2,843 research outputs found
Perturbation Theory in Angular Quantization Approach and the Expectation Values of Exponential Fields in Sin-Gordon Model
In angular quantization approach a perturbation theory for the Massive
Thirring Model (MTM) is developed, which allows us to calculate Vacuum
Expectation Values of exponential fields in sin-Gordon theory near the free
fermion point in first order of MTM coupling constant . The
Hankel-transforms play an important role when carrying out this calculations.
The expression we have found coincides with that of the direct expansion over
of the exact formula conjectured by S.Lukyanov and A.Zamolodchikov.Comment: 21 pages, no figures, LaTeX fil
Form-factors of exponential fields in the sine-Gordon model
An integral representation for form-factors of exponential fields in the
sine-Gordon model is proposed.Comment: 8 pages, harvmac.tex, added the formula (25) for two soliton
form-factors at the reflectionless point
Lukyanov's Screening Operators for the Deformed Virasoro Algebra
The BRST property of Lukyanov's screening operators in the bosonic
representation of the deformed Virasoro algebra is proven.Comment: Minor misprints correcte
Form factors of soliton-creating operators in the sine-Gordon model
We propose explicit expressions for the form factors, including their
normalization constants, of topologically charged (or soliton-creating)
operators in the sine-Gordon model. The normalization constants, which
constitute the main content of our proposal, allow one to find exact relations
between the short- and long-distance asymptotics of the correlation functions.
We make predictions concerning asymptotics of fermion correlation functions in
the massive Thirring model, SU(2)-Thirring model with anisotropy, and in the
half-filled Hubbard chain.Comment: 20 pages, 2 figures, harvmac.tex, references adde
Angular quantization and form-factors in massive integrable models
We discuss an application of the method of the angular quantization to
reconstruction of form-factors of local fields in massive integrable models.
The general formalism is illustrated with examples of the Klein-Gordon,
sinh-Gordon and Bullough-Dodd models. For the latter two models the angular
quantization approach makes it possible to obtain free field representations
for form-factors of exponential operators. We discuss an intriguing relation
between the free field representations and deformations of the Virasoro
algebra. The deformation associated with the Bullough-Dodd models appears to be
different from the known deformed Virasoro algebra.Comment: 23 pages, harvmac.te
An Equation of State for Anisotropic Solids under Shock Loading
An anisotropic equation of state is proposed for accurate extrapolation of
high-pressure shock Hugoniot states to other thermodynamics states for shocked
single crystals and polycrystalline alloys. The proposed equation of state
represents mathematical and physical generalization of the Mie-Gr\"{u}neisen
equation of state for isotropic material and reduces to this equation in the
limit of isotropy. Using an anisotropic nonlinear continuum framework and
generalized decomposition of a stress tensor [Int. J. Plasticity \textbf{24},
140 (2008)], the shock waves propagation along arbitrary directions in
anisotropic solids of any symmetry can be examined. The non-associated strength
model includes the distortion effect of the yield surface which can be used to
describe the anisotropic strength differential effect. A numerical calculation
showed that the general pulse shape, Hugoniot Elastic Limits (HELs), and
Hugoniot stress levels for aluminum alloy 7010-T6 agree with the experimental
data. The results are presented and discussed, and future studies are outlined.Comment: 6 pages, 2 figure
Multi-point Local Height Probabilities in the Integrable RSOS Model
By using the bosonization technique, we derive an integral representation for
multi-point Local Hight Probabilities for the Andrews-Baxter-Forrester model in
the regime III. We argue that the dynamical symmetry of the model is provided
by the deformed Virasoro algebra.Comment: 29 pages, harvmac.tex, 12 eps figures, epsf.tex, revised version,
corrections in subsection 4.2, the main results are unchange
Wave function renormalization constants and one-particle form factors in Toda field theories
We apply the method of angular quantization to calculation of the wave
function renormali- zation constants in affine Toda quantum field
theories. A general formula for the wave function renormalization constants in
ADE Toda field theories is proposed. We also calculate all one-particle form
factors and some of the two-particle form factors of an exponential field.Comment: harvmac, 28 pages, 2 eps figures, misprints correcte
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