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Diffusion model for SU(N) QCD screening

Accepted version
Peer-reviewed

Type

Article

Change log

Authors

Arcioni, G 
De Haro, S 
Gao, P 

Abstract

We consider a phenomenological model for the dynamics of Wilson loops in pure SU(N) QCD where the expectation value of the loop is the average over an interacting diffusion process on the group manifold SU(N). The interaction is provided by an arbitrary potential that generates the transition from the Casimir scaling regime into the screening phase of the four-dimensional gauge theory. The potential is required to respect the underlying center symmetry of the gauge theory, and this predicts screening of arbitrary SU(N) representations to the corresponding antisymmetric representations of the same N-ality. The stable strings before the onset of screening are therefore the k-strings. In the process we find a non-trivial but solvable modification of the QCD_2 matrix model that involves an arbitrary potential.

Description

Keywords

hep-th, hep-th, hep-ph, math-ph, math.MP

Journal Title

Physical Review D - Particles, Fields, Gravitation and Cosmology

Conference Name

Journal ISSN

1550-7998
1550-2368

Volume Title

73

Publisher

American Physical Society (APS)