Confinement from correlation functions

Aspects of confinement from QCD correlation functions

We discuss the properties of ghost and gluon propagators in Landau gauge Yang-Mills theory and their relation to the confinement problem. In general two types of infrared behavior of these functions are allowed from their functional equations: scaling and decoupling. Both solutions show positivity violations in the gluon propagator and lead to a confining Polyakov loop potential. However, only ...

Finite Temperature Correlation Functions From Form Factors

Dense sphere packings from optimized correlation functions.

Elementary smooth functions (beyond contact) are employed to construct pair correlation functions that mimic jammed disordered sphere packings. Using the g_{2} -invariant optimization method of Torquato and Stillinger [J. Phys. Chem. B 106, 8354 (2002)], parameters in these functions are optimized under necessary realizability conditions to maximize the packing fraction varphi and average numbe...

Hadronic String from Confinement

The existence of hadronic string is derived as a consequence of confinement in QCD. A state of “stretched glue”, created by a Polyakov loop operator, is shown to have translational zero-modes which are stringy degrees of freedom. These modes are described by an effective string theory, valid for worldsheets which are locally flat on length scales of order Λ QCD, the dominant behavior being give...

Understanding Confinement From Deconfinement

We use effective magnetic SU(N) pure gauge theory with cutoff M and fixed gauge coupling gm to calculate non-perturbative magnetic properties of the deconfined phase of SU(N) Yang-Mills theory. We obtain the response to an external closed loop of electric current by reinterpreting and regulating the calculation of the one loop effective potential in Yang-Mills theory. This effective potential g...