nonperturbative string formation -in terms of (semi-) local degrees of freedom (e.g., center vortices, magnetic monopoles) [20][21][22].…”

Section: Introductionmentioning

confidence: 99%

Confinement and String Breaking forQED2in the Hamiltonian Picture

et al. 2016

View full text Add to dashboard Cite

The formalism of matrix product states is used to perform a numerical study of (1+1)-dimensional QED -also known as the (massive) Schwinger model -in the presence of an external static 'quark' and 'antiquark'. We obtain a detailed picture of the transition from the confining state at short interquark distances to the broken-string 'hadronized' state at large distances and this for a wide range of couplings, recovering the predicted behavior in both the weak-and strong-coupling limit of the continuum theory. In addition to the relevant local observables like charge and electric field, we compute the (bipartite) entanglement entropy and show that subtraction of its vacuum value results in a UV-finite quantity. We find that both string formation and string breaking leave a clear imprint on the resulting entropy profile. Finally, we also study the case of fractional probe charges, simulating for the first time the phenomenon of partial string breaking.

show abstract

Section: Introductionmentioning

confidence: 99%

Confinement and String Breaking forQED2in the Hamiltonian Picture

et al. 2016

View full text Add to dashboard Cite

show abstract

“…As a matter of fact, the last confinement conference has hosted a panel discussion with the title "What don't we know about confinement?" [1]. Actually it turns out that there are many unanswered questions, and we do not even know if we already know all questions.…”

Section: Motivation: the Dual Superconductor Picture Of Confinementmentioning

confidence: 99%

“…The dual superconductor picture exploits an analogy to the Meißner-Ochsenfeld effect in type-II superconductors: The vacuum is assumed to contain condensed chromomagnetic monopoles 1 which squeeze the chromoelectric field lines between two colour charges into a flux tube. These vortex like structures can be identified best after an appropriate choice of gauge which singles out the Cartan subalgebra of the gauge group's Lie algebra.…”

Section: Motivation: the Dual Superconductor Picture Of Confinementmentioning

confidence: 99%

On the infrared behaviour of QCD Green functions in the Maximally Abelian gauge

Alkofer¹,

Huber²,

Mader³

et al. 2012

Proceedings of International Workshop on QCD Green's Functions, Confinement and Phenomenology — PoS(QCD-TNT-II)

View full text Add to dashboard Cite

Functional equations like exact renormalisation group and Dyson-Schwinger equations have contributed to a better understanding of non-perturbative phenomena in quantum field theories in terms of the underlying Green functions. In Yang-Mills theory especially the Landau gauge has been used, as it is the most accessible gauge for these methods. In the maximally Abelian gauge first results have been obtained which are very encouraging because Abelian infrared dominance has been found: The Abelian part of the gauge field propagator is enhanced at low momenta and thereby dominates the dynamics in the infrared. Also the ambiguity of two different types of solutions (decoupling and scaling) exists in both gauges. It is demonstrated how the two solutions are related in the maximally Abelian gauge. As in all two-point Dyson-Schwinger equations of the MAG the infrared dominant diagrams are sunset diagrams, in addition, a BPHZ regularisation and renormalisation of a test system with a sunset-like diagram is presented.

show abstract

“…The quark hypothesis was introduced in the QFT framework [15,16] more than half a century ago. However, the quark confinement problem still remains unsolved [17,18]. In this regard attempts to study quarks with the help of other possible approaches, in particular RQM methods, are of interest.…”

Section: Introductionmentioning

confidence: 99%