34188098
Stochastic quantization and random surface approach to Polyakov string theory.
119709711
Serre presentations of Lie superalgebras
We prove an analogue of Serre’s theorem, which describes presentations in terms of Chevalley generators and Serre type relations for the finite dimensional simple contragredient Lie superalgebras relative to all possible choices of Borel sub-algebras.
122929166
Affine superalgebras, unitary representations and the sugawara construction
Abstract Unitary highest weight representations of the untwisted, affine, basic classical Lie superalgebras are considered. Unitary constraints (for both even and odd generators) relate the value of the central extension to the vacuum quantum numbers. The only consistent possibilities are for certain compact type I superalgebras, or for those type I and II superalgebras yielding spinor gradings of rigid two-dimensional conformal transformations. The Sugawara construction for these is presented and the value of the Virasoro central charge listed.
120111183
Grand unification and Grassmannian Kaluza-Klein theory
It is possible to construct a grand unified model, including gravity, by adjoining further anticommuting coordinates to space-time. We carry out this program for SU(5) and SO(10) unified models; curiously, the former is much more economical than the latter and simply requires five complex Grassmann variables ξm in addition to the four xμ.
123137669
Generalized Gel’fand invariants and characteristic identities for quantum groups
The generalized Gel’fand invariants for an arbitrary quantum group are explicitly constructed, and their eigenvalues in any irreducible representation are computed. These invariants enable one to develop characteristic identities for the quantum group, and as a natural application, these identities are used to construct projection operators for tensor products of representations. To illustrate the general theory, the quantum group Uq(gl(m)) is studied in detail.
6725107
Super duality and Kazhdan-Lusztig polynomials
We establish a direct connection between the representation theories of Lie algebras and Lie superalgebras (of type A) via Fock space reformulations of their Kazhdan-Lusztig theories. As a consequence, the characters of finite-dimensional irreducible modules of the general linear Lie superalgebra are computed by the usual parabolic Kazhdan-Lusztig polynomials of type A. In addition, we establish closed formulas for canonical and dual canonical bases for the tensor product of any two fundamental representations of type A.
858386
Chiral symmetry, quark mass, and scaling of the overlap fermions
The chiral symmetry relation and scaling of the overlap fermions are studied numerically on the quenched lattices at 3 couplings with about the same physical volume. We find that the generalized Gell-Mann-Oakes-Renner relation is satisfied to better than 1% down to the smallest quark mass at m(0)a = 0.006. We also obtain the quark mass from the PCAC relation and the pseudoscalar masses. The renormalization group invariant quark mass is shown to be fairly independent of scale. The pi and rho masses at a fixed m(pi)/m(rho) ratio indicate small O(a(2)) corrections. It is found that the critical slowing down sets in abruptly at a very small quark mass close to those of the physical u and d quarks.
35314072
Geometrical structure and critical phenomena in the fermion dynamical symmetry model: Sp(6).
38317170
New tripreon models with semisimple metacolor groups.
A systematic analysis of the /ital chiral/ tripreon models with SU(/ital N/)/times/SO(/ital M/)-metacolor symmetry is made. Unique solutions to the 't Hooft anomaly-matching condition with the Bars constraint are obtained for SU(3)/times/SO(5) models which also satisfy complementarity. Both the metacolor group and the gauged color-flavor subgroup of the metaflavor group are asymptotically free. A model which has a low-metacolor-energy scale and three generations of composite fermions with the quantum numbers of quarks and leptons of the standard model is obtained.
43009443
Thermodynamical properties and Coulomb instabilities in hot nuclear systems with the Gogny interaction.
The thermodynamical properties and Coulomb instability in hot nuclear system with Gogny interactions are studied by using the finite-temperature real-time Green{close_quote}s function method. The isotherms, critical temperature, limiting temperature, saturation density, and isothermal incompressibility for various temperatures and different asymmetric parameters are calculated. To illustrate the importance of the finite-range part and density-dependence part of the interaction, we have compared our results with that given by the Skyrme interaction and Brink-Boeker interaction. {copyright} {ital 1996 The American Physical Society.}
32989568
Constrained path quantum Monte Carlo method for fermion ground states.
We propose a new quantum Monte Carlo algorithm to compute fermion ground-state properties. The ground state is projected from an initial wave function by a branching random walk in an over-complete basis space of Slater determinants. By constraining the determinants according to a trial wave function {vert_bar}{Psi}{sub {ital T}}{r_angle}, we remove the exponential decay of signal-to-noise ratio characteristic of the sign problem. The method is variational and is exact if {vert_bar}{Psi}{sub {ital T}}{r_angle} is exact. We report results on the two-dimensional Hubbard model up to size 16{times}16, for various electron fillings and interaction strengths.