Modern Physics Letters A

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SURPRISES IN NONPERTURBATIVE DYNAMICS IN σ-MODEL AT FINITE DENSITY
Modern Physics Letters A - Tập 19 Số 18 - Trang 1341-1356 - 2004
V. P. Gusynin, V. A. Miransky, I. A. Shovkovy
The linear SU (2)L× SU (2)R σ-model occupies a unique place in elementary particle physics and quantum field theory. It has been recently realized that when a chemical potential for hypercharge is added, it becomes a toy model for the description of the dynamics of the kaon condensate in high density QCD. We review recent results in nonperturbative dynamics obtained in the ungauged and gauged vers... hiện toàn bộ
LANDAU-GINZBURG TOPOLOGICAL THEORIES IN THE FRAMEWORK OF GKM AND EQUIVALENT HIERARCHIES
Modern Physics Letters A - Tập 08 Số 11 - Trang 1047-1061 - 1993
S. Kharchev, A. Marshakov, А. Миронов, А. Морозов
We consider the deformations of "monomial solutions" to generalized Kontsevich. model1,2 and establish the relation between the flows generated by these deformations with those of N = 2 Landau-Ginzburg topological theories. We prove that the partition function of a generic generalized Kontsevich model can be presented as a product of some "quasiclassical" factor and non-deformed partition function... hiện toàn bộ
REMARKS ON REALIZING CLASSICAL AND QUANTUM W3 SYMMETRY
Modern Physics Letters A - Tập 06 Số 32 - Trang 2977-2984 - 1991
N. Mohammedi
The relation between Jordan algebras and the nonlinear W3 algebra is explored quantum mechanically. Realization of classical W3 symmetry assumes the existence of some constant coefficients dijk (i,j,k = 1, … D) obeying some algebraic constraints. Recent works produced solutions to these constraints and established a link with Jordan algebras for the four special dimensions D = 5, 8, 14 and 26. In ... hiện toàn bộ
CANONICAL QUANTIZATION OF A RIGID PARTICLE
Modern Physics Letters A - Tập 05 Số 30 - Trang 2491-2495 - 1990
Jan Isberg, Ulf Lindström, H. Nordström, J. Grundberg
We quantize a rigid particle with a rigidity term proportional to the square of the extrinsic curvature of the particle's world-line using the Dirac-Bergmann scheme. Problems concerning higher order derivatives and second class constraints are avoided by using an action with an auxiliary field and one extra gauge symmetry. We find a spectrum with integer spin states only.
MASSLESS POINT PARTICLE WITH RIGIDITY
Modern Physics Letters A - Tập 04 Số 09 - Trang 837-847 - 1989
Mikhail S. Plyushchay
The model of relativistic particle with rigidity whose action A=−α∫ kds depends on the curvature of particle world trajectory k, is studied. The classical motion of the particle is shown to go along a helical line at superrelativistic velocity and its translational motion along the momentum direction—at the velocity of light (c). After quantization, the parameter a becomes integer, α=n, n>0. The q... hiện toàn bộ
CANONICAL QUANTIZATION AND MASS SPECTRUM OF RELATIVISTIC PARTICLE ANALOGUE OF RELATIVISTIC STRING WITH RIGIDITY
Modern Physics Letters A - Tập 03 Số 13 - Trang 1299-1308 - 1988
Mikhail S. Plyushchay
The generalized model of relativistic particle is studied. Its action contains the term for a free particle of mass m together with an additional term proportional to the curvature of its world trajectory. From the full set of Hamiltonian constraints, the mass shell condition is singled out and canonical quantization of the model is performed. The quantized system is shown to be equivalent to rela... hiện toàn bộ
TENSORIAL CENTRAL CHARGES AND NEW SUPERPARTICLE MODELS WITH FUNDAMENTAL SPINOR COORDINATES
Modern Physics Letters A - Tập 14 Số 19 - Trang 1257-1272 - 1999
Igor A. Bandos, J. Lukierski
We consider firstly simple D=4 superalgebra with six real tensorial central charges Zμν, and discuss its possible realizations in massive and massless cases. Massless case is dynamically realized by generalized Ferber–Shirafuji (FS) model with fundamental bosonic spinor coordinates. The Lorentz invariance is not broken due to the realization of central charges generators in terms of bosonic spinor... hiện toàn bộ
COVARIANT QUANTIZATION OF MASSLESS SUPERPARTICLE IN 4-DIMENSIONAL SPACE-TIME: TWISTOR APPROACH
Modern Physics Letters A - Tập 04 Số 19 - Trang 1827-1837 - 1989
Mikhail S. Plyushchay
With the help of Penrose twistor approach by introducing the auxiliary “Stückelberg” degrees of freedom, the “extended” model of massless superparticle is constructed in 4-dimensional space-time, which is equivalent to the original Brink-Schwarz model. The covariant operator quantization of the obtained system is performed in the cases of N=1 and extended supersymmetries. It is shown that there ar... hiện toàn bộ
MATRIX MODEL PERTURBED BY HIGHER ORDER CURVATURE TERMS
Modern Physics Letters A - Tập 07 Số 33 - Trang 3081-3100 - 1992
G.P. Korchemsky
The critical behavior of the D=0 matrix model with the potential perturbed by a nonlocal term generating touchings between random surfaces is studied. It is found that the phase diagram of the model has many features of the phase diagram of discretized Polyakov’s bosonic string with higher order curvature terms included. It contains the phase of smooth (Liouville) surfaces, the intermediate phase ... hiện toàn bộ
NEW CRITICAL BEHAVIOR IN d = 0 LARGE-N MATRIX MODELS
Modern Physics Letters A - Tập 05 Số 13 - Trang 1041-1056 - 1990
Sumit R. Das, Avinash Dhar, Anirvan M. Sengupta, Spenta R. Wadia
The non-perturbative formulation of 2-dimensional quantum gravity in terms of the large-N limit of matrix models is studied to include the effects of higher order curvature terms. This leads to matrix models whose potential contains a symmetry breaking term of the form Tr ϕAϕA, where A is a given fixed matrix. This is studied in d = 0 dimensions and effectively induces additional terms of the form... hiện toàn bộ
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