737 research outputs found
Entanglement through conformal interfaces
We consider entanglement through permeable interfaces in the c=1
(1+1)-dimensional conformal field theory. We compute the partition functions
with the interfaces inserted. By the replica trick, the entanglement entropy is
obtained analytically. The entropy scales logarithmically with respect to the
size of the system, similarly to the universal scaling of the ordinary
entanglement entropy in (1+1)-dimensional conformal field theory. Its
coefficient, however, is not constant but controlled by the permeability, the
dependence on which is expressed through the dilogarithm function. The
sub-leading term of the entropy counts the winding numbers, showing an analogy
to the topological entanglement entropy which characterizes the topological
order in (2+1)-dimensional systems.Comment: 14 pages, no figures; (v2) a reference added, minor changes; (v3)
results and comments on special cases adde
Convex Functions and g-Rearrangements on Intervals
Article信州大学工学部紀要 66: 1-5 (1989)departmental bulletin pape
Decreasing Rearrangements of Non-Negative (C₀) Sequences and Some Extensions of Hardy-Littlewood-Pólya's Theorems
Article信州大学工学部紀要 49: 13-22 (1980)departmental bulletin pape
Average phase factor in the PNJL model
The average phase factor of the QCD determinant is evaluated at finite quark
chemical potential ({\mu}_q) with the two-flavor version of the Polyakov-loop
extended Nambu-Jona-Lasinio (PNJL) model with the scalar-type eight-quark
interaction. For {\mu}_q larger than half the pion mass at vacuum m_{\pi}, the
average phase factor is finite only when the Polyakov loop is larger than 0.5,
indicating that lattice QCD is feasible only in the deconfinement phase. A
critical endpoint (CEP) lies in the region of the zero average phase factor.
The scalar-type eight-quark interaction makes it shorter a relative distance of
the CEP to the boundary of the region. For {\mu}_q < m_{\pi}/2, the PNJL model
with dynamical mesonic fluctuations can reproduce lattice QCD data below the
critical temperature.Comment: 8 pages, 6 figure
Describing the proper n-shape category by using non-continuous functions
In this paper, we describe the proper n-shape category by using non-continuous functions. Moreover, applying non-continuous homotopies, we show that the Cech expansion is a polyhedral expansion in the proper n-homotopy category
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