Elena Gubankova

Breached pairing superfluidity: possible realization in QCD.

We propose a wide universality class of gapless superfluids, and analyze a limit that might be realized in quark matter at intermediate densities. In the breached pairing color superconducting phase heavy s quarks, with a small Fermi surface, pair with light u or d quarks. The ground state has a superfluid and a normal Fermi component simultaneously. We expect a second-order phase transition, as a function of increasing density, from the breached pairing phase to the conventional color-flavor locked phase.

Magnetic confinement and screening masses

Confined and deconfined phases are defined through nonperturbative correlators and nonperturbative background perturbation theory is used to compute the critical temperature

Dynamical regimes of the QCD string with light and heavy quarks

T_c

Flow equations for QED in the light front dynamics

and spatial string tension. Taking evolution along one of the spatial axes the set of Hamiltonians

Quantum corrected phase diagram of holographic fermions

H(n_1,n_2)

Breached superfluidity via p-wave coupling.

with different Matsubara frequencies is obtained. Meson and glueball screening masses and wave functions are computed for

Flow equations for gluodynamics in the Coulomb gauge

H(0,0)

Collective modes in asymmetric ultracold Fermi systems

and compared with available lattice data.Abstract Confined and deconfined phases are defined through nonperturbative correlators and nonperturbative background per-turbation theory is used to compute the critical temperature T c and spatial string tension. Taking evolution along one of the spatial axes the set of Hamiltonians H ( n 1 , n 2 ) with different Matsubara frequencies is obtained. Meson and glueball screening masses and wave functions are computed for H (0, 0) and compared with available lattice data.

Exciton-driven quantum phase transitions in holography

Abstract The generalization of the effective action of the quark-antiquark system at large distances [1] is performed for the case of arbitrary quark masses implementing the minimal area law for the averaged Wilson loop. The system is quantized by the path integral method and the quantum Hamiltonian is obtained. As well as in the equal masses case [1] two dynamical regimes are found: at large orbital excitations ( l ≫1) the system behaves as a string leading to linear Regge trajectories, while at small l one obtains a potential-like relativistic or nonrelativistic regime. The resulting spectra for these two regimes merge very smoothly. In the limiting cases of light-light and heavy-light mesons the unified description is obtained. For the Regge trajectories one gets nearly straight-line patterns with the slope very close to (1/2πσ) and 1/πσ correspondingly.Abstract The generalization of the effective action of the quark-antiquark system at large distances [1] is performed for the case of arbitrary quark masses implementing the minimal area law for the averaged Wilson loop. The system is quantized by the path integral method and the quantum Hamiltonian is obtained. As well as in the equal masses case [1] two dynamical regimes are found: at large orbital excitations ( l ≫1) the system behaves as a string leading to linear Regge trajectories, while at small l one obtains a potential-like relativistic or nonrelativistic regime. The resulting spectra for these two regimes merge very smoothly. In the limiting cases of light-light and heavy-light mesons the unified description is obtained. For the Regge trajectories one gets nearly straight-line patterns with the slope very close to (1/2πσ) and 1/πσ correspondingly.

Holographic Description of Strongly Correlated Electrons in External Magnetic Fields

The method of flow equations is applied to QED on the light front. Requiring that the partical number conserving terms in the Hamiltonian are considered to be diagonal and the other terms off-diagonal an effective Hamiltonian is obtained which reduces the positronium problem to a two-particle problem, since the particle number violating contributions are eliminated. No infrared divergencies appear. The ultraviolet renormalization can be performed simultaneously.