Thema: 
Shine a light! When matter shatters 
Datum: 
08.06.20 
Uhrzeit: 
16:15 
Ort: 
cyberspace 
Vortragender: 

TU Darmstadt 

Inhalt: 
The microscopic properties of stronginteraction matter under extreme conditions of temperature and density is a topic of great interest. Matter in equilibrium radiates photons with a thermal spectrum revealing its temperature in the slope of the energy distribution. This is generalized for virtual photons, which materialize after a short time by creation of a pair of charged leptons (dileptons), for which their invariant mass takes the role of the energy as observable. In contrast to the case of photons, their spectral distribution is not affected by a blue (or red) shift. Moreover, dileptons offer the unique opportunity also to directly monitor inmedium electromagnetic spectral functions. Hence, dilepton spectra from stronginteraction medium reflect not only its temperature but also are sensitive to possible effects of a restoration of the spontaneously broken chiral symmetry. This talk will discuss important experimental results obtained so far at various facilities and the latest theoretical developments on emissivity of matter. 
Ansprechpartner: 
Thema: 
The problem of latency in estimating the Covid19 replication number 
Datum: 
08.05.20 
Uhrzeit: 
16:15 
Ort: 
ZOOM/Konferenzschaltung 
Vortragender: 

University of Texas at Austin 

Inhalt: 
Figuring out how to restart the world's economy without a resurgence of disease depends on understanding how contagious Covid19 really is. However, estimates of the basic replication number $R_0$ vary greatly, with wellrespected groups publishing estimates whose 95% confidence intervals don't even overlap. In this talk I'll go over the basic SIR and SEIR models of disease spread and present several different ways to treat the latency period between being exposed and becoming infectious. Simple SEIR models are unstable; working with a fixed set of data, small changes to the model can result in large changes to the estimated value of $R_0$. More realistic models are more complicated and are even less stable. The upshot is that we know much less about $R_0$ than is generally believed, and the error bars on the high side are particularly large. Containing the outbreak for an extended period may be a lot harder than our leaders think. 
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Thema: 
Fermion bag inspired Hamiltonian lattice field theory 
Datum: 
14.07.20 
Uhrzeit: 
14:15 
Ort: 
cyberspace 
Vortragender: 

Perimeter Institute 

Inhalt: 
Motivated by the fermion bag approach, we construct a new class of Hamiltonian lattice field theories that can help us to study fermionic quantum critical points, particularly those with fourfermion interactions. Although these theories are constructed in discrete time with a finite temporal lattice spacing $\epsilon$, when \$epsilon$ goes to zero, conventional continuoustime Hamiltonian lattice field theories are recovered. The fermion bag algorithms run relatively faster when $\epsilon = 1$ as compared to $\epsilon$ going to zero, but still allow us to compute universal quantities near the quantum critical point even at such a large value of $\epsilon$. As an example of this new approach, here we study the $N_f = 1$ GrossNeveu chiral Ising universality class in $2+1$ dimensions by calculating the critical scaling of the staggered mass order parameter. We show that we are able to study lattice sizes up to $100^2$ sites when $\epsilon = 1$. while with comparable resources we can only reach lattice sizes of up to $64^2$ when $\epsilon$ goes to zero. The critical exponents obtained in both these studies match within errors. 
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Thema: 
2205202014.15 hrs  D5153  Construction of tight binding models from ab initio calculations using maximally localized Wannier functions 
Datum: 
22.05.20 
Uhrzeit: 
14:15 
Ort: 
D5153 
Vortragender: 

Universtität Bielefeld 

Inhalt: 

Ansprechpartner: 
Thema: 
Statistics of Extremes in Eigenvaluecounting Staircases 
Datum: 
04.06.20 
Uhrzeit: 
16:00 
Ort: 
ZOOM / Konferenzschaltung 
Vortragender: 

King's College London 

Inhalt: 
We consider the counting function (“spectral staircase”) for eigenvalues of a random unitary matrix, drawn from the corresponding betaensemble. Our goal is to characterize the statistics of maximum deviation of this staircase from its mean slope in a fixed interval, when size of the matrix N >>1. We will show that onesided extremes can be addressed by exploiting a mapping onto the statistical mechanics of logcorrelated random processes and using an extended FisherHartwig conjecture. The resulting statistics exhibits combined features of counting statistics of Fermions with Sutherlandtype interaction and extremal statistics of the fractional Brownian motion with Hurst index H = 0. Some of the features are expected to be universal. The talk is based on the paper FyodorovLe Doussal arXiv:2001.04135. 
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Thema: 
Averaged characteristic polynomials in polynomial ensembles: determinantal formulas and universality 
Datum: 
08.07.20 
Uhrzeit: 
09:00 
Ort: 
ZOOM / Konferenzschaltung 
Vortragender: 

Universität Bielefeld 

Inhalt: 
We consider a subclass of probability measures within determinantal point processes called polynomial ensembles. Examples of such ensembles include products of independent random matrices, with applications to Lyapunov exponents, and random matrices with an external field, that may serve as schematic models of quantum field theories with temperature. We analyze expectation values of characteristic polynomials to obtain determinantal formulas for quantities such as the correlation kernel. This leads to the notion of invertibility in polynomial ensembles, which can be used to derive determinantal formulas only depending on the number of characteristic polynomials. The correlation kernels for two models, closely related to applications in effective field theory, are derived via these formulas for finite N. We perform large N asymptotic analysis of the two kernels and obtain universality results in form of Besseltype kernels. 
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