Uniaxial nematic liquid crystals are modelled in the Oseen-Frank theory through a unit vector field n. This theory has the apparent drawback that it does not respect the head-to-tail symmetry in which n should be equivalent to -n. This symmetry is preserved in the constrained Landau de Gennes theory that works with the tensor Q = s ( n⊗ n− 1 3 Id ) . We study the differences and the overlaps be...

In this paper, we calculate theoretically the relaxation rates of hot, thermal and antinodal quasiparticles by using Fermi’s golden rule. The transition probabilities at low temperatures express in terms of Bogoliubov coefficients, singlet and triplet scattering amplitudes and dimensionless Landau parameters. The values of Landau parameters may be determined by comparison with the experimental ...

Within bosonization theory we introduce in this paper a new definition of ”quasi-particles” for interacting fermions at arbitrary space dimenions. In dimensions higher than one we show that the constructed quasi-particles are consistent with quasi-particle descriptions in Landau Fermi liquid theory whereas in one-dimension the ”quasi-particles” are non-perturbative objects (spinons and holons) ...

We present a theory of orientational order in nematic liquid crystals which interpolates between several distinct approaches based on the director field (Oseen and Frank), order parameter tensor (Landau and de Gennes), and orientation probability density function (Onsager). As in density-functional theories, the suggested free energy is a functional of spatially-dependent orientation distributi...

The low energy effective theory of N = 4 super-Yang-Mills theory on S 3 with an R-symmetry chemical potential is shown to be the lowest Landau level system. This theory is a holomorphic complex matrix quantum mechanics. When the value of the chemical potential is not far below the mass of the scalars, the states of the effective theory consist only of the half-BPS states. The theory is solved b...

In this paper we propose a new way of organizing many-body perturbation theory in the Path-integral formulation where a set of quasi-particle wavefunctionals ψ’s are introduced and are identified with quasi-particles in Landau Fermi liquid theory. We show how Fermi liquid theory can be obtained through ψ’s in this new framework of perturbation theory, where the only assumption is adiabaticity b...

Abstract The hybrid model is the Landau–Ginzburg-type theory that expected, via Landau–Ginzburg/ Calabi–Yau correspondence, to match Gromov–Witten of a complete intersection in weighted projective space. We prove wall-crossing formula exhibiting dependence genus-zero on its stability parameter, generalizing work [21] for quantum singularity and paralleling Ciocan-Fontanine–Kim [7] quasimaps. Th...

Lattice Monte Carlo simulations are performed for the SU(2) Yang Mills gauge theory in the presence of an Abelian background with external sources to obtain information on the effective potential. The goal is to investigate the lowest Landau mode that, in the continuum one-loop effective potential, is the crucial mode for instability. It is shown that also in the lattice formulation this lowest...

The flat histogram Monte Carlo algorithms have been successfully used in many problems in scientific computing.However, there is no a rigorous theory for the convergence of the algorithms. In this paper, a modified flat histogram algorithm is presented and its convergence is studied. The convergence of the multicanonical algorithm and the Wang-Landau algorithm is argued based on their relations...

I review a new superconductivity mechanism in which the gap is opened through topological and not Landau of spontaneous symmetry breaking. As consequence, low-energy effective theory describes these superconductors Landau–Ginzburg theory, formulated terms local-order parameter, but topological-field emerging gauge fields. This realized as global superconductivty Josephson junction arrays thin s...