1,068 research outputs found
On the relation between Phi(1,2) and Phi(1,5) perturbed minimal models
We consider the RSOS S-matrices of the Phi(1,5) perturbed minimal models
which have recently been found in the companion paper [hep-th/9604098]. These
S-matrices have some interesting properties, in particular, unitarity may be
broken in a stronger sense than seen before, while one of the three classes of
Phi(1,5) perturbations (to be described) shares the same Thermodynamic Bethe
Ansatz as a related Phi(1,2) perturbation. We test these new S-matrices by the
standard Truncated Conformal Space method, and further observe that in some
cases the BA equations for two particle energy levels may be continued to
complex rapidity to describe (a) single particle excitations and (b) complex
eigenvalues of the Hamiltonian corresponding to non-unitary S-matrix elements.
We make some comments on identities between characters in the two related
models following from the fact that the two perturbed theories share the same
breather sector.Comment: LaTeX, 23 pages, 12 figures. Substantial revision of introductory
section, new discussion of complex eigenvalues and non-unitary S-matrice
Studying the Perturbed Wess-Zumino-Novikov-Witten SU(2)k Theory Using the Truncated Conformal Spectrum Approach
We study the Wess-Zumino-Novikov-Witten (WZNW) theory perturbed by
the trace of the primary field in the adjoint representation, a theory
governing the low-energy behaviour of a class of strongly correlated electronic
systems. While the model is non-integrable, its dynamics can be investigated
using the numerical technique of the truncated conformal spectrum approach
combined with numerical and analytical renormalization groups (TCSA+RG). The
numerical results so obtained provide support for a semiclassical analysis
valid at . Namely, we find that the low energy behavior is sensitive to
the sign of the coupling constant, . Moreover for this
behavior depends on whether is even or odd. With even, we find
definitive evidence that the model at low energies is equivalent to the massive
sigma model. For odd, the numerical evidence is more equivocal, but
we find indications that the low energy effective theory is critical.Comment: 30 pages, 19 eps figures, LaTeX2e file. Version 2: manuscript
accepted for publication; small changes in text and in one of the figure
Particle Formation and Ordering in Strongly Correlated Fermionic Systems: Solving a Model of Quantum Chromodynamics
In this paper we study a (1+1)-dimensional version of the famous
Nambu-Jona-Lasinio model of Quantum Chromodynamics (QCD2) both at zero and
finite hadron density. We use non-perturbative techniques (non-Abelian
bosonization and Truncated Conformal Space Approach). At zero density we
describe a formation of fermion three-quark (nucleons and -baryons) and
boson (two-quark mesons, six-quark deuterons) bound states and also a formation
of a topologically nontrivial phase. At finite hadron density, the model has a
rich phase diagram which includes phases with density wave and superfluid
quasi-long-range (QLR) order and also a phase of a baryon Tomonaga-Luttinger
liquid (strange metal). The QLR order results as a condensation of scalar
mesons (the density wave) or six-quark bound states (deuterons).Comment: 31 pages, pdflatex file, 7 figures; typos corrected, the version from
Phys. Rev.
Sine-Gordon multisoliton form factors in finite volume
Multi-soliton form factors in sine-Gordon theory from the bootstrap are
compared to finite volume matrix elements computed using the truncated
conformal space approach. We find convincing agreement, and resolve most of the
issues raised in a previous work.Comment: 24 pages, LaTeX2e file, 8 eps figures. v2: notations improved, some
explanatory text and references adde
Salute The Flag : March and Two Step
https://digitalcommons.library.umaine.edu/mmb-ps/2482/thumbnail.jp
The Eyes Of The World
https://digitalcommons.library.umaine.edu/mmb-vp/5538/thumbnail.jp
Viability Theorems Applied to the Leontieff Model
An economic application of viability theory is presented. The continuous-time Leontieff model is considered with a reference trajectory. The paper examines assumptions under which the economy can be kept around this trajectory. In the model the scarcity of goods is also taken into consideration
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