Archimedes Andrews and the Euclidean time bomb

1987 ◽  
Vol 9 (1) ◽  
pp. 44-47
Author(s):  
Barry A. Cipra
Keyword(s):  
Euclidean Time

scholarly journals Calm Multi-Baryon Operators

2018 ◽  
Vol 175 ◽  
pp. 05029
Author(s):  
Evan Berkowitz ◽  
Amy Nicholson ◽  
Chia Cheng Chang ◽  
Enrico Rinaldi ◽  
M.A. Clark ◽  
...  
Keyword(s):  
Correlation Function ◽  
Excited State ◽  
Variational Method ◽  
Linear Combination ◽  
Correlation Functions ◽  
Nuclear Physics ◽  
Physical Point ◽  
Euclidean Time ◽  
Optimal Linear Combination ◽  
Optimal Linear

There are many outstanding problems in nuclear physics which require input and guidance from lattice QCD calculations of few baryons systems. However, these calculations suffer from an exponentially bad signal-to-noise problem which has prevented a controlled extrapolation to the physical point. The variational method has been applied very successfully to two-meson systems, allowing for the extraction of the two-meson states very early in Euclidean time through the use of improved single hadron operators. The sheer numerical cost of using the same techniques in two-baryon systems has so far been prohibitive. We present an alternate strategy which offers some of the same advantages as the variational method while being significantly less numerically expensive. We first use the Matrix Prony method to form an optimal linear combination of single baryon interpolating fields generated from the same source and different sink interpolating fields. Very early in Euclidean time this optimal linear combination is numerically free of excited state contamination, so we coin it a calm baryon. This calm baryon operator is then used in the construction of the two-baryon correlation functions.To test this method, we perform calculations on the WM/JLab iso-clover gauge configurations at the SU(3) flavor symmetric point with mπ~ 800 MeV — the same configurations we have previously used for the calculation of two-nucleon correlation functions. We observe the calm baryon significantly removes the excited state contamination from the two-nucleon correlation function to as early a time as the single-nucleon is improved, provided non-local (displaced nucleon) sources are used. For the local two-nucleon correlation function (where both nucleons are created from the same space-time location) there is still improvement, but there is significant excited state contamination in the region the single calm baryon displays no excited state contamination.

scholarly journals Geometric description of Schrödinger equation in Finsler and Funk geometry

2019 ◽  
Vol 16 (07) ◽  
pp. 1950098
Author(s):  
Asma Bashir ◽  
Benjamin Koch ◽  
Muhammad Abdul Wasay
Keyword(s):  
Schrödinger Equation ◽  
Schrodinger Equation ◽  
Geometric Description ◽  
Matching Conditions ◽  
Euclidean Time ◽  
Pilot Wave ◽  
Finslerian Manifold ◽  
Wave Limit ◽  
Quantum Equations

For a system of [Formula: see text] non-relativistic spinless bosons, we show by using a set of suitable matching conditions that the quantum equations in the pilot-wave limit can be translated into a geometric language for a Finslerian manifold. We further link these equations to Euclidean time-like relative Funk geometry and show that the two different metrics in both of these geometric frameworks lead to the same coupling.

scholarly journals Uncertainties of Euclidean time extrapolation in lattice effective field theory

2015 ◽  
Vol 42 (3) ◽  
pp. 034012 ◽  
Author(s):  
Timo A Lähde ◽  
Evgeny Epelbaum ◽  
Hermann Krebs ◽  
Dean Lee ◽  
Ulf-G Meißner ◽  
...  
Keyword(s):  
Field Theory ◽  
Effective Field Theory ◽  
Effective Field ◽  
Euclidean Time ◽  
Time Extrapolation

scholarly journals AREA SPECTRUM OF BTZ BLACK HOLES FROM THE PERIODICITY IN EUCLIDEAN TIME

2012 ◽  
Vol 21 (08) ◽  
pp. 1250068 ◽  
Author(s):  
ALEXIS LARRAÑAGA
Keyword(s):  
Black Holes ◽  
Black Hole ◽  
Angular Momentum ◽  
Three Dimensional ◽  
Outgoing Wave ◽  
Area Spectrum ◽  
Gravitational System ◽  
Euclidean Time ◽  
Rotating Black Holes ◽  
Area Spectra

In this paper, we analyze the area spectrum of BTZ three-dimensional black holes by considering an outgoing wave and relating its period of motion with the period of the gravitational system with respect to Euclidean time. The area spectra obtained for the rotating and non-rotating black holes are equally spaced and it is important to note that in this paper, we do not need to use the small angular momentum assumption which is necessary in the quasinormal mode approach for rotating black holes. The results suggest that the periodicity of the black hole gravitational system may be the origin of area quantization.

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