2,941 research outputs found
Improved Taylor Expansion method in the Ising model
We apply an improved Taylor expansion method, which is a variational scheme
to the Ising model in two dimensions. This method enables us to evaluate the
free energy and magnetization in strong coupling regions from the weak coupling
expansion, even in the case of a phase transition. We determine the approximate
value of the transition point using this scheme. In the presence of an external
magnetic field, we find both stable and metastable physical states.Comment: 13 pages, 9 figure
Dynamical Generation of Non-Abelian Gauge Group via the Improved Perturbation Theory
It was suggested that the massive Yang-Mills-Chern-Simons matrix model has
three phases and that in one of them a non-Abelian gauge symmetry is
dynamically generated. The analysis was at the one-loop level around a
classical solution of fuzzy sphere type. We obtain evidences that three phases
are indeed realized as nonperturbative vacua by using the improved perturbation
theory. It also gives a good example that even if we start from a trivial
vacuum, the improved perturbation theory around it enables us to observe
nontrivial vacua.Comment: 31 pages, published versio
Fuzzy Algebrae of the General Kaehler Coset Space G/H\otimesU(1)^k
We study the fuzzy structure of the general Kaehler coset space
G/S\otimes{U(1)}^k deformed by the Fedosov formalism. It is shown that the
Killing potentials satisfy the fuzzy algebrae working in the Darboux
coordinates.Comment: 8 pages, LaTex, no figur
Topological conformal field theory with a rational W potential and the dispersionless KP hierarchy
We present a new class of topological conformal field theories (TCFT)
characterized by a rational potential, which includes the minimal models of
A and D types as its subclasses. An explicit form of the potential is found
by solving the underlying dispersionless KP hierarchy in a particular small
phase space. We discuss also the dispersionless KP hierarchy in large phase
spaces by reformulating the hierarchy, and show that the potential takes a
universal form, which does not depend on a specific form of the solution in a
large space.Comment: 14 pages, plain TEX, KUL-TF-94/
N-fold Supersymmetry in Quantum Mechanics - Analyses of Particular Models -
We investigate particular models which can be N-fold supersymmetric at
specific values of a parameter in the Hamiltonians. The models to be
investigated are a periodic potential and a parity-symmetric sextic triple-well
potential. Through the quantitative analyses on the non-perturbative
contributions to the spectra by the use of the valley method, we show how the
characteristic features of N-fold supersymmetry which have been previously
reported by the authors can be observed. We also clarify the difference between
quasi-exactly solvable and quasi-perturbatively solvable case in view of the
dynamical property, that is, dynamical N-fold supersymmetry breaking.Comment: 32 pages, 10 figures, REVTeX
Equal-Spin Pairing State of Superfluid He in Aerogel
The equal-spin pairing (ESP) state, the so-called A-like phase, of superfluid
He in aerogels is studied theoretically in the Ginzburg-Landau (GL) region
by examining thermodynamics, and the resulting equilibrium phase diagram is
mapped out. We find that, among the ABM, planar, and robust pairing states, the
ABM state with presumably quasi long-ranged superfluid order is the best
candidate of the A-like phase with a strange lowering of the polycritical point
(PCP) observed experimentally.Comment: 4 pages, 1 figure, one reference added, accepted for publication in
Phys. Rev.
Improved Perturbation Method and its Application to the IIB Matrix Model
We present a new scheme for extracting approximate values in ``the improved
perturbation method'', which is a sort of resummation technique capable of
evaluating a series outside the radius of convergence. We employ the
distribution profile of the series that is weighted by nth-order derivatives
with respect to the artificially introduced parameters. By those weightings the
distribution becomes more sensitive to the ``plateau'' structure in which the
consistency condition of the method is satisfied. The scheme works effectively
even in such cases that the system involves many parameters. We also propose
that this scheme has to be applied to each observables separately and be
analyzed comprehensively.
We apply this scheme to the analysis of the IIB matrix model by the improved
perturbation method obtained up to eighth order of perturbation in the former
works. We consider here the possibility of spontaneous breakdown of Lorentz
symmetry, and evaluate the free energy and the anisotropy of space-time extent.
In the present analysis, we find an SO(10)-symmetric vacuum besides the SO(4)-
and SO(7)-symmetric vacua that have been observed. It is also found that there
are two distinct SO(4)-symmetric vacua that have almost the same value of free
energy but the extent of space-time is different. From the approximate values
of free energy, we conclude that the SO(4)-symmetric vacua are most preferred
among those three types of vacua.Comment: 52 pages, published versio
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