Eur. Phys. J. A (2015) 51: 45
https://doi.org/10.1140/epja/i2015-15045-8

Regular Article - Theoretical Physics

Domain wall network as QCD vacuum and the chromomagnetic trap formation under extreme conditions

Bogoliubov Laboratory of Theoretical Physics, JINR, 141980, Dubna, Russia

^* e-mail: nedelko@theor.jinr.ru

Received: 1 August 2014
Revised: 8 February 2015
Accepted: 27 March 2015
Published online: 20 April 2015

Abstract

The ensemble of Euclidean gluon field configurations represented by the domain wall network is considered. A single domain wall is given by the sine-Gordon kink for the angle between chromomagnetic and chromoelectric components of the gauge field. The domain wall separates the regions with Abelian self-dual and anti-self-dual fields. The network of the domain wall defects is introduced as a combination of multiplicative and additive superpositions of kinks. The character of the spectrum and eigenmodes of color-charged fluctuations in the presence of the domain wall network is discussed. Conditions for the formation of a stable thick domain wall junction (the chromomagnetic trap) during heavy-ion collisions are discussed, and the spectrum of color-charged quasi-particles inside the trap is evaluated. An important observation is the existence of the critical size of a single trap stable against gluon tachyonic modes. The size is related to the value of gluon condensate . The growth of large lumps of merged chromomagnetic traps and the concept of the confinement-deconfinement transition in terms of the ensemble of domain wall networks are outlined.