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Logarithmic tensor category theory, VI: Expansion condition, associativity of logarithmic intertwining operators, and the associativity isomorphisms
Logarithmic tensor category theory, VI: Expansion condition associativity of logarithmic intertwining operators associativity isomorphisms
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2011/2/23
This is the sixth part in a series of papers in which we introduce and develop a natural, general tensor category theory for suitable module categories for a vertex (operator) algebra. In this paper (...
Sieve in expansion
Sieve expansion
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2011/1/21
This report presents recent works extending sieve methods, from their classical setting, to
new situations characterized by the targeting of sets with exponential growth, arising often
from discrete...
The asymptotic expansion of Tracy-Widom GUE law and symplectic invariants
asymptotic expansion of Tracy-Widom GUE law symplectic invariants
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2010/12/28
We establish the relation between two objects: an integrable system related to Painlev´e II equation, and the symplectic invariants of a certain plane curve TW. This curve describes the average...
Heat kernel expansion and induced action for the matrix model Dirac operator
Heat kernel expansion induced action matrix model Dirac operator
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2011/3/3
We compute the quantum effective action induced by integrating out fermions in Yang-Mills matrix models on a 4-dimensional background, expanded in powers of a gauge-invariant UV cutoff.
Geometric approach to asymptotic expansion of Feynman integrals
Geometric asymptotic expansion Feynman integrals
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2010/12/27
We present an algorithm that reveals relevant contributions in non-threshold-type asymptotic expansion of Feynman integrals about a small parameter. It is shown that the problem reduces to finding a c...
Absence of sign problem in the (saddle point approximation of the) nilpotency expansion of QCD at finite chemical potential
nilpotency expansion QCD finite chemical potential
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2011/1/6
We have developed a method to derive the (approximate) quark contribution to the fermion free energy of QCD on a lattice, at finite temperature and chemical potential, with Kogut-Susskind fermions in ...
Perturbative expansion of N <8 Supergravity
Perturbative expansion Supergravity
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2010/12/24
We characterise the one-loop amplitudes for N=6 and N=4 supergravity in four dimensions. For N=6 we find that the one-loop n-point amplitudes can be expanded in terms of scalar box and triangle funct...
On the high-density expansion for Euclidean Random Matrices
the high-density expansion Euclidean Random Matrices
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2010/12/27
Diagrammatic techniques to compute perturbatively the spectral properties of Euclidean Random Matrices in the high-density regime are introduced and discussed in detail. Such techniques are developed ...
The 1/N expansion of colored tensor models
The 1/N expansion colored tensor models
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2010/12/27
In this paper we perform the 1/N expansion of the colored three dimensional Boulatov tensor model. As in matrix models, we obtain a systematic topological expansion, with more and more complicated to...
The influence of inhomogeneities on the large-scale expansion of the universe
the large-scale expansion universe
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2010/12/27
The evolution of an inhomogeneous universe composed entirely of matter is followed from an early, nearly uniform state until the time when the inhomogeneities have begun to grow large. The particular...
Hydrodynamic Expansion of a Strongly Interacting Fermi-Fermi Mixture
Hydrodynamic Expansion Strongly Interacting Fermi-Fermi Mixture
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2010/11/25
We report on the expansion of a Fermi-Fermi mixture of 6Li and 40K atoms under conditions of
strong interactions realized near the center of an interspecies Feshbach resonance. We observe two differe...
Can noncommutative effects of quantum nature account for the present speed up of the cosmic expansion?
noncommutative quantum nature account
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2010/12/20
In this paper we investigate to which extent noncommutativity, a intrinsically quantum property,may influence the Friedmann-Robertson-Walker cosmological dynamics at late times/large scales.
Time-convolutionless master equation for quantum dots: Perturbative expansion to arbitrary order
Time-convolutionless master equation quantum dots Perturbative expansion arbitrary order
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2010/11/19
The master equation describing the non-equilibrium dynamics of a quantum dot coupled to metallic leads is considered. Employing a superoperator approach, we derive an exact time-convolutionless master...
The influence of inhomogeneities on the large-scale expansion of the universe
influence of inhomogeneities large-scale expansion of the universe
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2010/11/12
The evolution of an inhomogeneous universe composed entirely of matter is followed from an early, nearly uniform state until the time when the inhomogeneities have begun to grow large. The particular ...
Forming Protostars in Molecular Clouds with Shocked Envelope Expansion and Core Collapse
ISM clouds — ISM individual (FeSt 1-457)— line: profiles — radiative transfer — stars
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2010/11/12
Spectral observations of molecular line profiles reveal the so-called ‘blue profiles’ for
double-peaked molecular lines with stronger blue and weaker red peaks as notable features for star-forming cl...