2,457 research outputs found
Light-Cone Quantization of the Liouville Model
We present the quantization of the Liouville model defined in light-cone
coordinates in (1,1) signature space. We take advantage of the representation
of the Liouville field by the free field of the Backl\"{u}nd transformation and
adapt the approch by Braaten, Curtright and Thorn.
Quantum operators of the Liouville field ,
, , are constructed consistently in
terms of the free field. The Liouville model field theory space is found to be
restricted to the sector with field momentum , , which
is a closed subspace for the Liouville theory operator algebra.Comment: 16 p, EFI-92-6
super KdV equation
We construct supersymmetric KdV equation as a hamiltonian flow on the
super Virasoro algebra. The KdV superfield, the hamiltonian
and the related Poisson structure are concisely formulated in
harmonic superspace. The most general hamiltonian is shown to necessarily
involve breaking parameters which are combined in a traceless rank 2
tensor. First nontrivial conserved charges of super KdV (of
dimensions 2 and 4) are found to exist if and only if the breaking
tensor is a bilinear of some vector with a fixed length proportional to
the inverse of the central charge of algebra. After the reduction
to this restricted version of super KdV goes over to the
integrable case of super KdV and so is expected to be integrable. We show
that it is bi-hamiltonian like its prototype.Comment: 11 pages, preprint ENSLAPP-L-415-9
Collective Coordinates and the Absence of Yukawa Coupling in the Classical Skyrme Model
In systems with constraints, physical states must be annihilated by the
constraints. We make use of this rule to construct physical asymptotic states
in the Skyrme model. The standard derivation of the Born terms with asymptotic
physical states shows that there is no Yukawa coupling for the Skyrmion. We
propose a remedy tested in other solitonic models: A Wilsonian action obtained
after integrating the energetic mesons and where the Skyrmion is a quantum
state should have a Yukawa coupling.Comment: LATE
Of Silos and Constellations: Comparing Notions of Originality in Copyright Law
Originality is a central theme in the efforts to understand human evolution, thinking, innovation, and creativity. Artists strive to be original, however the term is understood by each of them. It is also one of the major concepts in copyright law. This paper considers the evolution of the notion of originality since 2002 (when one of the coauthors published an article entitled Feist Goes Global: A Comparative Analysis Of The Notion Of Originality In Copyright Law) and continues the analysis, in particular whether the notion of creative choices, which seems to have substantial normative heft in several jurisdictions, is optimal when measured in more operational terms. The paper considers the four traditional silo-like notions of originality used in national legal systems and looks at the major international treaties for guidance in defining the parameters of an international notion of originality. It analyzes the silos and suggests that they take the form of constellations which cannot be defined or compared hierarchically or indeed as completely separate notions; rather, they overlap in myriad ways
Can Plane Wave Modes be Physical Modes in Soliton Models?
I show that plane waves may not be used as asymptotic states in soliton
models because they describe unphysical states. When asymptotic states are
taken to be physical there is no T-matrix of \cO(1).Comment: Latex. Published in Phys. Lett.
Spontaneous superconductivity and optical properties of high-Tc cuprates
We suggest that the high temperature superconductivity in cuprate compounds
may emerge due to interaction between copper-oxygen layers mediated by in-plane
plasmons. The strength of the interaction is determined by the c-axis geometry
and by the ab-plane optical properties. Without making reference to any
particular in-plane mechanism of superconductivity, we show that the interlayer
interaction favors spontaneous appearance of the superconductivity in the
layers. At a qualitative level the model describes correctly the dependence of
the transition temperature on the interlayer distance, and on the number of
adjacent layers in multilayered homologous compounds. Moreover, the model has a
potential to explain (i) a mismatch between the optimal doping levels for
critical temperature and superconducting density and (ii) a universal scaling
relation between the dc-conductivity, the superfluid density, and the
superconducting transition temperature.Comment: 4.4 pages, 2 figures; v2 matches the published version (clarifying
remarks and references are added
Soliton quantization and internal symmetry
We apply the method of collective coordinate quantization to a model of
solitons in two spacetime dimensions with a global symmetry. In
particular we consider the dynamics of the charged states associated with
rotational excitations of the soliton in the internal space and their
interactions with the quanta of the background field (mesons). By solving a
system of coupled saddle-point equations we effectively sum all tree-graphs
contributing to the one-point Green's function of the meson field in the
background of a rotating soliton. We find that the resulting one-point function
evaluated between soliton states of definite charge exhibits a pole on
the meson mass shell and we extract the corresponding S-matrix element for the
decay of an excited state via the emission of a single meson using the standard
LSZ reduction formula. This S-matrix element has a natural interpretation in
terms of an effective Lagrangian for the charged soliton states with an
explicit Yukawa coupling to the meson field. We calculate the leading-order
semi-classical decay width of the excited soliton states discuss the
consequences of these results for the hadronic decay of the resonance
in the Skyrme model.Comment: 23 pages, LA-UR-93-299
Central extensions, classical non-equivariant maps and residual symmetries
The arising of central extensions is discussed in two contexts. At first
classical counterparts of quantum anomalies (deserving being named as
"classical anomalies") are associated with a peculiar subclass of the
non-equivariant maps. Further, the notion of "residual symmetry" for theories
formulated in given non-vanishing EM backgrounds is introduced. It is pointed
out that this is a Lie-algebraic, model-independent, concept.Comment: 8 pages, LaTex. Talk given at the International Conference
"Renormalization Group and Anomalies in Gravitation and Cosmology", Ouro
Preto, Brazil, March 2003. To appear in the Proceeding
Generalized KdV and Quantum Inverse Scattering Description of Conformal Minimal Models
We propose an alternative description of 2 dimensional Conformal Field Theory
in terms of Quantum Inverse Scattering. It is based on the generalized KdV
systems attached to , yielding the classical limit of Virasoro as
Poisson bracket structure. The corresponding T-system is shown to coincide with
the one recently proposed by Kuniba and Suzuki. We classify the primary
operators of the minimal models that commute with all the Integrals of Motion,
and that are therefore candidates to perturb the model by keeping the
conservation laws. For our structure these happen to be
, in contrast to the case,
studied by Bazhanov, Lukyanov and Zamolodchikov~\cite{BLZ}, related to
.Comment: 12 pages, latex. 1 reference adde
UAlbany Faculty OER Showcase, Catherine Dwyer Director of Scholarly Communications
Julia Hastings presentation: 0:00-16:05
Elise Gervais presentation: 16:05-26:06
Marcus Adams presentation: 26:06-41:45
The slides that Marcus Adams used for his presentation are available for download
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