6,095 research outputs found
Cyclic Foam Topological Field Theories
This paper proposes an axiomatic for Cyclic Foam Topological Field theories.
That is Topological Field theories, corresponding to String theories, where
particles are arbitrary graphs. World surfaces in this case are two-manifolds
with one-dimensional singularities. We proved that Cyclic Foam Topological
Field theories one-to-one correspond to graph-Cardy-Frobenius algebras, that
are families , where are families of
commutative associative Frobenius algebras, is an graduated by graphes, associative
algebras of Frobenius type and is a family of special representations. There are
constructed examples of Cyclic Foam Topological Field theories and its
graph-Cardy-Frobenius algebrasComment: 14 page
Els canvis de l'olfacte en l'embaràs
És cert el que es diu sobre el canvi de les olors en la dona embarassada
Classical correlations of defects in lattices with geometrical frustration in the motion of a particle
We map certain highly correlated electron systems on lattices with
geometrical frustration in the motion of added particles or holes to the
spatial defect-defect correlations of dimer models in different geometries.
These models are studied analytically and numerically. We consider different
coverings for four different lattices: square, honeycomb, triangular, and
diamond. In the case of hard-core dimer covering, we verify the existed results
for the square and triangular lattice and obtain new ones for the honeycomb and
the diamond lattices while in the case of loop covering we obtain new numerical
results for all the lattices and use the existing analytical Liouville field
theory for the case of square lattice.The results show power-law correlations
for the square and honeycomb lattice, while exponential decay with distance is
found for the triangular and exponential decay with the inverse distance on the
diamond lattice. We relate this fact with the lack of bipartiteness of the
triangular lattice and in the latter case with the three-dimensionality of the
diamond. The connection of our findings to the problem of fractionalized charge
in such lattices is pointed out.Comment: 6 pages, 6 figures, 1 tabl
Correlators of hadron currents: the model and the ALEPH data on tau-decay
The model with the meson spectrum, consisting of zero-width equidistant
resonances, is considered with connection to current correlators in coordinate
space. The comparison of the explicit expressions for the correlators, obtained
in this model, with the experimental data of ALEPH collaboration on tau-decay
is made and good agreement is found.Comment: LaTeX, 8 pages, 3 figure
Thermodynamics of the 3-flavor NJL model : chiral symmetry breaking and color superconductivity
Employing an extended three flavor version of the NJL model we discuss in
detail the phase diagram of quark matter. The presence of quark as well as of
diquark condensates gives raise to a rich structure of the phase diagram. We
study in detail the chiral phase transition and the color superconductivity as
well as color flavor locking as a function of the temperature and chemical
potentials of the system.Comment: 27 pages, 7 figure
Counting Complex Disordered States by Efficient Pattern Matching: Chromatic Polynomials and Potts Partition Functions
Counting problems, determining the number of possible states of a large
system under certain constraints, play an important role in many areas of
science. They naturally arise for complex disordered systems in physics and
chemistry, in mathematical graph theory, and in computer science. Counting
problems, however, are among the hardest problems to access computationally.
Here, we suggest a novel method to access a benchmark counting problem, finding
chromatic polynomials of graphs. We develop a vertex-oriented symbolic pattern
matching algorithm that exploits the equivalence between the chromatic
polynomial and the zero-temperature partition function of the Potts
antiferromagnet on the same graph. Implementing this bottom-up algorithm using
appropriate computer algebra, the new method outperforms standard top-down
methods by several orders of magnitude, already for moderately sized graphs. As
a first application, we compute chromatic polynomials of samples of the simple
cubic lattice, for the first time computationally accessing three-dimensional
lattices of physical relevance. The method offers straightforward
generalizations to several other counting problems.Comment: 7 pages, 4 figure
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