arXiv subjects

Romuald Janik

Publications and source records attributed to Romuald Janik.

2 recordsLinked to original sources

arXiv1996

Chiral Random Matrix Models : Thermodynamics, Phase Transitions and Universality

For one flavour, we observe that standard chiral random matrix models are schematic variants of the Nambu-Jona-Lasinio (NJL) models whether in vacuum or matter. The ensuing thermodynamics is that of constituent quarks, with mean-field universality in general. For two and three flavours non-standard chiral random matrix models with $U_A(1)$ breaking are suggested. For three flavours the transition is reminiscent of the isotropic-nematic transition in liquid crystals.

hep-ph↗

arXiv1995

Modular Invariance and the Odderon

We identify a new symmetry for the equations governing odderon amplitudes, corresponding in the Regge limit of QCD to the exchange of 3 reggeized gluons. The symmetry is a modular invariance with respect to the unique normal subgroup of sl(2,Z) {\,} of index 2. This leads to a natural description of the Hamiltonian and conservation-law operators as acting on the moduli space of elliptic curves with a fixed ``sign'': elliptic curves are identified if they can be transformed into each other by an {\em even} number of Dehn twists.

hep-th↗