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Author  |
Catumba, G.; Ramos, A. |
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Title |
Stochastic automatic differentiation and the signal to noise problem |
Type |
Journal Article |
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Year |
2025 |
Publication |
European Physical Journal C |
Abbreviated Journal |
Eur. Phys. J. C |
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Volume |
85 |
Issue |
9 |
Pages |
1037 - 9pp |
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Keywords |
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Abstract |
Lattice Field theory allows to extract properties of particles in strongly coupled quantum field theories by studying Euclidean vacuum expectation values. When estimated from numerical Monte Carlo simulations these are typically affected by the so called Signal to Noise problem: both the signal and the variance decay exponentially with the Euclidean time, but the variance decays slower, making the signal to noise ratio to degrade exponentially fast. In this work we show that writing correlators as derivatives with respect to sources and evaluating these derivatives using techniques of stochastic automatic differentiation can eliminate completely the signal to noise problem. We show some results in scalar field theories, and comment on the prospects for applicability in Gauge theories and QCD. |
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Address |
[Catumba, G.] Univ Milano Bicocca, Dept Phys, Piazza Sci 3, I-20126 Milan, Italy, Email: guilherme.catumba@mib.infn.it; |
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Publisher |
Springer |
Place of Publication |
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Language |
English |
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Original Title |
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Series Title |
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Series Volume |
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Series Issue |
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Edition |
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ISSN |
1434-6044 |
ISBN |
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Notes |
WOS:001576221000002 |
Approved |
no |
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Is ISI |
yes |
International Collaboration |
yes |
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Call Number |
IFIC @ pastor @ |
Serial |
6852 |
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